Theory and classification of interacting 'integer' topological phases in two dimensions: A Chern-Simons approach

Abstract

We study topological phases of interacting systems in two spatial dimensions in the absence of topological order (i.e. with a unique ground state on closed manifolds and no fractional excitations). These are the closest interacting analogs of integer Quantum Hall states, topological insulators and superconductors. We adapt the well-known Chern-Simons {K}-matrix description of Quantum Hall states to classify such `integer' topological phases. Our main result is a general formalism that incorporates symmetries into the {K}-matrix description. Remarkably, this simple analysis yields the same list of topological phases as a recent group cohomology classification, and in addition provides field theories and explicit edge theories for all these phases. The bosonic topological phases, which only appear in the presence of interactions and which remain well defined in the presence of disorder include (i) bosonic insulators with a Hall conductance quantized to even integers (ii) a bosonic analog of quantum spin Hall insulators and (iii) a bosonic analog of a chiral topological superconductor, whose K matrix is the Cartan matrix of Lie group E${}_8$. We also discuss interacting fermion systems where symmetries are realized in a projective fashion, where we find the present formalism can handle a wider range of symmetries than a recent group super-cohomology classification. Lastly we construct microscopic models of these phases from coupled one-dimensional systems.

Published version with some errors and typos corrected

References in corpus (18)

• Quantum Spin Hall Effect and Topological Phase Transition in HgTe Quantum Wells
• Quantum Spin Hall Insulator State in HgTe Quantum Wells
• Discovery (theoretical prediction and experimental observation) of a large-gap topological-insulator class with spin-polarized single-Dirac-cone on the surface
• A topological Dirac insulator in a quantum spin Hall phase : Experimental observation of first strong topological insulator
• Classification of topological insulators and superconductors in three spatial dimensions
• Topological Field Theory of Time-Reversal Invariant Insulators
• First direct observation of Spin-textures in Topological Insulators : Spin-resolved ARPES as a probe of topological quantum spin Hall effect and Berry's phase
• High temperature fractional quantum Hall states
• Fractional quantum Hall states at zero magnetic field
• Topological Surface States Protected From Backscattering by Chiral Spin Texture
• Three dimensional topological invariants for time reversal invariant Hamiltonians and the three dimensional quantum spin Hall effect
• Nearly-flat bands with nontrivial topology
• The Helical Liquid and the Edge of Quantum Spin Hall Systems
• Fractional quantum Hall effect in the absence of Landau levels
• Charge $4e$ superconductivity from pair density wave order in certain high temperature superconductors
• Fractional topological insulators in three dimensions
• Spin-charge Separated Solitons in a Topological Band Insulator
• Mutual Chern-Simons theory for Z_2 topological order

Cited by in corpus (380)

• Classification of topological quantum matter with symmetries
• Quantum Spin Liquids
• $(d-2)$-dimensional edge states of rotation symmetry protected topological states
• Zoo of quantum-topological phases of matter
• Symmetry Protected Topological phases of Quantum Matter
• Symmetry Fractionalization, Defects, and Gauging of Topological Phases
• Physics of three dimensional bosonic topological insulators: Surface Deconfined Criticality and Quantized Magnetoelectric Effect
• Deconfined quantum critical points: symmetries and dualities
• Quantitative mappings between symmetry and topology in solids
• A classification of symmetry enriched topological phases with exactly solvable models
• Interacting fermionic topological insulators/superconductors in three dimensions
• Random-matrix theory of Majorana fermions and topological superconductors
• Topological classification with additional symmetries from Clifford algebras
• Non-Hermitian perspective of the band structure in heavy-fermion systems
• Boson topological insulators: A window into highly entangled quantum phases
• Classification of interacting electronic topological insulators in three dimensions
• Classifying fractionalization: symmetry classification of gapped Z2 spin liquids in two dimensions
• Protected edge modes without symmetry
• Quantum Hall Physics - hierarchies and CFT techniques
• Symmetry protected topological phases from decorated domain walls
• Integer quantum Hall effect for bosons: A physical realization
• Twisted Quantum Double Model of Topological Phases in Two--Dimension
• Classifying gauge anomalies through SPT orders and classifying gravitational anomalies through topological orders
• Correlation effects in two-dimensional topological insulators
• Particle-vortex duality of 2d Dirac fermion from electric-magnetic duality of 3d topological insulators
• Reflection positivity and invertible topological phases
• Classifying symmetry-protected topological phases through the anomalous action of the symmetry on the edge
• Exactly Soluble Model of a 3D Symmetry Protected Topological Phase of Bosons with Surface Topological Order
• Superconductivity from Valley Fluctuations and Approximate SO(4) Symmetry in a Weak Coupling Theory of Twisted Bilayer Graphene
• Field theory representation of gauge-gravity symmetry-protected topological invariants, group cohomology and beyond
• Symmetry Enforced Non-Abelian Topological Order at the Surface of a Topological Insulator
• A Time-Reversal Invariant Topological Phase at the Surface of a 3D Topological Insulator
• Intrinsic and emergent anomalies at deconfined critical points
• Gapped Symmetry Preserving Surface-State for the Electron Topological Insulator
• Topological phases with generalized global symmetries
• A symmetry-respecting topologically-ordered surface phase of 3d electron topological insulators
• Bosonic topological insulator in three dimensions and the statistical Witten effect
• The effect of interactions on 2D fermionic symmetry-protected topological phases with Z2 symmetry
• Intrinsically Gapless Topological Phases
• Chiral Floquet Phases of Many-body Localized Bosons
• Gapless Symmetry Protected Topological Order
• Wire deconstructionism of two-dimensional topological phases
• Theory of Twist Liquids: Gauging an Anyonic Symmetry
• Hierarchy of topological order from finite-depth unitaries, measurement and feedforward
• Bulk-Edge Correspondence in 2+1-Dimensional Abelian Topological Phases
• Symmetry Protected Topological States of Interacting Fermions and Bosons
• Symmetric Gapped Interfaces of SPT and SET States: Systematic Constructions
• Classification and Description of Bosonic Symmetry Protected Topological Phases with semiclassical Nonlinear Sigma models
• Classification and Properties of Symmetry Enriched Topological Phases: A Chern-Simons approach with applications to Z2 spin liquids
• Floquet topological phases protected by time glide symmetry
• Long-range entanglement from measuring symmetry-protected topological phases
• Theory of interacting topological crystalline insulators
• Higher order symmetry-protected topological states for interacting bosons and fermions
• Bosonic Mott Insulator with Meissner Currents
• Topological invariants for gauge theories and symmetry-protected topological phases
• Breakdown of the topological classification Z for gapped phases of noninteracting fermions by quartic interactions
• Many-body topological invariants for fermionic short-range entangled topological phases protected by antiunitary symmetries
• Quantized topological terms in weak-coupling gauge theories with symmetry and their connection to symmetry enriched topological phases
• Coupled wire construction of chiral spin liquids
• Wave Functions of Bosonic Symmetry Protected Topological Phases
• Higher-order Topological Mott Insulators
• Quasi-symmetry groups and many-body scar dynamics
• Topological Luttinger Liquids from Decorated Domain Walls
• Superconducting analogue of the parafermion fractional quantum Hall states
• Topological color code and symmetry-protected topological phases
• Quantum Phase Transition between Integer Quantum Hall States of Bosons
• Non-Fermi liquids as ersatz Fermi liquids: general constraints on compressible metals
• Fractonic Matter in Symmetry-Enriched U(1) Gauge Theory
• Many-body localization, symmetry, and topology
• Realizing and Adiabatically Preparing Bosonic Integer and Fractional Quantum Hall states in Optical Lattices
• Ising ferromagnet to valence bond solid transition in a one-dimensional spin chain: Analogies to deconfined quantum critical points
• Reflection and time reversal symmetry enriched topological phases of matter: path integrals, non-orientable manifolds, and anomalies
• Symmetric Fracton Matter: Twisted and Enriched
• Symmetry-protected topological invariants of symmetry-protected topological phases of interacting bosons and fermions
• Chiral Mott Insulators, Meissner Effect, and Laughlin States in Quantum Ladders
• Symmetry protected Spin Quantum Hall phases in 2-Dimensions
• Topological theory of Lieb-Schultz-Mattis theorems in quantum spin systems
• Chiral Symmetry Breaking, Deconfinement and Entanglement Monotonicity
• Quantum Hall Effect of Two-Component Bosons at Fractional and Integral Fillings
• Construction of bosonic symmetry-protected-trivial states and their topological invariants via $G\times SO(\infty )$ non-linear $\sigma$-models
• Bulk-boundary correspondence in (3+1)-dimensional topological phases
• Symmetry-resolved entanglement in symmetry-protected topological phases
• Crystallization of Bosonic Quantum Hall States
• Bosonic Integer Quantum Hall effect in an interacting lattice model
• Global anomalies on the surface of fermionic symmetry-protected topological phases in (3+1) dimensions
• Many-body topological invariants in fermionic symmetry protected topological phases: Cases of point group symmetries
• Integer Quantum Hall State in Two-Component Bose Gases in a Synthetic Magnetic Field
• Composite fermi liquids in the lowest Landau level
• Renormalization group constructions of topological quantum liquids and beyond
• Symmetry-protected topological phases and orbifolds: Generalized Laughlin's argument
• Quantum phase transitions between bosonic symmetry protected topological phases in two dimensions: emergent $QE{D}_3$ and anyon superfluid
• Photonic Dirac monopoles and skyrmions: spin-1 quantization
• Bosonic topological phases of matter: bulk-boundary correspondence, SPT invariants and gauging
• Classification of Symmetry-Protected Phases for Interacting Fermions in Two Dimensions
• Bosonic Anomalies, Induced Fractional Quantum Numbers and Degenerate Zero Modes: the anomalous edge physics of Symmetry-Protected Topological States
• Composite Dirac liquids: parent states for symmetric surface topological order
• Classification and construction of higher-order symmetry protected topological phases of interacting bosons
• Topological Response Theory of Abelian Symmetry-Protected Topological Phases in Two Dimensions
• Topological bands with Chern number C=2 by dipolar exchange interactions
• A lattice non-perturbative definition of an SO(10) chiral gauge theory and its induced standard model
• Nontrivial Quantum Cellular Automata in Higher Dimensions
• Symmetry-Breaking Topological Insulators in the ${\mathbb{Z}}_2$ Bose-Hubbard Model
• Symmetry-protected Topological Phases, Generalized Laughlin Argument and Orientifolds
• Microscopic model for the boson integer quantum Hall effect
• Chiral-symmetry protected exceptional torus in correlated nodal-line semi-metals
• Bulk-boundary correspondence for three-dimensional symmetry-protected topological phases
• Effective field theories for topological insulators by functional bosonization
• Interacting fermionic symmetry-protected topological phases in two dimensions
• Quasi-Topological Phases of Matter and Topological Protection
• Pauli stabilizer models of twisted quantum doubles
• Conflicting Symmetries in Topologically Ordered Surface States of Three-dimensional Bosonic Symmetry Protected Topological Phases
• A K matrix Construction of Symmetry Enriched Phases of Matter
• Generalized homology and Atiyah-Hirzebruch spectral sequence in crystalline symmetry protected topological phenomena
• Bona fide interaction-driven topological phase transition in correlated SPT states
• Non-Perturbative Regularization of 1+1D Anomaly-Free Chiral Fermions and Bosons: On the equivalence of anomaly matching conditions and boundary gapping rules
• Universal symmetry-protected topological invariants for symmetry-protected topological states
• Bulk-boundary correspondence for intrinsically-gapless SPTs from group cohomology
• Detecting edge degeneracy in interacting topological insulators through entanglement entropy
• Anyon condensation and a generic tensor-network construction for symmetry protected topological phases
• Pivot Hamiltonians as generators of symmetry and entanglement
• Detecting two dimensional symmetry protected topological order in a ground state wave function
• Constructing symmetric topological phases of bosons in three dimensions via fermionic projective construction and dyon condensation
• Topological phase transition in a generalized Kane-Mele-Hubbard model: A combined Quantum Monte Carlo and Green's function study
• Vortex-line condensation in three dimensions: A physical mechanism for bosonic topological insulators
• Topological quantum field theory of three-dimensional bosonic Abelian-symmetry-protected topological phases
• Symmetry and duality in bosonization of two-dimensional Dirac fermions
• Minimalist approach to the classification of symmetry protected topological phases
• Anyons in Multichannel Kondo Systems
• Loop Braiding Statistics and Interacting Fermionic Symmetry-Protected Topological Phases in Three Dimensions
• Quantum gyro-electric effect: Photon spin-1 quantization in continuum topological bosonic phases
• Projective construction of two-dimensional symmetry-protected topological phases with U(1), SO(3), or SU(2) symmetries
• Symmetry-protected topological phases with charge and spin symmetries: response theory and dynamical gauge theory in 2D, 3D and the surface of 3D
• Multi-kink topological terms and charge-binding domain-wall condensation induced symmetry-protected topological states: Beyond Chern-Simons/BF theory
• Emergence of Chiral Spin Liquids via Quantum Melting of Non-Coplanar Magnetic Orders
• Doping the chiral spin liquid -- topological superconductor or chiral metal?
• Exceptional band touching for strongly correlated systems in equilibrium
• Bosonic integer quantum Hall effect in optical flux lattices
• Boundary conformal field theory and symmetry protected topological phases in $2+1$ dimensions
• Time-reversal and spatial reflection symmetry localization anomalies in (2+1)D topological phases of matter
• Topological Phases Protected By Reflection Symmetry and Cross-cap States
• Braiding with Borromean Rings in (3+1)-Dimensional Spacetime
• Rokhsar-Kivelson Models of Bosonic Symmetry-Protected Topological States
• CPT theorem and classification of topological insulators and superconductors
• Topological order in a correlated Chern insulator
• Stroboscopic Symmetry-Protected Topological Phases
• Fractional topological phases in three-dimensional coupled-wire systems
• Topological and symmetry-enriched random quantum critical points
• Exact realization of Integer and Fractional Quantum Hall Phases in U(1)xU(1) models in (2+1)d
• All-fermion electrodynamics and fermion number anomaly inflow
• Weak symmetry breaking in two dimensional topological insulators
• Chiral symmetry on the edge of 2D symmetry protected topological phases
• Microscopic Realization of 2-Dimensional Bosonic Topological Insulators
• Non-Abelian SU(N-1)-singlet fractional quantum Hall states from coupled wires
• Topologically-Protected Long Edge Coherence Times in Symmetry-Broken Phases
• Three dimensional Symmetry Protected Topological Phase close to Antiferromagnetic Neel order
• Chern-Simons Invariants from Ensemble Averages
• Generalized Wen-Zee Terms
• Non-local topological electromagnetic phases of matter
• $Z_N$ Berry Phases in Symmetry Protected Topological Phases
• Wavefunctions of Symmetry Protected Topological Phases from Conformal Field Theories
• $U(1)\times U(1)$ Symmetry Protected Topological Order in Gutzwiller Wave Functions
• Evidence for deconfined $U(1)$ gauge theory at the transition between toric code and double semion
• A gauge theory generalization of the fermion-doubling theorem
• Anomalies in bosonic SPT edge theories: connection to F-symbols and a method for calculation
• Symmetry-Protected Topological Phases in a Rydberg Glass
• Real-space construction of crystalline topological superconductors and insulators in 2D interacting fermionic systems
• Fractional Quantum Hall Effect in Weyl Semimetals
• Quantum Phase Transitions Between Bosonic Symmetry Protected Topological States Without Sign Problem: Nonlinear Sigma Model with a Topological Term
• Coupled-wire constructions: a Luttinger liquid approach to topology
• Field Theories for Gauged Symmetry Protected Topological Phases: Abelian Gauge Theories with non-Abelian Quasiparticles
• Higgs-confinement phase transitions with fundamental representation matter
• Chiral spin density wave, spin-charge-Chern liquid and d+id superconductivity in 1/4-doped correlated electronic systems on the honeycomb lattice
• Symmetry enriched U(1) quantum spin liquids
• Charge density waves in Weyl semimetals
• Measuring space-group symmetry fractionalization in Z${}_2$ spin liquids
• Bosonic topological insulator intermediate state in the superconductor-insulator transition
• Symmetry Enrichment in Three-Dimensional Topological Phases
• Symmetry-protected many-body Aharonov-Bohm effect
• Topological invariants for interacting topological insulators: II. Breakdown of the Green's function formalism
• Interaction effects on the classification of crystalline topological insulators and superconductors
• Anyonic Symmetries and Topological Defects in Abelian Topological Phases: an application to the $ADE$ Classification
• Quantum Monte Carlo study of strange correlator in interacting topological insulators
• From trivial to topological paramagnets: The case of ${\mathbb{Z}}_2$ and ${\mathbb{Z}}_2^3$ symmetries in two dimensions
• Bridging Fermionic and Bosonic Short Range Entangled States
• Chern-Simons Theory and Wilson Loops in the Brillouin Zone
• Lieb-Schultz-Mattis theorems for symmetry protected topological phases
• Construction and classification of point group symmetry protected topological phases in 2D interacting fermionic systems
• Relationship between Symmetry Protected Topological Phases and Boundary Conformal Field Theories via the Entanglement Spectrum
• Theory of a 3+1D fractional chiral metal: interacting variant of the Weyl semimetal
• Topological Sachdev-Ye-Kitaev Model
• Kagome chiral spin liquid as a gauged U(1) symmetry protected topological phase
• Topological Electromagnetic Responses of Bosonic Quantum Hall, Topological Insulator, and Chiral Semi-Metal phases in All Dimensions
• Symmetry-Protected Topological Interfaces and Entanglement Sequences
• Quantum Paramagnet and Frustrated Quantum Criticality in a Spin-One Diamond Lattice Antiferromagnet
• Three Dimensional Z2 Topological Phases enriched by Time-Reversal Symmetry
• Lattice model constructions for gapless domain walls between topological phases
• Unidirectional Maxwellian Spin Waves
• Full Commuting Projector Hamiltonians of Interacting Symmetry-Protected Topological Phases of Fermions
• Correlation effects on topological crystalline insulators
• Quantum Hall phases of two-component bosons
• Classifying Quantum Phases With The Torus Trick
• Interaction Enabled Topological Crystalline Phases
• Unquantized anomalies in topological semimetals
• Building models of topological quantum criticality from pivot Hamiltonians
• Short-Range Entangled Bosonic States with Chiral Edge Modes and $T$-duality of Heterotic Strings
• Fate of Majorana modes in ${\mathrm{CeCoIn}}_5$/${\mathrm{YbCoIn}}_5$ superlattices -a test bed for reduction of topological classification-
• Detecting Majorana fermions in quasi-one-dimensional topological phases using nonlocal order parameters
• Globally symmetric topological phase: from anyonic symmetry to twist defect
• Anyon Superconductivity from Topological Criticality in a Hofstadter-Hubbard Model
• Emergent particle-hole symmetry in spinful bosonic quantum Hall systems
• The anisotropic Harper-Hofstadter-Mott model: competition between condensation and magnetic fields
• Fermionization of Bosons in a Flat Band
• Parafermionic wires at the interface of chiral topological states
• Topological spin ordering via Chern-Simons superconductivity
• A series of (2+1)d Stable Self-Dual Interacting Conformal Field Theories
• Symmetry fractionalization in the gauge mean-field theory of quantum spin ice
• Non-Abelian Chiral Spin Liquid on the Kagome Lattice
• Charged Topological Entanglement Entropy
• Two dimensional spin liquids with ${\mathbb{Z}}_2$ topological order in an array of quantum wires
• Topological order, symmetry, and Hall response of two-dimensional spin-singlet superconductors
• Theory of the fractional quantum Hall effect in Weyl semimetals
• A classification of magnetic frustration and metamaterials from topology
• Gapped symmetric edges of symmetry protected topological phases
• Relative Anomaly in (1+1)d Rational Conformal Field Theory
• Bosonic Analogue of Dirac Composite Fermi Liquid
• Fate of exceptional points under interactions: Reduction of topological classifications
• Braiding statistics and classification of two-dimensional charge-$2m$ superconductors
• `Gauging' time reversal symmetry in tensor network states
• Hidden order and flux attachment in symmetry protected topological phases: a Laughlin-like approach
• Two dimensional Symmetry Protected Topological Phases with PSU(N) and time reversal symmetry
• Spin quantum Hall effects in a spin-1 topological paramagnet
• Interacting Topological Quantum Chemistry in 2D: Many-body Real Space Invariants
• A Strongly-Interacting Dirac Liquid on the Surface of a Topological Kondo Insulator
• Bosonic integer quantum Hall states in topological bands with Chern number two
• Ishibashi States, Topological Orders with Boundaries and Topological Entanglement Entropy
• Quantum Hall states for Rydberg atoms with laser-assisted dipole-dipole interactions
• Topological edge Mott insulating state in two dimensions at finite temperatures -bulk and edge analysis-
• Bridging coupled wires and lattice Hamiltonian for two-component bosonic quantum Hall states
• From coupled-wire construction of quantum Hall states to wave functions and hydrodynamics
• Bosonic Crystalline Symmetry Protected Topological Phases Beyond the Group Cohomology Proposal
• Topological Phases on Non-orientable Surfaces: Twisting by Parity Symmetry
• (3+1)-dimensional topological quantum field theory from a tight-binding model of interacting spinless fermions
• Reduction of topological $\mathbb{Z}$ classification in cold atomic systems
• Bilayer Graphene as a platform for Bosonic Symmetry Protected Topological States
• Organizing symmetry-protected topological phases by layering and symmetry reduction: a minimalist perspective
• A UV perspective on mixed anomalies at critical points between bosonic symmetry-protected phases
• Folding approach to topological orders enriched by mirror symmetry
• Facet Dependent Topological Phase Transition in Bi4Br4
• Global phase diagram of two-component Bose gases in antiparallel magnetic fields
• Bosonic symmetry protected topological phases with reflection symmetry
• Continuous phase transition between bosonic integer quantum Hall liquid and trivial insulator: evidences for deconfined quantum criticality
• Majorana zero modes induced by superconducting phase bias
• Generalized Lieb-Schultz-Mattis theorem on bosonic symmetry protected topological phases
• A non-Abelian twist to integer quantum Hall states
• A note on the parity anomaly from the Hamiltonian point of view
• Topological phases in small quantum Hall samples
• Model Realization and Numerical Studies of a Three-Dimensional Bosonic Topological Insulator and Symmetry-Enriched Topological Phases
• Supersymmetry "protected" topological phases of isostatic lattices and kagome antiferromagnets
• Intrinsically Interacting Higher-Order Topological Superconductors
• Fractonic Higher-Order Topological Phases in Open Quantum Systems
• Symmetry-protected topological order in magnetization plateau states of quantum spin chains
• Topological transport in a spin-orbit coupled bosonic Mott insulator
• Visualizing a Bosonic Symmetry Protected Topological Phase in an Interacting Fermion Model
• Microscopic Mechanism of Anyon Superconductivity Emerging from Fractional Chern Insulators
• Anomaly indicators for topological orders with $U(1)$ and time-reversal symmetry
• Condensation of Lattice Defects and Melting Transitions in Quantum Hall phases
• Line defects in Three dimensional Symmetry Protected Topological Phases
• The superconductor-insulator transition in absence of disorder
• Quantum Hall spin liquids and their possible realization in moiré systems
• Bosonic Short Range Entangled states Beyond Group Cohomology classification
• Detecting Subsystem Symmetry Protected Topological Order Through Strange Correlators
• An infinite family of 3d Floquet topological paramagnets
• From coupled wires to coupled layers: Model with three-dimensional fractional excitations
• $Z_2$ fractionalized Chern/topological insulators in an exactly soluble correlated model
• From orbifolding conformal field theories to gauging topological phases
• Surface field theories of point group symmetry protected topological phases
• Filling constraints on fermionic topological order in zero magnetic field
• Worldsheet matter for electric flux strings
• Bosonic integer quantum Hall effect as topological pumping
• Classification and construction of interacting fractonic higher-order topological phases
• Entanglement entropy and entanglement spectrum of triplet topological superconductors
• Symmetry protected gapless $Z_2$ spin liquids
• Strongly correlated crystalline higher-order topological phases in two-dimensional systems: A coupled-wire study
• Edge stability and edge quantum criticality in 2D interacting topological insulators
• Unification of parton and coupled-wire approaches to quantum magnetism in two dimensions
• Topological edge states in single layers of honeycomb materials with strong spin-orbit coupling
• Classification and surface anomaly of glide symmetry protected topological phases in three dimensions
• Field theory of symmetry-protected valence bond solid states in (2+1) dimensions
• Criteria for protected edge modes with ${\mathbb{Z}}_2$ symmetry
• Generic "Unnecessary" Quantum Critical Points with Minimal Degrees of Freedom
• 3+1d Boundaries with Gravitational Anomaly of 4+1d Invertible Topological Order for Branch-Independent Bosonic Systems
• Quantum spin liquids of Rydberg excitations in a honeycomb lattice induced by density-dependent Peierls phases
• Anomaly indicators and bulk-boundary correspondences for 3D interacting topological crystalline phases with mirror and continuous symmetries
• Minimal Fractional Topological Insulator in half-filled conjugate moiré Chern bands
• Symmetry Analysis of Tensors in the Honeycomb Lattice of Edge-Sharing Octahedra
• Symmetry-induced anyon "breeding" in fractional quantum Hall states
• Lattice realization of a bosonic integer quantum Hall state - trivial insulator transition and relation to the self-dual line in the easy-plane NCCP1 model
• Higher-Order Cellular Automata Generated Symmetry-Protected Topological Phases and Detection Through Multi-Point Strange Correlators
• Coupled Wire Models of Interacting Dirac Nodal Superconductors
• Edge theories of 2D fermionic symmetry protected topological phases protected by unitary Abelian symmetries
• Disentangling (2+1)d Topological States of Matter with the Entanglement Negativity
• Quasiparticle Berry curvature and Chern numbers in spin-orbit coupled bosonic Mott insulators
• Topological BF theory of the quantum hydrodynamics of incompressible polar fluids
• Quantum Hall phase diagram of two-component Bose gases: Intercomponent entanglement and pseudopotentials
• Identifying the topological order of quantized half-filled Landau levels through their daughter states
• Interacting Valley Chern Insulator and its Topological Imprint on Moiré Superconductors
• Paired fermions in strong magnetic fields and daughters of even-denominator Hall plateaus
• Monte Carlo Study of a $U(1)\times U(1)$ Loop Model with Modular Invariance
• Topological antiferromagnetic spin-density-wave phase in an extended Kondo lattice model
• Boundary conditions and anomalies of conformal field theories in 1+1 dimensions
• Interacting Edge States of Fermionic Symmetry-Protected Topological Phases in Two Dimensions
• Continuum field theory of 3D topological orders with emergent fermions and braiding statistics
• Symmetry-resolved entanglement of 2D symmetry-protected topological states
• Gauging U(1) symmetry in (2+1)d topological phases
• Fermion Parity Flips and Majorana Bound States at twist defects in Superconducting Fractional Topological Phases
• Chern number matrix of the non-Abelian spin-singlet fractional quantum Hall effect
• Superuniversality from disorder at two-dimensional topological phase transitions
• Structure of the Entanglement Entropy of (3+1)D Gapped Phases of Matter
• Monte Carlo study of phase transitions out of Symmetry-Enriched Topological phases of bosons in two dimensions
• Interplay between short and long-range entanglement in symmetry protected phases
• Effective theory of fractional topological insulators in two spatial dimensions
• Topological transitions in a model with Particle-Hole symmetry, Pancharatnam-Berry Curvature and Dirac Points
• Topological symmetry breaking: Domain walls and partial instability of chiral edges
• Quantum Phases and Collective Excitations in Bose-Hubbard Models with Staggered Magnetic Flux
• Entanglement Chern number for three-dimensional topological insulators: Characterization by Weyl points of entanglement Hamiltonians
• Anomalous domain wall condensation in a modified Ising chain
• Correspondence between bulk entanglement and boundary excitation spectra in 2d gapped topological phases
• Fermionic Symmetry Protected Topological Phase Induced by Interactions
• A Long Exact Sequence in Symmetry Breaking: order parameter constraints, defect anomaly-matching, and higher Berry phases
• The Partially-Split Hall Bar: Tunneling in the Bosonic Integer Quantum Hall Effect
• Continuous transition between Ising magnetic order and a chiral spin liquid
• Topological quantum phase transition in Kane-Mele-Kondo lattice model
• Fractionalization as an alternate to charge ordering in electronic insulators
• Many-Body Effects in Topological Kondo Insulators
• Classical topological paramagnetism
• Continuous phase transitions between fractional quantum Hall states and symmetry-protected topological states
• Floquet Flux Attachment in Cold Atomic Systems
• Interacting topological phases in thin films of topological mirror Kondo insulators
• Unveiling Correlated Two-dimensional Topological Insulators through Fermionic Tensor Network States -- Classification, Edge Theories and Variational Wavefunctions
• Topological properties of magnetically ordered heavy-fermion systems in the presence of mirror symmetry
• Stability of Topological Insulators with Non-Abelian Edge Excitations
• Bound states of three fermions forming symmetry-protected topological phases
• Disentangling modular Walker-Wang models via fermionic invertible boundaries
• Three-dimensional fracton topological orders with boundary Toeplitz braiding
• Universality and quantized response in bosonic nonfractionalized tunneling
• A Bosonic Analog of a Topological Dirac Semi-Metal: Effective Theory, Neighboring Phases, and Wire Construction
• Topology and Spectrum in Measurement-Induced Phase Transitions
• Fractional Spin Quantum Hall Effect in Weakly Coupled Spin Chain Arrays
• Fermionic symmetry-protected topological state in strained graphene
• A bosonic topological phase in a paired superfluid
• Theory of topological defects and textures in two-dimensional quantum orders with spontaneous symmetry breaking
• Reduction of $\mathbb{Z}$ classification of a two-dimensional weak topological insulator - real-space DMFT study -
• Bridging three-dimensional coupled-wire models and cellular topological states: Solvable models for topological and fracton orders
• Bosonic Integer Quantum Hall States without Landau Levels on Square Lattice
• Building Symmetry Enriched Topological Phases from a Bipartite Lattice Construction and Anyon Condensation
• Gauging Defects in Quantum Spin Systems
• Corner Modes and Ground-State Degeneracy in Models with Gauge-Like Subsystem Symmetries
• Chiral topological states in Bose-Fermi mixtures
• Topological bosonic states on ribbons of honeycomb lattice
• Dihedral twist liquid models from emergent Majorana fermions
• Integer quantum Hall effect of two-component hardcore bosons in a topological triangular lattice
• Modulating Hamiltonian Approach to Quantum Many-Body Systems and Crystalline Topological Phases Protected by Generalized Magnetic Translations
• Partial fillings of the bosonic $E_8$ quantum Hall state
• Ordering the topological order in the fractional quantum Hall effect
• Quasi-one-dimensional Hall physics in the Harper-Hofstadter-Mott model
• Adiabatic Continuity of the Spinful Quantum Hall States
• Diagrammatics, Pentagon Equations, and Hexagon Equations of Topological Orders with Loop- and Membrane-like Excitations
• Perturbative and global anomalies in bosonic analogues of integer quantum Hall and topological insulator phases
• Instanton effects in lattice models of bosonic symmetry-protected topological states
• Impurity screening by defects in (1+1)$d$ quantum critical systems
• Infinite-component $BF$ field theory: Connection of fracton order, Toeplitz braiding, and non-Hermitian amplification
• Topological stabilizer models on continuous variables
• Kondo spin liquid in Kondo necklace model: Classical disordered phase versus symmetry-protected topological state
• Solvable models for 2+1D quantum critical points: Loop soups of 1+1D conformal field theories
• Detecting underlying symmetry-protected topological phases via strange correlators and edge engineering
• Reduction of unitary operators, quantum graphs and quantum channels
• Twisted quantum doubles are sign problem-free
• Spurious Strange Correlators in Symmetry-Protected Topological Phases
• Triangular lattice models of the Kalmeyer-Laughlin spin liquid from coupled wires
• Detection of 2D SPT Order with Partial Symmetries