Chern Numbers in Discretized Brillouin Zone: Efficient Method of Computing (Spin) Hall Conductances

Abstract

We present a manifestly gauge-invariant description of Chern numbers associated with the Berry connection defined on a discretized Brillouin zone. It provides an efficient method of computing (spin) Hall conductances without specifying gauge-fixing conditions. We demonstrate that it correctly reproduces quantized Hall conductances even on a coarsely discretized Brillouin zone. A gauge-dependent integer-valued field, which plays a key role in the formulation, is evaluated in several gauges. An extension to the non-Abelian Berry connection is also given.

4 pages, 3 figures, to appear in JPSJ

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• A Characterization of Topological Insulators: Chern Numbers for a Ground State Multiplet
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• Exchange interaction, disorder, and stacking faults in rhombohedral graphene multilayers
• Topological States with Broken Translational and Time-Reversal Symmetries in a Honeycomb-Triangular Lattice
• Trigonal Warping, Satellite Dirac Points and Multiple Field Tuned Topological Transitions in Twisted Double Bilayer Graphene
• Insights on magnon topology and valley-polarization in 2D bilayer quantum magnets
• Engineering topological phase transition and Aharonov-Bohm caging in a flux-staggered lattice
• Topological Phase Transitions and a Two-Dimensional Weyl Superconductor in a Half-Metal/Superconductor Heterostructure
• Tuning the topological insulator states of artificial graphene
• Dynamical competition between Quantum Hall and Quantum Spin Hall effects
• High-Chern number phase in the topological insulator multilayer structures
• Spinon pairing induced by chiral in-plane exchange and the stabilization of odd-spin Chern number spin liquid in twisted ${\mathrm{MoTe}}_2$
• Adatom engineering magnetic order in superconductors: Applications to altermagnetic superconductivity
• Colloquium: Synthetic quantum matter in non-standard geometries
• Topological linear response of hyperbolic Chern insulators
• Topological flat bands in a family of multilayer graphene moiré lattices
• Emergent topological quantum orbits in the charge density wave phase of kagome metal CsV${}_3$Sb${}_5$
• Piezoelectric ferromagnetism in Janus monolayer YBrI: a first-principle prediction
• Competition of First-Order and Second-Order Topology on the Honeycomb Lattice
• Doubled Moiré Flat Bands in Double-twisted Few Layer Graphite
• Theory of edge states based on the hermiticity of tight-binding Hamiltonian operators
• Dimension transcendence and anomalous charge transport in magnets with moving multiple-$Q$ spin textures
• Topological Magnon Insulator with a Kekule Bond Modulation
• Competing orders in the Hofstadter t-J model
• Topological defects in Floquet systems: Anomalous chiral modes and topological invariant
• Topological sound in active-liquid metamaterials
• Chiral-Flux-Phase-Based Topological Superconductivity in Kagome Systems with Mixed Edge Chiralities
• Network model for periodically strained graphene
• Magnetic vortex liquid and anomalous thermal Hall conductivity in frustrated magnets with bond-dependent interactions
• Magnonic Floquet Hofstadter Butterfly
• Photoinduced Floquet topological magnons in Kitaev magnets
• Field-controlled quantum anomalous Hall effect in electron-doped CrSiTe${}_3$ monolayer: a first-principles prediction
• Gapped nodal planes drive a large topological Nernst effect in a chiral lattice antiferromagnet
• Moiré flat Chern bands and correlated quantum anomalous Hall states generated by spin-orbit couplings in twisted homobilayer MoS${}_2$
• Laser-induced topological $s$-wave superconductivity in bilayer transition metal dichalcogenides
• Exciton-Polariton Topological Insulator with an Array of Magnetic Dots
• Optical imprinting of superlattices in two-dimensional materials
• Floquet topological transitions in extended Kane-Mele models with disorder
• Spontaneous symmetry breaking of an interacting Chern insulator on a topological square lattice
• Theory of intervalley-coherent AFM order and topological superconductivity in tWSe${}_2$
• Symmetry protected weak topological phases in a superlattice
• Instability and topological robustness of Weyl semimetals against Coulomb interaction
• Parity-mixing superconducting phase in the Rashba-Hubbard model and its topological properties from dynamical mean field theory
• Quantized Hall drift in a frequency-encoded photonic Chern insulator
• Universal suppression of superfluid weight by disorder independent of quantum geometry and band dispersion
• Altermagnetism in Two Dimensional Ca${}_2$RuO${}_4$ Perovskite
• Berry phase in lattice QCD
• Cataloging topological phases of $N$-stacked Su-Schrieffer-Heeger chains by a systematic breaking of symmetries
• Sizable suppression of magnon Hall effect by magnon damping in Cr${}_2$Ge${}_2$Te${}_6$
• Efficient computation of the $W_3$ topological invariant and application to Floquet-Bloch systems
• Correlation-driven phase transition in a Chern insulator
• Topological Green function of interacting systems
• Emergence of photo-induced multiple topological phases on square octagon lattice
• Floquet theory of photoinduced topological phase transitions in the organic salt $\alpha$-(BEDT-TTF)${}_2$I${}_3$ irradiated with elliptically polarized light
• Interaction induced topological Bogoliubov excitations in a spin-orbit coupled Bose-Einstein condensate
• Dimensional crossover of the integer quantum Hall plateau transition and disordered topological pumping
• Superconductivity of repulsive spinless fermions with sublattice potentials
• Multitude of Topological Phase Transitions in Bipartite Dice and Lieb Lattices with Interacting Electrons and Rashba Coupling
• Topological Edge and Corner States in Biphenylene Network
• Polariton vortex Chern insulator
• Topological d-wave superconductivity in two dimensions
• Bulk-edge correspondence in two-dimensional topological semimetals: A transfer matrix study of antichiral edge modes
• Quasidisorder Induced Topology
• Intra-unit-cell singlet pairing mediated by altermagnetic fluctuations
• Calculations of Chern number: equivalence of real-space and twisted-boundary-condition formulae
• Weyl singularities in polaritonic multi-terminal Josephson junctions
• Robust measurement of wave function topology on NISQ quantum computers
• Topological Nematic Phase Transition in Kitaev Magnets Under Applied Magnetic Fields
• Gain/loss effects on spin-orbit coupled ultracold atoms in two-dimensional optical lattices
• Valley-polarized domain wall magnons in 2D ferromagnetic bilayers
• Topological phase transition induced by band structure modulation in a Chern insulator
• Experimental demonstration of adversarial examples in learning topological phases
• Peierls-Nabarro barrier effect in nonlinear Floquet topological insulators
• Chiral phase transition and thermal Hall effect in an anisotropic spin model on the kagome lattice
• Fundamental laws of chiral band crossings: local constraints, global constraints, and topological phase diagrams
• Phase diagram of superconductivity in the integer quantum Hall regime
• Chern number and orbital magnetization in ribbons, polymers, and layered materials
• Kagomé network of chiral miniband-edge states in double-aligned graphene-hexagonal boron nitride structures
• Unravelling the edge spectra of non-Hermitian Chern insulators
• Topological states in the Kronig-Penney model with arbitrary scattering potentials
• Berry Curvature of interacting bosons in a honeycomb lattice
• Spin-orbit coupling in the kagome lattice with flux and time-reversal symmetry
• Nematic versus Kekulé phases in twisted bilayer graphene under hydrostatic pressure
• Chiral Broken Symmetry Descendants of the Kagomé Lattice Chiral Spin Liquid
• Anomalous Hall effect in antiferromagnetic/non-magnetic interfaces
• Chiral spin liquids with crystalline ${\mathbb{Z}}_2$ gauge order in a three-dimensional Kitaev model
• Predicted Photo-Induced Topological Phases in Organic Salt $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Importance of magnetic shape anisotropy in determining magnetic and electronic properties of monolayer $\mathrm{VS}{\mathrm{i}}_2{\mathrm{P}}_4$
• Gauge-Invariant Measure of the Magnon Orbital Angular Momentum
• A dark state of Chern bands: Designing flat bands with higher Chern number
• Berry Flux Diagonalization: Application to Electric Polarization
• Altermagnetism Induced Topological Phase Transitions in Kane-Mele Model
• Sign Reversal of the Hall Response in a Crystalline Superconductor
• Non-linear magnon transport in a bilayer van der Waals antiferromagnets
• Fractional Topological States in Quantum Spin Chains with Periodical Modulation
• Topological phases of lattice bosons with a dynamical gauge field
• Statistically induced topological phase transitions in a one-dimensional superlattice anyon-Hubbard model
• Photoinduced anomalous Hall effect in the interacting Haldane model: targeting topological states with pump pulses
• A Self-Adaptive First-Principles Approach for Magnetic Excited States
• Topological phase transition in commensurate multi-frequency Floquet Su-Schrieffer-Heeger model
• Fragility of ${\mathcal{Z}}_2$ topological invariant characterizing triplet excitations in a bilayer kagome magnet
• Detecting topological phases in the square-octagon lattice with statistical methods
• Anomalous criticality in the quantum Hall transition at $n=0$ Landau level of graphene with chiral-symmetric disorders
• Higher Chern numbers in multilayer ($\mathcal{N}\ge 2$) Lieb lattices: Topological transitions and quadratic band crossing lines
• A hybrid quantum algorithm to detect conical intersections
• Statistical learning of engineered topological phases in the kagome superlattice of AV${}_3$Sb${}_5$
• Intertwined Order in Fractional Chern Insulators from Finite-Momentum Pairing of Composite Fermions
• Non-Hermitian Haldane-Hubbard model: Effective description of one- and two-body dissipation
• Competition of trivial and topological phases in patterned graphene based heterostructures
• Topological Anderson insulating phases in the interacting Haldane model
• Symmetry-protected Spinful Magnetic Weyl Nodal Loops and Multi-Weyl Nodes in $5d^n$ Cubic Double Perovskites $(n=1,2)$
• Topological skyrmion phases of matter
• Topological Mott transition in a Weyl-Hubbard model with dynamical mean-field theory
• From quantum anomalous Hall phases to topological metals in interacting decorated honeycomb lattices
• Intrinsic topological magnons in arrays of magnetic dipoles
• Intrinsic Magnon Nernst Effects in Pyrochlore Iridate Thin Films
• Driven Hofstadter Butterflies and Related Topological Invariants
• Topological order versus many-body localization in periodically modulated spin chains
• Plateau transitions of spin pump and bulk-edge correspondence
• Probing Half-odd Topological Number with Cold Atoms in a Non-Abelian Optical Lattice
• Bosonic fractional quantum Hall conductance in shaken honeycomb optical lattices without flat bands
• Observation of dynamical topology in 1D
• $SU(3)$ Topological Insulators in the Honeycomb Lattice
• Chiral phonons induced from spin dynamics via magnetoelastic anisotropy
• A semiclassical treatment of spinor topological effects in driven, inhomogeneous insulators under external electromagnetic fields
• Wave-packet propagation in a finite topological insulator and the spectral localizer index
• 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
• Topological pump and bulk-edge-correspondence in an extended Bose-Hubbard model
• Delocalization of edge states in topological phases
• Hubbard model on the kagome lattice with time-reversal invariant flux and spin-orbit coupling
• Sequential quantum phase transitions in $J_1$-$J_2$ Heisenberg chains with integer spins ($S>1$): Quantized Berry phase and valence-bond solids
• Exchange striction induced thermal Hall effect in van der Waals antiferromagnet MnPS${}_3$
• Topological states and interplay between spin-orbit and Zeeman interactions in a spinful Su-Schrieffer-Heeger nanowire
• Impact of magnetic dopants on magnetic and topological phases in magnetic topological insulators
• Topologically non-trivial Hofstadter bands on the kagome lattice
• Phase transitions in the Haldane-Hubbard model with ionic potentials
• Moiré exciton condensate: nonlinear Dirac point, broken-symmetry Bloch waves and unusual optical selection rules
• Higher-order topological insulator in a modified Haldane-Hubbard model
• Bulk topological proximity effect in multilayer systems
• Multiorder topological superfluid phase transitions in a two-dimensional optical superlattice
• Multipolar edge states in the breathing kagome model
• Anomalous Floquet Phases. A resonance phenomena
• Many-Body Chern Numbers of $\nu =1/3$ and $1/2$ States on Various Lattices
• Holstein polaron in a pseudospin-$1$ quantum spin Hall system: first and second order topological phase transitions
• Discrete Approximation of Topologically Protected Modes in Magneto-Optical Media
• Spinon quantum spin Hall state in the kagome antiferromagnet with a Dzyaloshinskii-Moriya interaction
• Fractionally quantized Berry's phase in an anisotropic magnet on the Kagome lattice
• Magnetism and topological phases in an interacting decorated honeycomb lattice with spin-orbit coupling
• Magnetic chains on a triplet superconductor
• Bilayer Haldane system: Topological characterization and adiabatic passages connecting Chern phases
• Interplay of Floquet Lifshitz transitions and topological transitions in bilayer Dirac materials
• Topological phase diagrams of in-plane field polarized Kitaev magnets
• Multitude of exceptional points in van der Waals magnets
• Electric field induced thermal Hall effect of triplons in the quantum dimer magnets $X$CuCl${}_3$ ($X=$ Tl, K)
• Interaction-Driven Topological Insulator in Fermionic Cold Atoms on an Optical Lattice: A Design with a Density Functional Formalism
• Tunable boson-assisted finite-range interaction and engineering Majorana corner modes in optical lattices
• Zero-frequency chiral magnonic edge states protected by non-equilibrium topology
• Levitation and percolation in quantum Hall systems with correlated disorder
• Quantum computing topological invariants of two-dimensional quantum matter
• Floquet engineering flat bands for bosonic fractional quantum Hall in small lattices
• Topological magnon in exchange frustration driven incommensurate spin spiral of a kagome lattice YMn${}_6$Sn${}_6$
• Tunable skyrmion crystals and topological quantum oscillations in magnetic metals
• Topological phases of higher Chern numbers in Kitaev-Heisenberg ferromagnet with further-neighbor interactions
• Competing topological phases in a non-Hermitian time-reversal symmetry-broken Bernevig-Hughes-Zhang model
• Defect bulk-boundary correspondence of topological skyrmion phases of matter
• Quantum Monte Carlo simulation of topological phase transitions
• Landau level broadening in graphene with long-range disorder -- Robustness of the n=0 level
• Topological magnon-polarons in honeycomb antiferromagnets with spin-flop transition
• Optical Control of Slow Topological Electrons in Moiré Systems
• Entanglement Chern number for three-dimensional topological insulators: Characterization by Weyl points of entanglement Hamiltonians
• Topological study of a Bogoliubov-de Gennes system of pseudo spin-$1/2$ bosons with conserved magnetization in a honeycomb lattice
• Partial flux ordering and thermal Majorana metals in (higher-order) spin liquids
• Higher-Order Van Hove Singularities in Kagome Topological Bands
• Universal phase diagram of topological superconductors subjected to magnetic flux
• Universal Wilson Loop Bound of Quantum Geometry
• Electric-field-induced Z2 topological phase transition in strained single bilayer Bi(111)
• Topological Bogoliubov quasiparticles from Bose-Einstein condensate in a flat band system
• Synthetic Gauge Fields for Lattices with Multi-Orbital Unit Cells: Routes towards a $\pi$-flux Dice Lattice with Flat Bands
• Berezinskii-Kosterlitz-Thouless localization-localization transitions in disordered two-dimensional quantized quadrupole insulators
• Dimerization, Trimerization and Quantum pumping
• Quantum circuit for measuring an operator's generalized expectation values and its applications to non-Hermitian winding numbers
• Pristine Mott Insulator from an Exactly Solvable Spin-1/2 Kitaev Model
• Manipulating Z2 and Chern topological phases in a single material using periodically driving fields
• Local and energy-resolved topological invariants for Floquet systems
• Topological charges of periodically kicked molecules
• Topological transitions to Weyl states in bulk Bi${}_2$Se${}_3$: Effect of hydrostatic pressure and doping
• Adiabatic Heuristic Principle on a Torus and Generalized Streda Formula
• Collective optical properties of moiré excitons
• Two-Dimensional Thouless Pumping of Ultracold Fermions in Obliquely Introduced Optical Superlattice
• Strain Engineering of Photo-induced Topological Phases in 2D Ferromagnets
• Interfacial-state coupling induced topological phase transitions in SnTe (110) thin film
• Tuning topological superconductivity within the $t$-$J$-$U$ model of twisted bilayer cuprates
• Dirac Fermions and Topological Phases in Magnetic Topological Insulator Films
• Topological Description of (Spin) Hall Conductances on Brillouin Zone Lattices : Quantum Phase Transitions and Topological Changes
• Real-time dynamics of the photoinduced topological state in organic conductor $\alpha$-(BEDT-TTF)${}_2$I${}_3$ under continuous-wave and pulse excitations
• Three-dimensional valley-contrasting sound
• Software implementation for calculating the Chern and $Z_2$ topological invariants with WIEN2k all-electron density functional package
• Janus monolayer ScXY (X$\ne$Y=Cl, Br and I) for piezoelectric and valleytronic application: a first-principle prediction
• Topological phases in the Fermi-Hofstadter-Hubbard model on hybrid-space ladders
• Singular flat bands in the modified Haldane-Dice model
• Chiral topological superconducting state with Chern number $\mathcal{C}=-2$ in Pb${}_3$Bi/Ge(111)
• Intertwined Space-Time Symmetry, Orbital Magnetism and Dynamical Berry Curvature in a Circularly Shaken Optical Lattice
• Higher Berry curvature from matrix product states
• Tailoring Metal Insulator Transitions $\&$ Band Topology via Off-resonant Periodic Drive in an Interacting Triangular Lattice
• Band structure and band topology in twisted homotrilayer transition metal dichalcogenides
• Layered Quantum Hall Insulators with Ultracold Atoms
• Size and host-medium effects on topologically protected surface states in bi-anisotropic 3D optical waveguides
• Kinetic Ferromagnetism and Topological Magnons of the Hole-Doped Kitaev Spin Liquid
• Universal Landau-Zener regimes in dynamical topological phase transitions
• Anomalous Hall signatures of nonsymmorphic nodal lines in doped chromium chalcospinel CuCr${}_2$Se${}_4$
• Intrinsic Anomalous Hall Effect in Magneto-Chiral States
• Turning Copper Metal into Weyl Semimetal
• Chiral to helical Majorana fermion transition in a $p$-wave superconductor
• Topological Fermi-arc surface resonances in bcc iron
• Nontrivial topology and localization in the double exchange model with possible applications to perovskite manganites
• Universal non-analytic behavior of the non-equilibrium Hall conductance in Floquet topological insulators
• Topological properties of a class of generalized Su-Schrieffer-Heeger networks: chains and meshes
• Topological two-body bands in a multiband Hubbard model
• High Chern numbers and topological flat bands in high-field polarized Kitaev magnets on the star lattice
• Emergent flat band lattices in spatially periodic magnetic fields
• Computing the ${\mathbb{Z}}_2$ Invariant in Two-Dimensional Strongly-Correlated Systems
• Topological Phases in Nodeless Tetragonal Superconductors
• Continuous phase transitions between fractional quantum Hall states and symmetry-protected topological states
• Designing Moire Patterns by Shearing
• Majorana modes in striped two-dimensional inhomogeneous topological superconductors
• Band structure and topological phases of Pb${}_{1-x-y}$Sn${}_x$Mn${}_y$Te by ab initio calculations
• Chern number spectrum of ultra-cold fermions in optical lattices tuned independently via artificial magnetic, Zeeman and spin-orbit fields
• Fractional transconductance via non-adiabatic topological Cooper pair pumping
• Modulating dichroism and optical conductivity in bilayer graphene under intense electromagnetic field irradiation
• Emergent magnetic order in the antiferromagnetic Kitaev model with a [111] field
• Quantum spin Hall phase in multilayer graphene
• Topological spin models in Rydberg lattices
• Supercurrent-Induced Weyl Superconductivity
• Spin Stiffness and Domain Walls in Dirac-Electron Mediated Magnets
• Predicted novel type of photoinduced topological phase transition accompanied by collision and collapse of Dirac-cone pair in organic salt $\alpha$-(BEDT-TTF)${}_2$I${}_3$
• Current-induced phonon Hall effect
• Exotic topological point and line nodes in the plaquette excitations of a frustrated Heisenberg antiferromagnet on the honeycomb lattice
• Self-Organized Bosonic Domain Walls
• Topological superconductivity in an ultrathin, magnetically-doped topological insulator proximity coupled to a conventional superconductor
• Thermoelectric effect in kagome lattice enhanced at van Hove singularities
• Winding numbers of nodal points in Fe-based superconductors
• Eigenspectrum, Chern Numbers and Phase Diagrams of Ultracold Color-orbit Coupled SU(3) Fermions in Optical Lattices
• Faithful Simulation and Detection of Quantum Spin Hall Effect on Superconducting Circuits
• Entanglement Chern Number of the Kane-Mele Model with Ferromagnetism
• Fractional Quantum Hall Effect Based on Weyl Orbits
• Weak topological insulating phases of hard-core-bosons on the honeycomb lattice
• Successive topological phase transitions in two distinct spin-flop phases on the honeycomb lattice
• Topological magnons in ferromagnetic Kitaev-Heisenberg model on CaVO lattice
• Topological pump of $SU(Q)$ quantum chain and Diophantine equation
• Impurity-induced thermal crossover in fractional Chern insulators
• Floquet engineering the Hofstadter butterfly in the square lattice and its effective Hamiltonian
• Electrostatic effects of the MnBi2Te4-superconductor hetero-structures in chiral Majorana search
• Topological properties of magnetically ordered heavy-fermion systems in the presence of mirror symmetry
• Dynamical phase transitions in the photodriven charge-ordered Dirac-electron system
• Inducing Berry Curvature Dipole in Multilayer Graphene through Inhomogeneous Interlayer Sliding
• Floquet topological phases on a honeycomb lattice using elliptically polarized light
• Topological electronic structure of twin boundaries and twinning superlattices in the SnTe material class
• Efficient algorithm to compute the Berry conductivity
• Detecting non-Abelian statistics of topological states on a chain of superconducting circuits
• Topological Transitions in a Model for Proximity Induced Superconductivity
• Chern insulating state with double-$Q$ ordering wave vectors at the Brillouin zone boundary
• Determination of Chern numbers with a phase retrieval algorithm
• Type-II topological phase transitions of topological skyrmion phases
• Streda formula for the Hofstadter-Wilson-Dirac model in two and four dimensions
• Flow of unitary matrices: Real-space winding numbers in one and three dimensions
• Chern number landscape of spin-orbit coupled chiral superconductors
• Topological magnetoelectric pump in three dimensions
• Momentum-space theory for topological magnons in 2D ferromagnetic skyrmion lattices
• Fulde-Ferrell superfluids in spinless ultracold Fermi gases
• Constructing vortex functions and basis states of Chern insulators: ideal condition, inequality from index theorem, and coherent-like states on von Neumann lattice
• Abelian and non-Abelian Berry curvatures in lattice QCD
• Emergent Edge Modes in Shifted Quasi-One-Dimensional Charge Density Waves
• Impact of Charge Density Waves on Superconductivity and Topological Properties in AV${}_3$Sb${}_5$ Kagome Superconductors
• Tight-binding theory of spin-spin interactions, Curie temperatures, and quantum Hall effects in topological (Hg,Cr)Te in comparison to non-topological (Zn,Cr)Te, and (Ga,Mn)N
• Implementing Majorana fermions in a cold-atom honeycomb lattice with textured pairings
• High-Field Expansion Approach to Kagome Antiferromagnets with Dzyaloshinskii-Moriya Interactions
• Weyl semimetallic, Néel, spiral, and vortex states in the Rashba-Hubbard model
• Topological phase in the extended Haldane-Hubbard model with sublattice-dependent repulsion
• Multipolar spin liquid in an exactly solvable model for $j_{\mathrm{eff}}=\frac{3}{2}$ moments
• Fractional Chern insulator candidate in twisted bilayer checkboard lattice
• Non-trivial Topological Phases on the Stuffed Honeycomb Lattice
• Quantum anomalous Hall effects and emergent $\mathrm{SU}(2)$ Hall ferromagnets at fractional filling of helical trilayer graphene
• Quantum Anomalous Hall Effect in $d$-Electron Kagome Systems: Chern Insulating States from Transverse Spin-Orbit Coupling
• Mode Delocalization in Disordered Photonic Chern Insulator
• Non-Hermitian ${\mathbb{Z}}_4$ skin effect protected by glide symmetry
• Chern numbers associated with the periodic Toda lattice
• Frustrated quantum spin systems in small triangular lattices studied with a numerical method
• Adiabatic charge transport in extended SSH models
• Dissipationless transport signature of topological nodal lines
• Symmetry-enforced double Weyl points, multiband quantum geometry, and singular flat bands of doping-induced states at the Fermi level
• Exploring the energy spectrum of a four-terminal Josephson junction: Towards topological Andreev band structures
• Instability of QBC systems to Topological Anderson Insulating phases
• Structure of the nearly-degenerate manifold of lattice quasiholes on a torus
• Anomalous Hall effect in the coplanar antiferromagnetic coloring-triangular lattice
• Effects of electron-electron interactions in the Yu-Shiba-Rusinov lattice model
• Direct driving of electronic and phononic degrees of freedom in a honeycomb bilayer with infrared light
• Hofstadter-Moiré Butterfly in Twisted Trilayer Graphene
• Lattice Model For The Quantum Anomalous Hall Effect in Moiré Graphene
• Tuning the Chern number and Berry curvature with spin-orbit coupling and magnetic textures
• Resonant laser excitation and time-domain imaging of chiral topological polariton edge states
• Spin-orbit coupled Hubbard skyrmions
• Optical conductivity of a topological system driven using a realistic pulse
• Upper branch thermal Hall effect in quantum paramagnets
• Many-body Chern insulator in the Kondo lattice model on a triangular lattice
• Controlling topology through targeted composite symmetry manipulation in magnetic systems
• Phase diagram of the interacting Haldane model with spin-dependent sublattice potentials
• Two-dimensional topological effect in a transmon qubit array with tunable couplings
• Dirac points merging and wandering in a model Chern insulator
• Dynamics of weakly interacting bosons in optical lattices with flux
• Topological phase diagram of the Haldane model on a Bishamon-kikko--honeycomb lattice
• Interlayer Dzyaloshinskii-Moriya interactions induced via non-linear phononics in bilayer van der Waals materials
• Band crossings in honeycomb-layered transition metal compounds
• Fractional Quantum Hall Effect in n=0 Landau Band of Graphene with Chern Number Matrix
• Mode-Shell correspondence, a unifying phase space theory in topological physics -- part II: Higher-dimensional spectral invariants
• Stability of quasi-particle creation and multiband geometry in fractional Chern insulators under magnetic fields
• Designing Topological High-Order Van Hove Singularities: Twisted Bilayer Kagomé
• Quantum-geometric dipole: a topological boost to flavor ferromagnetism in flat bands
• Experimental evidence of the topological obstruction in twisted bilayer graphene
• Emergent topology of flat bands in a twisted bilayer $\alpha$-$T_3$ lattice
• Quantum Hall Effect of Massless Dirac Fermions and Free Fermions in Hofstadter's Butterfly
• From quantum geometry to non-linear optics and gerbes: Recent advances in topological band theory
• Reentrant quantum spin Hall effect in the presence of an exchange field
• Hardcore bosonic domain walls on honeycomb lattice
• Numerical study of quantum Hall effect in two-dimensional multi-band system: single- and multi-layer graphene
• Enhanced superconductivity and various edge modes in modulated $t$-$J$ chains
• Renormalization-group-inspired neural networks for computing topological invariants
• Genuine topological Anderson insulator from impurity induced chirality reversal
• Quantum anomalous Hall conductivity in altermagnets under applied magnetic field
• Topological charge and spin pumping in a semiconductor nanowire
• Breakdown of Bulk-Radiation Correspondence in Radiative Photonic Lattices
• Interplay between topology and electron-electron interactions in the moiré MoTe${}_2$/WSe${}_2$ heterobilayer
• Topological defect-mediated corner states and higher-order bulk topology in a two-dimensional crystalline insulator
• Non-Abelian Chern band in rhombohedral graphene multilayers
• Chern numbers for the index surfaces of photonic crystals: conical refraction as a basis for topological materials
• Spin Nernst and thermal Hall effects of topological triplons in quantum dimer magnets on the maple-leaf and star lattices
• Spontaneous loop-spin current with topological characters in the Hubbard model
• Making s-wave superconductors topological with magnetic field
• Topological phases in twisted Rashba superconductors
• Topological Sensing in the Dynamics of Quantum Walks with Defects
• Interaction-driven phase transition in one dimensional mirror-symmetry protected topological insulator
• Third-order Orbital Corner State and its Realization in Acoustic Crystals
• High-throughput search for topological magnon materials
• Topology in the space-time scaling limit of quantum dynamics
• Topological phase diagram of twisted bilayer graphene as a function of the twist angle
• A spin pump characterized by entanglement Chern numbers
• Density Wave Mediated Dzyaloshinskii-Moriya Interactions
• Angular momentum of vortex-core Majorana zero modes
• Topological Majorana flat bands in the Kitaev model on a Bishamon-kikko lattice
• Inducing Quantum Phase Transitions in Non-Topological Insulators Via Atomic Control of Sub-Structural Elements
• $Z_2\times Z_2$ symmetry and $Z_4$ Berry phase of bosonic ladder
• Josephson junction arrays as a platform for topological phases of matter
• Chiral Majorana Edge Modes and Vortex Majorana Zero Modes in Superconducting Antiferromagnetic Topological Insulator
• A New Non-Abelian Topological Phase of Cold Fermi Gases in Anisotropic and Spin-Dependent Optical Lattices
• Emergent Quantum Phenomena of Noncentrosymmetric Charge-Density Wave in 1T-Transition Metal Dichalcogenides
• Berry's phase in the multimode Peierls states
• Magnetic, transport and topological properties of Co-based shandite thin films
• Fate of Quadratic Band Crossing under quasiperiodic modulation
• Chiral topological phases in designed mechanical networks
• Exciton fractional Chern insulators in moiré heterostructures
• Hall Effect for Dirac Electrons in Graphene Exposed to an Abrikosov Flux Lattice
• Chern numbers for the two-body Hofstadter-Hubbard butterfly
• Dispersive nodal fermions along grain boundaries in Floquet topological crystals
• Mean-field Modelling of Moiré Materials: A User's Guide with Selected Applications to Twisted Bilayer Graphene
• Topological Properties of Single-Particle States Decaying into a Continuum due to Interaction
• Linear magneto-conductivity as a DC probe of time-reversal symmetry breaking
• Photo-induced modification and relaxation dynamics of Weyl-semimetals
• Engineering of Chern number of topological bands in bilayer graphene by in-plane magnetic field and electrical bias
• Topological $d$-wave Superconductivity and Nodal Line-Arc Intersections in Weyl Semimetals
• Phase diagrams of superconducting topological surface states
• Hybrid method of plane-wave and cylindrical-wave expansions for distributed Bragg-reflector pillars: formalism and its application to topological photonics
• Adiabatic charge transport through non-Bloch bands
• Equivariant Parameter Families of Spin Chains: A Discrete MPS Formulation
• Berry Curvature of Low-Energy Excitons in Rhombohedral Graphene
• Pairing around a Single Dirac Point: A Unifying View of Kohn-Luttinger Superconductivity in Chern Bands, Quarter Metals, and Topological Surface States
• Nonlinear compact localized modes in flux-dressed octagonal-diamond photonic lattice
• Symmetry-adapted models for multifold fermions with spin-orbit coupling
• Temporal Oscillation of Conductances in Quantum Hall Effect of Bloch Electrons
• Chern-Selective multi-valley Flat Bands in Twisted Mono-Bilayer and Mono-Trilayer MoTe${}_2$
• Gradient flow and Bogomolny bounds for quantum metric actions
• Real-space representation of the second Chern number
• Floquet-Engineered Chern Insulator in two-dimensional $d_{x^2-y^2}$-Wave Altermagnets
• Quantum phase diagram and non-abelian Moore-Read state in double twisted bilayer graphene
• Magnetic doping-induced second-order and first-order topological phase transition inthe photonic alloy
• Topological spin-up triplet excitonic condensation in two-dimensional electron-hole systems
• Emergent Weyl-like points in periodically modulated systems
• Wilson Loop and Topological Properties in 3D Woodpile Photonic Crystal
• Topological phase transition and its stability against an applied magnetic field in a class of low dimensional decorated lattices
• Effective K valley Hamiltonian for TMD bilayers under pressure and application to twisted bilayers with pressure-induced topological phase transitions
• Network model for magnetic higher-order topological phases
• TopologicalNumbers.jl: A Julia package for topological number computation
• Topological states in chiral electronic chains
• Time-dependent Gutzwiller simulation of Floquet topological superconductivity
• Fermionic atoms in a spin-dependent optical lattice potential: topological insulators with broken time-reversal symmetry
• Flat bands and topological phase transition in entangled Su-Schrieffer-Heeger chains
• Bosonic Weyl excitations induced by $p$-orbital interactions in a cubic optical lattice
• Photonic topological Anderson insulator in a two-dimensional atomic lattice
• Magnon bands in pyrochlore slabs with Heisenberg exchange and anisotropies
• Electronic Manipulation of Magnon Topology by Chirality Injection from Boundaries
• Universal Chern number statistics in random matrix fields
• First Principles Prediction of Topological Phases in Thin Films of Pyrochlore Iridates
• Quantum Hall Effect without Chern Bands
• Projected branes as platforms for crystalline, superconducting, and higher-order topological phases
• High Chern number phase in topological insulator multilayer structures: a Dirac cone model study
• Diophantine equation for the Rice-Mele model: Topological aspect of filling numbers and associated spatial pump
• Exotic Topological Phenomena in Chiral Superconducting States on Doped Quantum Spin Hall Insulators with Honeycomb Lattices
• Topological edge states in dipolar zig-zag stripes
• Evolution of topological end states in the one-dimensional Kondo-Heisenberg model with site modulation
• Numerical calculation of the $k$-space second Chern number in four dimensions
• Floquet topological phases with high Chern numbers in a periodically driven extended Su-Schrieffer-Heeger model
• Crossover from Integer to Fractional Quantum Hall Effect
• Possible topological phases in quantum anomalous Hall insulator/unconventional superconductor hybrid systems
• Disorder effects in two-dimensional flat-band system with next-nearest-neighbor hopping
• Theory of Hofstadter Superconductors
• Effects of dilution in a 2D topological magnon insulator
• Evolution of the Berry curvature dipole in uniaxially strained bilayer graphene
• Emergent topological properties in spatially modulated sub-wavelength barrier lattices
• Chiral topological superconductivity in twisted bilayer and double bilayer graphene
• Multiterminal Josephson junctions with tunable topological properties
• Topological transition induced by selective random defects on a honeycomb lattice
• Relaxation toward an Ideal Chern Band through Coupling to a Markovian Bath
• Topological phases of monolayer and bilayer depleted Lieb lattices
• Decision making by Berry's flux
• Floquet engineering and non-equilibrium topological maps in twisted trilayer graphene
• Semiconductor Meta-Graphene and Valleytronics
• Giant and robust Josephson diode effect in multiband topological nanowires
• Topological superfluid of spinless Fermi gases in p-band honeycomb optical lattices with on-site rotation
• Topological excitations in quasi two-dimensional quantum magnets with weak interlayer interactions
• Topological Magnon-Plasmon Hybrids
• Tri-component-pairing chiral superconductivity on the honeycomb lattice with mixed $s$- and $d$-wave symmetries
• Reflection-Symmetry Protected Antiferromagnetic Topological Insulator in Three-Dimensional Heavy-Fermion Systems
• Relaxation and Its Effects on Electronic Structure in Twisted Systems: An Analytical Perspective
• Pressure-Tunable Generalized Wigner Crystal and Fractional Chern Insulator in twisted MoTe${}_2$
• Topological energy pumping in a quasi-periodically driven four-level system
• Dynamics of transport by helical edge states
• Proximity-induced flat bands and topological properties in a decorated diamond chain
• Topological control of the nonlinear-optical response of hybrid quantum systems
• Berry: A code for the differentiation of Bloch wavefunctions from DFT calculations
• Two dimensional sub-wavelength topological dark state lattices
• Light induced transitions of valley Chern numbers and flat bands in a non-twisted moire graphene-hexagonal boron nitride superlattice
• Tunable multi-magnon Floquet topological edge states
• ${\mathbb{Z}}_2$ Vortex Crystals in Tetrahedral Antiferromagnets: Fractional Charges and Topological Magnons
• Phase Transition of Topological Index driven by Dephasing
• Synthetic gauge field and pseudospin-orbit interaction in a stacked two-dimensional ring-network lattice
• Analytic Formulas for the Anomalous Hall Effect in Itinerant Magnets
• Two-dimensional honeycomb-kagome V2O3: a robust room-temperature magnetic Chern insulator interfaced with graphene
• Distribution of Chern number by Landau level broadening in Hofstadter's butterfly
• Multiple topological phases of magnons induced by Dzyaloshinskii-Moriya and pseudodipolar anisotropic exchange interactions in Kagome ferromagnets
• Quantized and nonquantized Hall response in topological Hatsugai-Kohmoto systems
• Exploiting $\vartheta -$functions for the identification of topological materials
• Gauge-invariant optical selection rules for excitons
• The antiferromagnetic Chern insulator phase in the Kane-Mele-Hubbard model
• Topological two-body interaction obstructing trivial ground states: an indicator of fractional Chern insulators
• Impact of the honeycomb spin-lattice on topological magnons and edge states in ferromagnetic 2D skyrmion crystals
• Interplay of Rashba spin-orbit coupling and Coulomb interaction in topological spin-triplet excitonic condensates
• Fine Structures of Berry Curvature and Unquantized Valley Chern Numbers in Valley Photonic Crystals
• Field-induced topological pair-density wave states in a multilayer optical lattice
• Straintronics and twistronics in bilayer graphene
• Magnon band structure of skyrmion crystals and stereographic projection approach
• Detecting degenerate bands topological invariants in optical lattice
• Quantum States and Spectra of Small Cylindrical and Toroidal Lattices