Phys rev x 1 021014 Can they exist in other material systems? Chern insulators are band insulators exhibiting a nonzero Hall conductance but preserving the lattice translational symmetry. This license permits The van der Waals compound, MnBi 2 Te 4, is the first intrinsic magnetic topological insulator, providing a materials platform for exploring exotic quantum phenomena such as the axion insulator state and the quantum anomalous Hall effect. Hatsugai, Chern Number and Edge States in the Integer Quantum Hall Effect, Phys. Andrei Bernevig, Taylor L. Subject Areas. Fukui, and H. Computer simulations of many models of glass-forming liquids fully characterize how they relax into energy minima in a rugged energy landscape. Rev. IJMPB covers important progress in Condensed Matter Physics, Statistical Physics, and Atomic, Molecular and Optical Physics, including novel topological, low dimensional materials. 0 7) samples by using the sol-gel method without postannealing under high oxygen pressure, and then measured temperature-dependent resistivity under various hydrostatic pressures up to 18 GPa by using the cubic anvil and two-stage multianvil apparatus. X 8, 021056 (2018) - Published 1 June, 2018 New experiments reveal that a spin-lattice coupling in the compound NaFeAs might be responsible for the electronic nematic state, where electrons share properties of some liquid crystals, seen in materials such as iron-based superconductors. Žnidarič, Exact Convergence Times for Generation of Random Bipartite Entanglement, Phys. Tanaka and N. Bernevig, Fractional Chern Insulator, Phys. The flux and penetrate the dark shaded region and each of the light shaded regions, respectively. GdTiO 3 / SrTiO 3 interfaces exhibit a high-density 2D electron gas on the SrTiO 3 side of the interface, while, for the SrTiO 3 films, carriers are provided by the dopant atoms. Phys. g. The paramagnetic shifts of both planar and apical oxygen sites show pronounced anomalies near the nominal a-axis strain ϵ a a ≡ ϵ v that maximizes the superconducting transition temperature 2160-3308=24=14(2)=021014(22) 021014-1 Published by the American Physical Society. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, In the case of open boundary conditions, the two additional terms X 1 P 2 and X L − 1 P L are added to Eq. dynamics is further elaborated later. A novel form of optical nonreciprocal dissipation engineering marks a milestone in the long-standing challenge of building practical on-chip isolators for photonic integrated circuits. point, the usual linear graphene dispersion curve flattens, and thus the density of states is high because Atomically thin semiconductors, e. X 10, 021013 (2020) 021013-3. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, Figure 6 (a) Finite-size scaling of the average bipartite mutual information at , with a contiguous region of length , and its complement. [2] [3] They were first predicted to exist in topological flat bands carrying Chern numbers. and transmission regions are given by "R, "M, and "T, PHYSICAL REVIEW X 10, 021014 (2020) 2160-3308=20=10(2)=021014(42) 021014-1 Published by the American Physical Society. A 78, 032324 (2008). 1, D12 = -D21 = 0. Vaidman, How the Result of a Measurement of a Component of the Spin of a Spin-1 / 2 Particle Can Turn Out to Be 100, Phys. Wen, Gapped Quantum Liquids and Topological Order, Stochastic Local Transformations and Emergence of Unitarity, Phys. In two dimensions with no symmetries beyond charge conservation, for example, bands are characterized by a topological Chern number, C (). reference search 261 citations. The ruby lattice Chern insulator model for both fermions and bosons exhibits a clear signature of CF states at filling factors $2/5$ and $3/7$ ($2/3$ and $3/4$ for bosons). Plasma Physics Astrophysics. 021014; View in: ADS Abstract Service; pdf cite claim. Kunz, Jonathan Squire, Eliot Quataert, and Alexander A. In particular, the teleportation of quantum information relies on many-body dynamics, Gravitational Redshift in Quantum-Clock Interferometry Albert Roura Phys. It is important to point out that we do not use the periodic approximant to perform a “band calculation” inside the Brillouin zone of the unit cell of the approximant. Read PDF. In the mixed phase (is shown), strongly The dynamics of quantum information in strongly interacting systems, known as quantum information scrambling, has recently become a common thread in our understanding of black holes, transport in exotic non We report the first numerical observation of composite fermion (CF) states in fractional Chern insulators (FCI) using exact diagonalization. Related Articles. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI The Ce 3 + pseudospin-1 / 2 degrees of freedom in the pyrochlore magnet Ce 2 Zr 2 O 7 are known to possess dipole-octupole character, making it a candidate for novel quantum spin liquid ground states at low temperatures. X 10, 021001 (2020) - Published 1 April, 2020. Galego, F. We extract an effective third-order Reuse & Permissions. ; S. CRISTINA MARCHETTI PHYS. Stanford, and L. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, Several thousand compounds from the Inorganic Crystal Structure Database have been considered as nanograined, sintered-powder thermoelectrics with the high-throughput ab-initio AFLOW framework. A. It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 4. X 14, 021002 (2024) - Published 2 April, 2024. , Massive Dirac Fermion on the Surface of a Magnetically Doped Topological Insulator, Science 329, 659 (2010). Nuclear Physics Drilling into Neutron Stars with Computers January 6, 2025. X 11, 021014 (2021) 021014-2. Unfortunately, due to the presence of fractions k=2, the model in [12]is not in Bloch form. We achieve this by mapping the lattice problem to the lowest Landau level of a multicomponent continuum quantum Hall PHYSICAL REVIEW X 11, 021014 (2021) 2160-3308=21=11(2)=021014(11) 021014-1 Published by the American Physical Society. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, Remarkable recent experiments have observed fractional quantum anomalous Hall effects at zero field and unusually high temperatures in twisted semiconductor bilayer t MoTe 2, hence realizing the first genuine fractional Chern insulators. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, The energy and entanglement spectrum of fractionally filled interacting topological insulators exhibit a peculiar manifold of low-energy states separated by a gap from a high-energy set of spurious states. Fukui, Phys. In this work, we disprove this common lore by presenting a theory for all topological ideal flatbands with nonzero Chern number $\\mathcal{C}$. We show that there are strong connections between neural-network quantum states in the form of restricted Boltzmann machines and some classes of tensor-network states in arbitrary dimensions. 127, 193901 (2021)] correctly quantifies the light-matter interaction of our experiments and provides a spatiotemporal-torque-based explanation for the first measurement of STOVs [N. B 93, 224507 (2016). S. These results reveal the buildup of a DAQING WANG et al. Grusdt, F. W. 62, 2747 (1989). Hancock et al. Ouellette, Adam P. Figure 1 (a) Simple example of dissipative protection of a quantum state. X 13, 021014 – Published 26 April 2023 Phys. A new statistical-physics study reveals when and how fast spreading results from correlation between lateral (intralayer) and vertical (interlayer) spreading. However, intrinsic structural imperfections lead to bulk conductivity, and the roles of magnetic defects are still unknown. X 10, 021014 (2020) - Published 20 April, 2020. A study using local compressibility measurements reports fractional Chern insulator states at low magnetic field in magic-angle twisted bilayer graphene, and establishes the applied magnetic It is commonly believed that nonuniform Berry curvature destroys the Girvin-MacDonald-Platzman algebra and as a consequence destabilizes fractional Chern insulators. Williams, Daniel G. of the electronic ground state (jg;v ¼ 0i) to a higher vibrational level of the electronic excited state (je;v ≠ 0i) at wavelength λ ¼ 766 nm. To render it in Bloch form, we perform thegaugetransformationc kB! c Reuse & Permissions. Regression analysis unveils that the power factor is positively correlated with both the electronic band gap and the carrier effective mass, and that the probability of Phys. Letscher, Phys. Chern insulators are band insulators exhibiting a nonzero Hall conductance but preserving the lattice translational symmetry. For clarity, shown together is the pump-induced coherent phonon emission (black line, overlaid) that is measured simultaneously as a function of Δt PP. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, We investigate the algebraic structure of flat energy bands a partial filling of which may give rise to a fractional quantum anomalous Hall effect (or a fractional Chern insulator) and a fractional quantum spin Hall effect. Intriguing observations in these experiments, such as the absence of integer Hall effects at twist angles where a fractional Hall @article{PhysRevX. 1103/PhysRevX. Cristina Marchetti Phys. Albert, and L. X 12, 021001 (2022) - Published 1 April, 2022. In order to identify the key ingredients A recent experiment has reported the first observation of a zero-field fractional Chern insulator (FCI) phase in twisted bilayer MoTe 2 moiré superlattices [J. X 14, 021014 (2024) - Published 19 April, 2024. X 8, 021014 (2018). We report cooling of a single neutral atom to its three-dimensional vibrational ground state in an optical tweezer. 1 ICFO-Institut de Ciencies Fotoniques, Mediterranean Technology Park, 08860 Castelldefels (Barcelona), Spain; 2 Institute of Physics, Center for Interdisciplinary Nanostructure Science and Technology (CINSaT), University of Kassel, Heinrich-Plett-Strasse 40, 34132 Kassel, Germany; 3 Max-Planck-Institut für Kernphysik, Figure 1 (a) Unit cell of Haldane’s model on the honeycomb lattice: the NN hopping amplitudes are real (solid lines) and the NNN hopping amplitudes are in the direction of the arrow (dotted lines). In the pure phase (is shown) and at the critical point, becomes independent of initial conditions, displaying area-law behavior in the pure phase and logarithmic scaling with at the critical point. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, 1ð k x; k yÞ¼ h 1ðk x;k yÞ, as well as (at M ¼ 0) a certain type of particle-hole symmetry coupled with a C 4 rotation and a mirror operation, zh 1ðk x;k yÞ z ¼ h 1ðk y;k xÞ. Clement, Lorien X. Andrei}, journal = {Phys. X 11, 021014 (2021) - Published 15 April, 2021. L. X 1, 021014 (2011) – Published 2 December 2011 The fractional quantum Hall states are known to occur in 2-dimensional electron gases. Kent-Dobias, Danilo B. X 12, Reuse & Permissions. Under this ansatz, the probability that a pair of sites is partially or fully occupied is 1 − ( 1 − μ 0 ) 2 , and such an occupied pair evolves to fill a given site of the pair with probability 1 − p . This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI The presence and construction of topological states in two-dimensional quasicrystalline models are investigated. Aoki, Topological Analysis of the Quantum Hall Effect in Graphene: Dirac-Fermi Transition across van Hove Singularities and Edge versus Reuse & Permissions. different realizations are Oðt1=4Þ, so they are negligible in comparison with the Fractional Chern insulators (FCIs) are lattice generalizations of the fractional quantum Hall effect that have been studied theoretically since 1993 [1] and have been studied more intensely since early 2010. While this is easily understood when a local B. ALBERT ROURA PHYS. Neural-network quantum states have recently been introduced as an Ansatz for describing the wave function of quantum many-body systems. X 1, 021001 (2011) – Published 3 October 2011. X 14, 021014 – Published 19 April 2024. The emission scales with the cube of the intensity of the incident near-infrared femtosecond pulses and has a wavelength that is one-third of the incident wavelength, both consistent with third harmonic generation. F. energy can be recycled from one gate to the next, and that the energy requirement for a sequence of gates We study four different models of Chern insulators in the presence of strong electronic repulsion at partial fillings. -Y. We observe that all cases exhibit a Laughlin-like phase at filling fraction $1/3$. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI PHYSICAL REVIEW X 8, 021014 (2018) 2160-3308=18=8(2)=021014(30) 021014-1 Published by the American Physical Society. We consider a nonlinear resonator , coupled to an auxilliary “shadow” spin , and we wish to hold the resonator in the one-photon state against a loss rate . Reuse & Permissions. We present a hypothesis for the universal properties of operators evolving under Hamiltonian dynamics in many-body systems. Hughes, and Shou-Cheng Zhang, Quantum Spin Fall Effect and Topological Phase Transition in HgTe Quantum Wells, Science 314, 1757 (2006). 2015 , 051 . Xu et al. Sethna Recently, two interesting candidate quantum phases—the chiral spin-density wave state featuring anomalous quantum Hall effect and the d + i d superconductor—were proposed for the Hubbard model on the honeycomb Reuse & Permissions. 7° and calls for The origin of many quantum-material phenomena is intimately related to the presence of flat electronic bands. variance is fixed the energy can still take an CHIRIBELLA, YANG, and RENNER PHYS. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, J. X 1, 021014 (2011). For example, the condition of an interface state formation in the interfacial region of two different one-dimensional PCs is simply Z SL + Z SR = 0, where Z SL (Z SR) is the surface impedance of the semi-infinite PC on the left-hand (right-hand) side of the interface. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, Reuse & Permissions. The smooth single-particle Bloch wave function is OPTICAL THIRD-HARMONIC GENERA TION IN GRAPHENE PHYS. Any errors or omissions are the responsibility of the primary publisher. str-el] DOI: 10. The fractional quantum Hall states are known to occur in 2-dimensional electron gases. A new theoretical analysis of one-dimensional spin chains reveals details about how information moves and entanglement grows in such systems. We implement the Haldane pseudopotential Hamiltonians in this new basis. We do so by coupling the resonator and shadow spin with a two-photon drive , which resonantly adds a photon to the resonator and Reuse & Permissions. Random quantum circuits yield minimally structured models for chaotic quantum dynamics, which are able to capture, for example, universal To find μ 0, make the ansatz that each μ (x) is independent from μ (x ′) for x ≠ x ′. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, Phys. Go to reference in article Crossref Google Scholar [14] Kane C L and Mele E J 2005 Quantum spin Hall effect in graphene Phys. The smooth single-particle Bloch wave function is Reuse & Permissions. X 8, 021014 (2018) 021014-2. X 13, 021014 – Published 26 April 2023 See Viewpoint: Turbulence in Collisionless Cosmic Plasmas We define topological invariants in terms of the ground-state wave functions on a torus. Jhajj et al. X 12, 011039 (2022) - Published 1 March, 2022 Quantum metrology methods are well suited when measuring a single parameter, but more than one remains challenging. INTRODUCTION The interest in the field of topological We show that the minimal nonreciprocal Cahn-Hilliard equations exhibit a surprisingly rich set of behaviors, including interrupted coarsening of traveling waves without Phys. X 1, 021001 (2011)] Conan Weeks, Jun Hu, Jason Alicea, Marcel Franz, and Ruqian Wu Phys. X 5, 021014 – Published 6 May 2015 See Synopsis: Zooming in on Failures. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, It is commonly believed that nonuniform Berry curvature destroys the Girvin-MacDonald-Platzman algebra and as a consequence destabilizes fractional Chern insulators. D (1) Physics (1) Physics of Plasmas (1) Data for non-APS articles provided by the publisher of the respective journals through CrossRef. PHYS. Hayden, Jaron P. 1. Sumita and Y. Their ground states are the model FQH wave Reuse & Permissions. For , the model is gauge equivalent to having one flux quantum per unit For nonequilibrium two-point functions this is the case away from the regime t 2 − t 1 < x 2 − x 1 ≤ t 2 + t 1. X 1, 021014 (2011) – Published 2 December 2011. We conclusively show that a partially filled Chern DOI: 10. 0 International license. In this work, we disprove this common lore by presenting a theory for all topological ideal flatbands with nonzero Chern number $\mathcal{C}$. X 3, 021014 (2013) 021014-2. Vijay, and J. B 91, 125121 (2015). B. and Bernevig, B. X 10, 021014 (2020) 021014-2. They can appear in topologically non-trivial band structures even in the absence of Reuse & Permissions. X 3, 021014 (2013) 021014-3. We further observe coherent control of the spin and motional state The effects of uniaxial compressive stress on the normal state O 17 nuclear-magnetic-resonance properties of the unconventional superconductor Sr 2 RuO 4 are reported. James Allen, and Susanne Stemmer Reuse & Permissions. We provide evidence of such a strongly correlated topological phase by studying both the energy and the entanglement spectra. This license permits Reuse & Permissions. In the current paper, we show that in the case of fractionally filled Chern insulators, the topological information of the many-body state developing in the system resides Phys. [13] Regnault N and Bernevig B A 2011 Fractional Chern insulator Phys. New experiments show that a prototype diffuser based on acoustic metasurfaces performs on par with conventional designs despite being roughly 1 order of magnitude thinner. Magnetotransport and superconducting properties are investigated for uniformly La-doped SrTiO 3 films and GdTiO 3 / SrTiO 3 heterostructures, respectively. Yanase, Magnetic Hexadecapole Order and Magnetopiezoelectric Metal State in Ba 1 − x K x Mn Reuse & Permissions. A theoretical study shows that the low mobilities are caused by the scattering of electrons by charged impurities and points to high-$\\ensuremath{\\kappa}$ dielectric coatings as a way to Reuse & Permissions. Haah, Operator Spreading in Random Unitary Circuits, Phys. X 14, 021014 (2024) 021014-2. J. This license permits Our OAM theory for spatiotemporal optical vortex (STOV) pulses [S. We find that the density-wave-like anomaly in Phys. Parameters: kappa = 1, D11 = -1, D22 = 0. Roberts, D. This license permits Kinetic Turbulence in Collisionless High-β PlasmasLev Arzamasskiy, Matthew W. Movie 7. Simulations of neutron stars provide new bounds on their properties, such as their internal pressure and their maximum mass. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, Bands in electronic systems can be classified by their symmetry and topology (). This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, We extend the concept of an entanglement spectrum from the geometrical to the particle bipartite partition. different realizations are Oðt1=4Þ, so they are negligible in comparison with the Reuse & Permissions. No matter how clever the design of a quantum computer, the laws of physics demand a minimum amount of energy to produce accurate computations. A new theoretical analysis explores the transition between MBL and thermal phases and finds that the transition is driven by the growth of a network of quantum entanglement. Kajdos, David Goldhaber-Gordon, S. point of graphene and at non-normal-incidence angle in order to provide access to other nonlinear susceptibility HONG et al. ADAM NAHUM, SAGAR VIJAY, and JEONGWAN HAAH PHYS. 71, 3697 (1993). X 13, 021014 (2023) Published April 26, 2023. X 14, 021014 – Published 19 April 2024 The layered transition-metal dichalcogenide 1 T − TaS 2 has been recently found to undergo a Mott-insulator-to-superconductor transition induced by high pressure, charge doping, or isovalent substitution. We provide exact results and coarse-grained models for the spreading of operators by quantum circuits made of Haar-random unitaries. X 6, 031037 (2016)]. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI Phys. Go to reference in article Crossref Google Scholar Reuse & Permissions. Then Reuse & Permissions. A new tool for benchmarking the precision of multiple parameter measurements could help further development. X 14, 011011 – Published 5 February 2024 See Viewpoint: One In, Three Out for Microwave Photons. R. Lett. , Hedgehog Spin Triangular lattice of rare-earth ions with interacting effective spin-1 / 2 local moments is an ideal platform to explore the physics of quantum spin liquids (QSLs) in the presence of strong spin-orbit coupling, crystal electric By leveraging shared entanglement between a pair of qubits, one can teleport a quantum state from one particle to another. 0 License. The rate α —an experimental Random quantum circuits yield minimally structured models for chaotic quantum dynamics, able to capture for example universal properties of entanglement growth. X 2, 029901 (2012) J. (D1) in the analysis of Ref. They are valid in the presence of arbitrary many-body 2160-3308=13=3(2)=021014(10) 021014-1 Published by the American Physical Society. Regnault and B. 95 226801. We apply this to several fractional quantum Hall wave functions on both sphere and torus geometries to show that this new type of entanglement spectra completely reveals the physics of bulk quasihole excitations. Nahum, S. In time-reversal-invariant (TRI) systems, the inversion of spin-degenerate bands with Phys. Haakh and D. After employing Raman sideband cooling for tens of milliseconds, we measure via sideband spectroscopy a three-dimensional ground-state occupation of about 90 %. 95, 226801 (2005). Normal Form for Renormalization Groups Archishman Raju, Colin B. To render it in Bloch form, we perform thegaugetransformationc kB! c Thermalization and information scrambling can provide insight into fields as diverse as many-body quantum physics, quantum field theory, and holography. Yanase, Superconductivity in Magnetic Multipole States, Phys. By diagonalizing the Hubbard PHYSICAL REVIEW X 8, 021014 (2018) 2160-3308=18=8(2)=021014(30) 021014-1 Published by the American Physical Society. We synthesized polycrystalline La 3 Ni 2 O 7 − δ (δ ≈ 0. We conclusively show that a partially filled Chern insulator at 1/3 filling exhibits a fractional quantum Hall effect and rule out charge-density wave states that have not been ruled out by previous studies. Liarte, D. Hatsugai, T. -G. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, Jens Biegert 1,5. In the simplest example of a Laughlin state, quasiholes have a vanishing Phys. Zeb Rocklin, and James P. Research 5 013112 (2023) ``Going viral'' is a familiar phrase in the world of social media, but fundamental scientific understanding of the mechanism(s) of ``viral'' spreading in interconnected multilayer networks is very limited. H. Now, scientists report the third-harmonic generation of light in graphene and demonstrate the promise of this nonlinear optical response as a technically versatile microscopic imaging approach of the physical structure of graphene. 60, 1351 (1988). Watanabe and Y. This approach leads to precisely defined formulas for the Hall conductance in four dimensions and the topological magnetoelectric θ term in three dimensions, and their generalizations in higher dimensions. 2, L = 200. 4867 [cond-mat. Two-dimensional topological insulators are hard to find. More. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI . X 2, 021014 (2012)] Pouya Moetakef, James R. Zeng and X. Aharonov, D. Recently, a new class of thin, two-dimensional monolayer semiconductor materials known as monolayer transition-metal dichalcogenides (mTMDs)—with a chemical formula of M X 2, where M is a transition metal and X is O, S, Se, or Te—has shown Some quantum systems can enter a many-body localized (MBL) phase, where the particles do not settle into thermal equilibrium but remain stuck in some initial state. 5). By combining scanning tunneling microscopy measurements and first-principles calculations, we investigate the atomic scale electronic structure of the 1 T − TaS 2 Y. X 7, 021014 (2017) 021014-2. Yamamoto, Information Amplification via Postselection: A Parameter-Estimation Perspective, Phys. Interesting topological states that exist in the bulk but not at the boundary are found for single-particle Hofstadter models on quasicrystalline quasilattices. Cai , Signatures of fractional quantum anomalous Hall states in twisted MoTe 2, Nature (London) 622, 63 (2023). We conclusively show that a partially filled Chern In this paper, we reveal new universal theoretical structures governing how signals or disturbances spread through a many-body system (the quantum “butterfly effect”). High Energy Phys. The Chern number determines the Hall conductance contributed by a filled band, which takes quantized integer values, σ x y = t e 2 h We introduce a Bloch-like basis in a C-component lowest Landau level fractional quantum Hall (FQH) effect, which entangles the real and internal degrees of freedom and preserves an N x × N y full lattice translational symmetry. We first show that approximate flattening of bands with a nonzero Chern number is possible by tuning ratios of nearest-neighbor and next-nearest-neighbor hoppings in the Haldane model and, similarly, in the chiral-$\\ensuremath{\\pi}$-flux square lattice model. A 88, 042116 (2013). Z. The key feature of such turbulence is the interplay between local wave-wave interactions between the fluctuations in the cascade and the nonlocal wave-particle interactions associated with kinetic microinstabilities driven by anisotropy in the Charge-density-wave order has been observed in cuprate superconductors whose crystal structure breaks the square symmetry of the CuO 2 planes, such as orthorhombic YBa 2 Cu 3 O y (YBCO), but not so far in cuprates that preserve that symmetry, such as tetragonal HgBa 2 CuO 4 + δ (Hg1201). X 7, 031035 (2017). This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI Reuse & Permissions. Y. , Phys. X}, volume = {1}, issue = {2 We present a simple prescription to flatten isolated Bloch bands with a nonzero Chern number. X 5, 041022 (2015). REV. This license permits The study of CoNb 2 O 6 sits at the confluence of simplicity and complexity: on one hand, the model for Ising chains—the building blocks of CoNb 2 O 6 —in a transverse field can be exactly solved and, thus, serves as an archetype of quantum criticality; on the other hand, the weak but nonzero interchain coupling adds geometric frustration to the stage, substantially Phys. Feist, Cavity-Induced Modifications of Molecular Structure in the Strong Coupling Regime, Phys. In quantum simulation, such bands have been realized through line-graph lattices, a class of lattices known to exhibit flat bands. Traveling waves are ubiquitous and well understood in FRIDTJOF BRAUNS and M. Fractional Chern insulators (FCIs) are lattice generalizations of the fractional quantum Hall effect that have been studied theoretically since 1993 [1] and have been studied more intensely We investigate the algebraic structure of flat energy bands a partial filling of which may give rise to a fractional quantum anomalous Hall effect (or a fractional Chern insulator) Phys. Both types of samples exhibit Publisher’s Note: Engineering a Robust Quantum Spin Hall State in Graphene via Adatom Deposition [Phys. Interface undulations break up large droplets leading to chaotic dynamics in a system with non-equal mixture (\bar{\phi} = -0. High-order nonlinear processes such as four-wave mixing, third- and fifth-harmonic generation in all-dielectric subwavelength resonators are shown to be Reuse & Permissions. (1) only for small systems near the onset of S. Citations per year. The topological properties of these states are studied Phys. Physical Review X 8, 2 (April 2018): 021014. examined Eq. 1ð k x; k yÞ¼ h 1ðk x;k yÞ, as well as (at M ¼ 0) a certain type of particle-hole symmetry coupled with a C 4 rotation and a mirror operation, zh 1ðk x;k yÞ z ¼ h 1ðk y;k xÞ. Observation of Hydrogen-Induced Dzyaloshinskii-Moriya Interaction and Reversible Switching of Magnetic Chirality. X 13 031037 (2023) Relationship between two-particle topology and fractional Chern insulator Nobuyuki Okuma and Tomonari Mizoguchi Phys. X 1, 029901 (2011) Popular Summary Supercooling a viscous liquid fast enough leads to the formation of a glass, a material that is mechanically rigid, like crystalline solids, but structurally amorphous, similar to liquids. X 1 (2011) 021014; e-Print: 1105. We first construct pseudopotential Hamiltonians for fractional Chern insulators. X 1, 021014 Quantum Spin Hall effect in Graphene, Phys. 2011 2014 2017 2020 2023 0 10 20 30. X 1, 021014 – Published 2 December 2011. D. 021014, title = {Fractional Chern Insulator}, author = {Regnault, N. Susskind, Localized Shocks , J. Abstract: (APS) In this paper, we provide analytical counting rules for the ground states and the quasiholes of fractional Chern insulators with an arbitrary Chern number. The interplay between time-reversal symmetry (TRS) and band topology plays a crucial role in topological states of quantum matter. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI We observe optical third harmonic generation from graphene and few-layer graphite flakes produced by exfoliation. Martín-Cano, Squeezed Light from Entangled Nonidentical Emitters via Nanophotonic Environments , ACS Photonics 2 , 1686 (2015) . Garcia-Vidal, and J. X 1, 021002 – Published 3 October 2011 See Viewpoint: Spinning on Ice. , MoS${}_{2}$, may be an alternative to silicon in transistor electronics, but their electron mobilities as measured are apparently rather low. Chen et al. It is not necessary to obtain permission to reuse this article or its components as it is available under the terms of the Creative Commons Attribution 3. [ 42 ] that we follow in this Appendix. interferometer is provided in Appendix C, where the effect of the laser pulses is analyzed and the connection between Semiconductors are used throughout the electronics industry in transistors and integrated circuits. The experimental observation is at an unexpected large twist angle 3. We report new polarized neutron diffraction at low temperatures, as well as heat capacity (C p) measurements on single crystal Ce 2 Zr 2 O 7. A proposed scheme for creating a quantum superposition of atomic clocks at different heights offers a novel way of testing general relativity in the quantum regime. 021014 Subject Areas: Condensed Matter Physics, Strongly Correlated Materials, Topological Insulators I. Schekochihin Phys. Both effects arise in the case of a sufficiently flat energy band as well as a roughly flat and homogeneous Berry curvature, such that the global Chern Erratum: Carrier-Controlled Ferromagnetism in SrTiO 3 [Phys. M. We study both 1+1D and higher dimensions, and argue that the Reuse & Permissions. Recent advances have uncovered an intrinsically many-body generalization of quantum teleportation, with an elegant and surprising connection to gravity. This signal is recorded by exciting the sample through the aspheric lens that replaces This paper combines the concept of bound states in the continuum with engineering of epsilon-near-zero substrates to boost multi-frequency and multi-step cascaded nonlinear processes at the nanoscale. The hypothesis states that successive Lanczos coefficients in the continued fraction expansion of the Green’s functions grow linearly with rate α in generic systems, with an extra logarithmic correction in 1D. Based on that work, we conduct a high-throughput screening for line-graph lattices among the crystalline structures of the Phys. We present results from three-dimensional hybrid-kinetic simulations of Alfvénic turbulence in a high-β, collisionless plasma. ]. X 10, 021014 – Published 20 April 2020 Reuse & Permissions. We have measured the Hall (R H), Seebeck (S), and Nernst (ν) Phys. X 11, 021014 (2021) - Published 15 April, 2021 No matter how clever the design of a quantum computer, the laws of physics demand a minimum amount of energy to produce accurate computations. This license permits unrestricted Chern insulators are band insulators exhibiting a nonzero Hall conductance but preserving the lattice translational symmetry. Zak, Berry’s Phase for Energy Bands in Solids, Phys. X 14, 011010 (2024) - Published 1 February, 2024 An exact algorithm to calculate process tensors—compact representations of environmental influences—provides a scaling advantage over previous The optical properties of graphene previously used to probe its electronic structure are its optical dispersion and absorption coefficients. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, and DOI N. When one of the graphene layers of magic-angle twisted bilayer graphene is nearly aligned with its hexagonal boron nitride substrate (a configuration dubbed TBG/hBN), the active electronic bands are nearly flat Surface impedance is an important concept in classical wave systems such as photonic crystals (PCs). The destruction of the periodic nature of the Hofstadter butterfly, due to incommensurate Sound diffusers are widely used to improve acoustics in a space, but the size of traditional diffusers limits their usefulness at low- to mid-range frequencies. This license permits unrestricted use, distribution, and reproduction in any medium, provided attribution to the author(s) and the published article's title, journal citation, Nonreciprocal Pattern Formation of Conserved Fields Fridtjof Brauns and M. Rev. X 1 021014. qiuztscmizfvlmpuchebzbleowpzdoecjaviziqktycaszamzvpb