Fractional quantum Hall states at zero magnetic field

Abstract

We present a simple prescription to flatten isolated Bloch bands with non-zero Chern number. We first show that approximate flattening of bands with non-zero Chern number is possible by tuning ratios of nearest-neighbor and next-nearest neighbor hoppings in the Haldane model and, similarly, in the chiral-pi-flux square lattice model. Then we show that perfect flattening can be attained with further range hoppings that decrease exponentially with distance. Finally, we add interactions to the model and present exact diagonalization results for a small system at 1/3 filling that support (i) the existence of a spectral gap, (ii) that the ground state is a topological state, and (iii) that the Hall conductance is quantized.

4 pages, 2 figures

References in corpus (10)

• High temperature fractional quantum Hall states
• Nearly-flat bands with nontrivial topology
• Spin Anisotropy and Quantum Hall Effect in the Kagome Lattice - Chiral Spin State based on a Ferromagnet-
• Flat bands and Wigner crystallization in the honeycomb optical lattice
• Fractional quantum Hall states of atoms in optical Lattices
• Band touching from real space topology in frustrated hopping models
• Fractional Quantum Hall Effect in Optical Lattices
• Exact Parent Hamiltonian for the Quantum Hall States in a Optical Lattice
• Isolated Flat Bands and Spin-1 Conical Bands in Two-Dimensional Lattices
• Landau levels in the case of two degenerate coupled bands: kagome lattice tight-binding spectrum

Cited by in corpus (728)

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• Crystal-symmetry preserving Wannier states for fractional chern insulators
• Quantum transport in flat bands and super-metallicity
• ${\mathbb{Z}}_2$ slave-spin theory of a strongly correlated Chern insulator
• Elementary formula for the Hall conductivity of interacting systems
• Realistic flat-band model based on degenerate $p$-orbitals in two-dimensional ionic materials
• Fractional Chern Insulators in Singular Geometries
• The Rhombi-Chain Bose-Hubbard Model: geometric frustration and interactions
• Generalizing Quantum Hall Ferromagnetism to Fractional Chern Bands
• Quantum phases of a multimode bosonic field coupled to flat electronic bands
• Chiral Topological Orders in an Optical Raman Lattice
• Contrasting twisted bilayer graphene and transition metal dichalcogenides for fractional Chern insulators: an emergent gauge picture
• Chern Insulators on Singular Geometries
• Magic-angle Twisted Bilayer Systems with Quadratic-Band-Touching: Exactly Flat Bands with High-Chern Number
• Modified interactions in a Floquet topological system on a square lattice and their impact on a bosonic fractional Chern insulator state
• Interaction-enhanced integer quantum Hall effect in disordered systems
• Flat-band ferromagnetism in a topological Hubbard model
• Wave Functions for Fractional Chern Insulators on Disk Geometry
• Long-lived Topological Flatband Excitons in Semiconductor Moiré Heterostructures: a Bosonic Kane-Mele Model Platform
• Anisotropic Quantum Spin Hall Effect, Spin-Orbital Textures and Mott Transition
• Topological Phenomena in Trapped Ion Systems
• Quasielectrons as inverse quasiholes in lattice fractional quantum Hall models
• Integer and fractional quantum anomalous Hall effects in pentalayer graphene
• Flat-band solutions in $D$-dimensional decorated diamond and pyrochlore lattices: Reduction to molecular problem
• Designing topology and fractionalization in narrow gap semiconductor films via electrostatic engineering
• Quantum distance and the Euler number index of the Bloch band in a 1D spin model
• Visualizing the Localized Electrons of a Kagome Flat Band
• An Amelioration for the Sign Problem: Adiabatic Quantum Monte Carlo
• Probing the Flat Band of Optically-Trapped Spin-Orbital Coupled Bose Gases Using Bragg Spectroscopy
• Exotic Fractional Topological States in Two-Dimensional Organometallic Material
• Probing fractional topological insulators with magnetic edge perturbations
• \textit{Ab initio} study on spin fluctuations of itinerant kagome magnet FeSn
• Large-$N$ Chern insulators: lattice field theory and quantum simulation approaches to correlation effects in the quantum anomalous Hall effect
• Microscopic Mechanism of Anyon Superconductivity Emerging from Fractional Chern Insulators
• Fractional topological insulators of Cooper pairs induced by proximity effect
• Magnetic moiré surface states and flat chern band in topological insulators
• $Z_2$ fractionalized Chern/topological insulators in an exactly soluble correlated model
• Kagome metals
• Possible non-Abelian Moore-Read state in double-layer bosonic fractional quantum Hall system
• Giant anomalous Hall conductivity in the itinerant ferromagnet LaCrSb3 and the effect of f-electrons
• Quasiparticles as Detector of Topological Quantum Phase Transitions
• Localization properties in Lieb lattices and their extensions
• Symmetry breaking and fermionic fractional Chern insulator in topologically trivial bands
• Time-Reversal Invariant Topological Moiré Flatband: A Platform for the Fractional Quantum Spin Hall Effect
• Topological Superfluids and BEC-BCS Crossover in Attractive Haldane-Hubbard Model
• Tuning the topological insulator states of artificial graphene
• Correlations and entanglement in flat band models with variable Chern numbers
• Josephson Coupled Moore-Read States
• Necessary and sufficient conditions for flat bands in $M$-dimensional $N$-band lattices with complex-valued nearest-neighbour hopping
• Magnetic translation algebra with or without magnetic field in the continuum or on arbitrary Bravais lattices in any dimension
• Interplay of quantum phase transition and flat band in hybrid lattices
• Macroscopically degenerate localized zero-energy states of quasicrystalline bilayer systems in strong coupling limit
• The quantum anomalous Hall effect
• Displacement field-controlled fractional Chern insulators and charge density waves in a graphene/hBN moiré superlattice
• Universal structure of measurement-induced information in many-body ground states
• Topological characterization of hierarchical fractional quantum Hall effects in topological flat bands with SU($N$) symmetry
• Effective description of Chern insulators
• Hyperbolic Fractional Chern insulators
• Line-graph-lattice crystal structures of stoichiometric materials
• Adiabatic continuity, wavefunction overlap and topological phase transitions
• Topological quantum phase transitions driven by a displacement field in the twisted MoTe2 bilayers
• Interaction effects on almost flat surface bands in topological insulators
• Methods for constructing parameter-dependent flat band lattices
• Fractional quantum anomalous Hall effect in rhombohedral multilayer graphene with a strong displacement field
• Hard-core bosons in one-dimensional interacting topological bands
• Unconventional delocalization in a family of 3D Lieb lattices
• The scaling behavior of the insulator to plateau transition in topological band model
• Flat bands with local Berry curvature in multilayer graphene
• Methods for the construction of interacting many-body Hamiltonians with compact localized states in geometrically frustrated clusters
• Fractional Quantum Hall States of Dipolar Gases in Chern Bands
• Quantum phases of strongly-interacting bosons on a two-leg Haldane ladder
• Interacting topological mirror excitonic insulator in one dimension
• Interacting phase diagram of twisted bilayer MoTe${}_2$ in magnetic field
• Dispersion-driven ferromagnetism in a flat-band Hubbard system
• Intraband collective excitations in fractional Chern insulators are dark
• Tunable valley filtering in dynamically strained $\alpha$-${\mathcal{T}}_3$ lattices
• Superconductivity with intrinsic topological order induced by pure Coulomb interaction and time-reversal symmetry breaking
• Attractive Haldane bilayers for trapping non-Abelian anyons
• Ferromagnetism and Antiferromagnetism of Correlated Topological Insulator with Flat Band
• Periodic and aperiodic dynamics of flat bands in diamond-octagon lattice
• Magnetoresistance and Kondo effect in the nodal-line semimetal VAs${}_2$
• Charge-Neutral Electronic Excitations in Quantum Insulators
• Order-by-Disorder Degeneracy Lifting of Interacting Bosons on the Dice Lattice
• Emergent chiral spin ordering and anomalous Hall effect of kagome lattice at 1/3 filling
• One-dimensional lattice model with an exact matrix-product ground state describing the Laughlin wave function
• Higher Chern numbers in multilayer ($\mathcal{N}\ge 2$) Lieb lattices: Topological transitions and quadratic band crossing lines
• Intertwined Order in Fractional Chern Insulators from Finite-Momentum Pairing of Composite Fermions
• Flat-band ferromagnetism and spin waves in the Haldane-Hubbard model
• Catalogue of Flat-Band Stoichiometric Materials
• Electron correlations and $T$-breaking density wave order in a ${\mathbb{Z}}_2$ kagome metal
• Chern band insulators in magnetic field
• Lattice Laughlin states on the torus from conformal field theory
• Fragility of the fractional quantum spin Hall effect in quantum gases
• Quantum-metric-induced quantum Hall conductance inversion and reentrant transition in fractional Chern insulators
• Flat bands and $Z_2$ topological phases in a non-Abelian kagome lattice
• From Fractional Quantum Anomalous Hall Smectics to Polar Smectic Metals: Nontrivial Interplay Between Electronic Liquid Crystal Order and Topological Order in Correlated Topological Flat Bands
• Quantum Anomalous Hall Insulator of Composite Fermions
• Non-Abelian Fractional Chern Insulators and Competing States in Flat Moiré Bands
• Unraveling the origin of Kondo-like behavior in the 3$d$-electron heavy-fermion compound YFe${}_2$Ge${}_2$
• Interaction-induced conductance from zero modes in a clean magnetic graphene waveguide
• Bosonic fractional quantum Hall conductance in shaken honeycomb optical lattices without flat bands
• Truncation of lattice fractional quantum Hall Hamiltonians derived from conformal field theory
• Non-Abelian Fractional Chern Insulator in Disk Geometry
• Anomalous levitation and annihilation in Floquet topological insulators
• Quantum anomalous Hall crystals in moiré bands with higher Chern number
• Fermionic non-Abelian fractional Chern insulators from dipolar interactions
• Prediction of single-atom-thick transition metal nitride CrN${}_4$ with a square-planar network and high-temperature ferromagnetism
• Frustrated polaritons
• Optical lattice implementation scheme of a bosonic topological model with fermionic atoms
• Observation of Flat Frequency Bands at Open Edges and Antiphase Boundary Seams in Topological Mechanical Metamaterials
• Single-particle spectral function of fractional quantum anomalous Hall states
• Model wavefunctions for interfaces between lattice Laughlin states
• Magnetoresistance signature of two-dimensional electronic states in Co${}_3$Sn${}_2$S${}_2$
• Inertial spin waves in spin spirals
• Emergence of Nearly Flat Bands through an Embedded Kagome Lattice in an Epitaxial Two-dimensional Ge Layer on ZrB2(0001)
• Domain-wall topology induced by spontaneous symmetry breaking in polariton graphene
• Cluster-Based Haldane States in Spin-1/2 Cluster Chains
• Many-Body Chern Numbers of $\nu =1/3$ and $1/2$ States on Various Lattices
• Topological insulators with arbitrarily tunable entanglement
• Broken Symmetry in Ideal Chern Bands
• Non-Hermitian semi-Dirac semi-metals
• Bosonic fractional Chern insulating state at integer fillings in multi-band system
• On the zero-field quantization of the anomalous quantum Hall effect in moiré 2D layers
• Effective theory of fractional topological insulators in two spatial dimensions
• Domain Formation Driven by the Entropy of Topological Edge Modes
• Spin waves and orbital contribution to ferromagnetism in a topological metal
• Quantum anomalous, spin, and valley Hall effects in pentalayer rhombohedral graphene moiré superlattices
• Individual band with higher Chern numbers in double perovskite {001} monolayers
• Tunable Aharonov-Bohm cages through anti-$\mathcal{P}\mathcal{T}$-symmetric imaginary couplings
• Two-dimensional topological order of kinetically constrained quantum particles
• Tunneling-induced restoration of classical degeneracy in quantum kagome ice
• Emergent non-trivial lattices for topological insulators
• Squeezing anyons for braiding on small lattices
• Exact Topological Flat Bands from Continuum Landau Levels
• Surfaces and Slabs of Fractional Topological Insulator Heterostructures
• Edge states mechanism for the anomalous quantum Hall effect in diatomic square lattice
• Spectra of Magnetoroton and Chiral Graviton Modes of Fractional Chern Insulator
• Quarter-Filled Honeycomb Lattice with a Quantized Hall Conductance
• Fractional topological insulator precursors in spin-orbit fermion ladders
• Bounds for low-energy spectral properties of center-of-mass conserving positive two-body interactions
• Confined states and topological phases in two-dimensional quasicrystalline $\pi$-flux model
• Model wavefunctions for an interface between lattice Laughlin and Moore-Read states
• Higher-Order Van Hove Singularities in Kagome Topological Bands
• Synthetic Gauge Fields for Lattices with Multi-Orbital Unit Cells: Routes towards a $\pi$-flux Dice Lattice with Flat Bands
• Observation of a flat and extended surface state in a topological semimetal
• Programmable Hamiltonian engineering with quadratic quantum Fourier transform
• Universal Wilson Loop Bound of Quantum Geometry
• Designing single and degenerate flat bands in the kagome lattice with long-range hopping
• Tunable $t-t^{\prime }-U$ Hubbard models in twisted square homobilayers
• High Chern numbers and topological flat bands in high-field polarized Kitaev magnets on the star lattice
• A Passage to Topological Matter: Colloquium
• Fractional Chern Insulator and Quantum Anomalous Hall Crystal in Twisted MoTe${}_2$
• Fractional quantum Hall effect of Bose-Fermi mixtures
• Phase transitions of bosonic fractional quantum Hall effect in topological flat bands
• Construction of interacting flat-band models by molecular-orbital representation: Correlation functions, energy gap, and entanglement
• On the robustness of strongly correlated multi-photon states in frustrated driven-dissipative cavity lattices
• Flux modulated flat band engineering in square-kagome ladder network
• Low-energy optical absorption in correlated insulators: Projected sum rules and the role of quantum geometry
• Quantum Hall effects of exciton condensate in topological flat bands
• Anyon superconductivity and plateau transitions in doped fractional quantum anomalous Hall insulators
• Topological quantum phase transition in Kane-Mele-Kondo lattice model
• Electrical and thermal transport through $\alpha -T_3$ NIS junction
• Emergent quasiparticles in Euclidean tilings
• Characterization of fractional Chern insulator quasiparticles in twisted homobilayer MoTe${}_2$
• Light driven magnetic transitions in transition metal dichalcogenide heterobilayers
• Finite-wavevector Electromagnetic Response in Lattice Quantum Hall Systems
• Isolated nearly flat higher Chern band in monolayer transition metal trihalides
• Parafermions in Moiré Minibands
• Electronic States and Anomalous Hall Effect in Strongly Correlated Topological Systems
• Edge-driven transition between extended quantum anomalous Hall crystal and fractional Chern insulator in rhombohedral graphene multilayers
• Fractional Quantum Hall Effect Based on Weyl Orbits
• Mapping a fractional quantum Hall state to a fractional Chern insulator
• Topological states in strongly correlated systems
• Reentrant topological phases and entanglement scalings in moiré-modulated extended Su-Schrieffer-Heeger Model
• Engineering flux-controlled flat bands and topological states in a Stagome lattice
• Quantum geometric tensor and the topological characterization of the extended Su-Schrieffer-Heeger model
• Hierarchy of correlations: Application to Green's functions and interacting topological phases
• Anomalous fractional quantum Hall effect and multi-valued Hamiltonians
• Transfer learning from Hermitian to non-Hermitian quantum many-body physics
• Pairing instabilities in topological insulator quantum wells
• Topologically protected flatness in chiral moiré heterostructures
• Fractional Chern insulator states in an isolated flat band of zero Chern number
• Fractional quantum anomalous Hall phase for Raman superarray of Rydberg atoms
• Non-Equilibrium Charge Dynamics in Majorana-Josephson Devices
• Spin separation due to an inherent spontaneous symmetry breaking of the fractional topological insulator
• Impurity-induced thermal crossover in fractional Chern insulators
• Fractionalized Spin Excitations in the Edge Ferromagnetic State of Graphene: Signature of the Ferromagnetic Luttinger Liquid
• Continuous Transition between Bosonic Fractional Chern Insulator and Superfluid
• Constructing vortex functions and basis states of Chern insulators: ideal condition, inequality from index theorem, and coherent-like states on von Neumann lattice
• Fractional Chern insulator candidate in twisted bilayer checkboard lattice
• RKKY plateau in zero- and one-dimensional triangular Kagome lattice models
• Analytical study of quasi-one dimensional flat band networks and slow light analogue
• Entropy-Enhanced Fractional Quantum Anomalous Hall Effect
• Selective Kondo strong coupling in magnetic impurity flat-band lattices
• Electrically tunable high-Chern-number quasiflat bands in twisted antiferromagnetic topological insulators
• The Weyl-Mott point: topological and non-Fermi liquid behavior from an isolated Green's function zero
• Strong Correlation, Bloch Bundle Topology and Spinless Haldane-Hubbard Model
• Multi-Band Exact Diagonalization and an Iteration Approach to Hunt For Fractional Chern Insulators in Rhombohedral Multilayer Graphene
• Quantum anomalous Hall effects and emergent $\mathrm{SU}(2)$ Hall ferromagnets at fractional filling of helical trilayer graphene
• Non-Abelian chiral spin liquid on spin-1 kagome lattice: truncation of an exact Hamiltonian and numerical optimization
• van Hove Singularity-Driven Emergence of Multiple Flat Bands in Kagome Superconductors
• Type-II Dirac Nodal Lines in double-kagome-layered CsV${}_8$Sb${}_{12}$
• Quantum Phases in Twisted Homobilayer Transition Metal Dichalcogenides
• Giant Self Spin-Valve Effect in the Kagome Helimagnet
• Heat-bath approach to anomalous thermal transport: effects of inelastic scattering
• Quantum Anomalous Hall Effect in $d$-Electron Kagome Systems: Chern Insulating States from Transverse Spin-Orbit Coupling
• Intertwined Magnetism and Superconductivity in Isolated Correlated Flat Bands
• Viewpoint: Toward Fractional Quantum Hall physics with cold atoms
• Coexisting Kagome and Heavy Fermion Flat Bands in YbCr${}_6$Ge${}_6$
• Interaction-driven transition between the Wigner crystal and the fractional Chern insulator in topological flat bands
• Continuum limit of lattice quasielectron wavefunctions
• Topological Current in Fractional Chern Insulators
• Flat Bands in Three-dimensional Lattice Models with Non-trivial Hopf Index
• Ideal topological flat bands in chiral symmetric moiré systems from non-holomorphic functions
• Optimal control for preparing fractional quantum Hall states in optical lattices
• Interband excitations in the 1D limit of two-band fractional Chern insulators
• Stability of quasi-particle creation and multiband geometry in fractional Chern insulators under magnetic fields
• Flat band effects on the ground-state BCS-BEC crossover in atomic Fermi gases in a quasi-two-dimensional Lieb lattice
• Identifying Instabilities with Quantum Geometry in Flat Band Systems
• Holographic Lieb lattice and gapping its Dirac band
• Simple realization of a fragile topological lattice with quasi flat-bands in a microcavity array
• Reordering Fractional Chern Insulators into Stripes of Fractional Charges with Long-Range Interactions
• Apparent inconsistency between Streda formula and Hall conductivity in reentrant integer quantum anomalous Hall effect in twisted MoTe${}_2$
• Quantum-geometric dipole: a topological boost to flavor ferromagnetism in flat bands
• Symmetry-based classification of exact flat bands in single and bilayer moiré systems
• Crystalline invariants of fractional Chern insulators
• Flat-band ferromagnetism in a correlated topological insulator on a honeycomb lattice
• Wavefunction Vortex Attachment via Matrix Products: Application to Atomic Fermi Gases in Flat Spin-Orbit Bands
• Integer quantum Hall effect of two-component hardcore bosons in a topological triangular lattice
• Candidate for a Fractional Topological Insulator in Twisted MoTe2
• Visualizing Electronic Structure of Twisted Bilayer MoTe2 in Devices
• Interorbital Antisymmetric Hopping Generated Flat Bands on Kagome and Pyrochlore Lattices
• Spinless and spinful charge excitations in moiré Fractional Chern Insulators
• Topological Triviality of Flat Hamiltonians
• Chiral Gravitons on the Lattice
• Anomalous magnetic transport and extra quantum oscillation in semi-metallic photon-like fermion gas
• Ideal quantum geometry of the surface states of rhombohedral graphite and its effects on the surface superconductivity
• Variational wavefunctions for fractional topological insulators
• Impurities and Landau level mixing in a fractional quantum Hall state in a flatband lattice model
• Twisted Type-II Rashba Homobilayer: A Platform for Tunable Topological Flat Bands
• Multilayer Haldane model
• Tunable Flux Vortices in 2D Dirac Superconductors
• Non-Abelian geometric potentials and spin-orbit coupling for periodically driven systems
• Interaction-driven plateau transition between integer and fractional Chern Insulators
• Boundary Flat Bands with Topological Spin Textures Protected by Sub-chiral Symmetry
• Emergence of charge density wave and superconducting phase transitions through Lorentz-invariant interactions in the Haldane-Hubbard model
• Numerical identification and gapped boundaries of abelian fermionic topological order
• Few-particle dynamics of fractional quantum Hall lattice models
• On topological aspects of 2D graphene like materials
• Chern-Selective multi-valley Flat Bands in Twisted Mono-Bilayer and Mono-Trilayer MoTe${}_2$
• Chiral spin liquid from magnetic Wannier states
• Dynamics of quasiholes and quasiparticles at the edges of small lattices
• Robust Orbital-Selective Flat Bands in Transition-Metal Oxychlorides
• Unconventional Fractional Phases in Multi-Band Vortexable Systems
• Bosonic Halperin fractional quantum Hall effect at filling factor $\nu =2/5$
• Optical signatures of -1/3 fractional quantum anomalous Hall state in twisted MoTe2
• Spinor ice correlation in flat-band electronic states on kagome and pyrochlore lattices with spin-orbit coupling
• Realization of Flat Band with Possible Nontrivial Topology in Electronic Kagome Lattice
• Probing Quantum Anomalous Hall States in Twisted Bilayer WSe2 via Attractive Polaron Spectroscopy
• Extended Haldane Model in The Dice Lattice: Multiple Flat-Band-Induced topological Transitions Revealed
• Kerr and Faraday rotations in topological flat and dispersive band structures
• Dichotomy of flat bands in the van der Waals ferromagnet Fe${}_5$GeTe${}_2$
• Nanoscale Modulation of Flat Bands via Controllable Charge-Density-Waves Defects in 4Hb-TaS2
• Quantum phase diagram and non-abelian Moore-Read state in double twisted bilayer graphene
• Sensing the binding and unbinding of anyons at impurities
• How quantum fluctuations freeze a classical liquid and then melt it into a topological one
• Mott Insulator-Superfluid Transition in a Generalized Bose-Hubbard Model with Topologically Non-trivial Flat-Band
• Quantum-vacuum-protected topological edge polaritons
• Inter-species topological phases via a dynamical gauge field
• Fractionally Quantized Electric Polarization and Discrete Shift of Crystalline Fractional Chern Insulators
• Non-Abelian line graph: A generalized approach to flat bands
• On the geometrical description of fractional Chern insulators based on static structure factor calculations
• Topological Order in Neural Wavefunctions
• Identifying Anyonic Topological Order in Fractional Quantum Anomalous Hall Systems
• Symmetry-Based Real-Space Framework for Realizing Flat Bands and Unveiling Nodal-Line Touchings
• Exciton-Anyon Binding in Fractional Chern Insulators: Spectral Fingerprints
• Flux-induced strengthening of the magnetic couplings in a flat-band diamond chain
• Orbital Description of Landau Levels
• Insulating charge transfer ferromagnetism
• Intervalley Band Crossing and Transition of Fractional Chern Insulators in Floquet Twisted Bilayer MoTe${}_2$
• Floquet-Engineered Valley-Topotronics in Kekulé-Y Bond Textured Graphene Superlattice
• Continuous transition and gapless roton inside fractional quantum anomalous Hall states
• Doping-induced Quantum Anomalous Hall Crystals and Topological Domain Walls
• Fractional Wannier Orbitals and Tight-Binding Gauge Fields for Kitaev Honeycomb Superlattices with Flat Majorana Bands
• Ferromagnetic--nematic order and strongly correlated phases of fermions in optical flux lattices
• Defect-induced edge ferromagnetism and fractional spin excitations of the SU(4) $\pi$-flux Hubbard model on honeycomb lattice
• Probing Non-Fermi-Liquid Behaviour of Composite Fermi Liquid via Efficient Thermal Simulations
• RKKY couplings in the Lieb lattice: flat-band induced frustration
• A theorem regarding families of topologically non-trivial fermionic systems
• General Many-Body Perturbation Framework for Moiré Systems
• Theory of Hofstadter Superconductors
• Robustness of real-space topology in moiré systems
• Adiabatic Path from Fractional Chern Insulators to the Tao-Thouless State
• Proximity-induced flat bands and topological properties in a decorated diamond chain
• Higher Chern bands in helical homotrilayer transition metal dichalcogenides
• Topological Order Without Band Topology in Moiré Graphene
• Tuning between a fractional topological insulator and competing phases at ${\nu }_{\mathrm{T}}=2/3$
• Abelian and non-Abelian fractionalized states in twisted MoTe${}_2$: A generalized Landau-level theory
• Designer quantum matter in van der Waals heterostructures
• Singular flat bands in three dimensions: Landau level spreading, quantum geometry, and Weyl reconstruction
• Topological two-body interaction obstructing trivial ground states: an indicator of fractional Chern insulators
• Topological electron and phonon flat bands in novel kagome superconductor XPd5 (X=Ca, Sr, Ba)
• Floquet topological systems with flat bands: Edge modes, Berry curvature, and Orbital magnetization
• Quantum geometric magnetic monopole and two-phase superconductivity in CeRh${}_2$As${}_2$
• Refining Heuristic Predictors of Fractional Chern Insulators using Machine Learning
• Gaplessness from disorder and quantum geometry in gapped superconductors
• Quantized Transport of $\nu =2/3$ Fractional Quantum Hall Edge with Disordered Superconducting Proximity
• Topological invariant of multilayer Haldane models with irregular stackings
• Relaxation toward an Ideal Chern Band through Coupling to a Markovian Bath
• Machine Learning Study on the Flat-Band States Constructed by Molecular-Orbital Representation with Randomness
• Compact modes in quasi one dimensional coupled magnetic oscillators
• Flux attachment theory of fractional excitonic insulators
• Invisible flat bands on a topological chiral edge
• Evolution of the optimal trial wave function with interactions in fractional Chern insulators
• Exact Mappings in Condensed Matter Physics
• Flat bands and band touching from real-space topology in hyperbolic lattices
• High-pressure modulation of breathing kagome lattice: Cascade of Lifshitz transitions and evolution of the electronic structure
• Chiral Graviton Modes in Fermionic Fractional Chern Insulators
• Anyon Dispersion in Aharonov-Casher Bands and Implications for Twisted MoTe${}_2$
• Stripe antiferromagnetism and chiral superconductivity in tWSe${}_2$