Projective Representations, Bogomolov Multiplier, and Their Applications in Physics

Quasilocal frustration-free free fermions

Rigorous Lower Bound of the Dynamical Critical Exponent of the Ising Model

Rigorous Lower Bound on Dynamical Exponents in Gapless Frustration-Free Systems

Z_N generalizations of three-dimensional stabilizer codes

Classification of time-reversal symmetric topological superconducting phases for conventional pairing symmetries

Critical Spontaneous Breaking of U(1) Symmetry at Zero Temperature in One Dimension

Quadratic dispersion relations in gapless frustration-free systems

Revisiting electromagnetic response of superconductors in mean-field approximation

Drude weights in one-dimensional systems with a single defect

Ground state degeneracy on torus in a family of Z_N toric code

Spontaneous symmetry breaking without ground state degeneracy in generalized N -state clock model

Bloch theorem in the presence of an additional conserved charge

Fractional hinge and corner charges in various crystal shapes with cubic symmetry

High-Throughput Investigations of Topological and Nodal Superconductors

Vanishing and Nonvanishing Persistent Currents of Various Conserved Quantities

Bloch oscillations in the spin-1/2 XXZ chain

Fractional Corner Charge of Sodium Chloride

Fractional corner magnetization of collinear antiferromagnets

Off-diagonal long-range order implies vanishing charge gap

qeirreps: An open-source program for QUANTUM ESPRESSO to compute irreducible representations of Bloch wavefunctions

Corner charge and bulk multipole moment in periodic systems

Correction to: A Proof of the Bloch Theorem for Lattice Models (Journal of Statistical Physics, (2019), 177, 4, (717-726), 10.1007/s10955-019-02386-1)

Counting Rules of Nambu-Goldstone Modes

Generalized f-sum rules and Kohn formulas on nonlinear conductivities

On the General Properties of Non-linear Optical Conductivities

Proof of the Absence of Long-Range Temporal Orders in Gibbs States

Refined symmetry indicators for topological superconductors in all space groups

Difficulties in operator-based formulation of the bulk quadrupole moment

Fragile topological phases in interacting systems

Geometric orbital magnetization in adiabatic processes

Many-Body Chern Number without Integration

Photonic bands in 230 space groups

Connecting higher-order topological insulators to lower-dimensional topological insulators

Fragile Topology and Wannier Obstructions

Inequivalent Berry Phases for the Bulk Polarization

Insensitivity of bulk properties to the twisted boundary condition

Lieb-Schultz-Mattis-type filling constraints in the 1651 magnetic space groups

Space Group Theory of Photonic Bands

Symmetry Indicators and Anomalous Surface States of Topological Crystalline Insulators

Unified understanding of symmetry indicators for all internal symmetry classes

Universal Relation among the Many-Body Chern Number, Rotation Symmetry, and Filling

Energy Gap of Neutral Excitations Implies Vanishing Charge Susceptibility

Erratum: Symmetry-based indicators of band topology in the 230 space groups

Symmetry-based indicators of band topology in the 230 space groups

Topological crystalline magnets: Symmetry-protected topological phases of fermions

Electric field-induced skyrmion crystals via charged monopoles in insulating helimagets

Filling-enforced quantum band insulators in spin-orbit coupled crystals

Absence of quantum time crystals

Filling constraints for spin-orbit coupled insulators in symmorphic and nonsymmorphic crystals

Anomalous Fermi-liquid phase in metallic skyrmion crystals

Criterion for stability of Goldstone modes and Fermi liquid behavior in a metal with broken symmetry

Effective lagrangian for nonrelativistic systems

Nambu-Goldstone bosons with fractional-power dispersion relations

Noncommuting momenta of topological solitons

Spontaneous breaking of spacetime symmetries and the inverse Higgs effect

Spontaneously broken non-Abelian gauge symmetries in nonrelativistic systems

Massive Nambu-Goldstone bosons

Redundancies in nambu-goldstone bosons

Spontaneous breaking of continuous translational invariance

Unified description of Nambu-Goldstone bosons without Lorentz invariance

Number of Nambu-Goldstone bosons and its relation to charge densities

Manipulation of the Dirac cones and the anomaly in the graphene related quantum Hall effect

Half-integer contributions to the quantum Hall conductivity from single Dirac cones

Corner charge and bulk multipole moment in periodic systems

Article

Correction to: A Proof of the Bloch Theorem for Lattice Models (Journal of Statistical Physics, (2019), 177, 4, (717-726), 10.1007/s10955-019-02386-1)

Article

Counting Rules of Nambu-Goldstone Modes

Article

Generalized f-sum rules and Kohn formulas on nonlinear conductivities

Article

On the General Properties of Non-linear Optical Conductivities

Article

Proof of the Absence of Long-Range Temporal Orders in Gibbs States

Article

Refined symmetry indicators for topological superconductors in all space groups

Article

Difficulties in operator-based formulation of the bulk quadrupole moment

Article

Fragile topological phases in interacting systems

Article

Geometric orbital magnetization in adiabatic processes

Article

Many-Body Chern Number without Integration

Article

Photonic bands in 230 space groups

Conference paper

Connecting higher-order topological insulators to lower-dimensional topological insulators

Article

Fragile Topology and Wannier Obstructions

Article

Inequivalent Berry Phases for the Bulk Polarization

Article

Insensitivity of bulk properties to the twisted boundary condition

Article

Lieb-Schultz-Mattis-type filling constraints in the 1651 magnetic space groups

Article

Space Group Theory of Photonic Bands

Article

Symmetry Indicators and Anomalous Surface States of Topological Crystalline Insulators

Article

Unified understanding of symmetry indicators for all internal symmetry classes

Article

Universal Relation among the Many-Body Chern Number, Rotation Symmetry, and Filling

Article

Energy Gap of Neutral Excitations Implies Vanishing Charge Susceptibility

Article

Erratum: Symmetry-based indicators of band topology in the 230 space groups

Article

Symmetry-based indicators of band topology in the 230 space groups

Article

Topological crystalline magnets: Symmetry-protected topological phases of fermions

Article

Electric field-induced skyrmion crystals via charged monopoles in insulating helimagets

Article

Filling-enforced quantum band insulators in spin-orbit coupled crystals

Article

Absence of quantum time crystals

Article

Filling constraints for spin-orbit coupled insulators in symmorphic and nonsymmorphic crystals

Article

Anomalous Fermi-liquid phase in metallic skyrmion crystals

Article

Criterion for stability of Goldstone modes and Fermi liquid behavior in a metal with broken symmetry

Article

Effective lagrangian for nonrelativistic systems

Article

Nambu-Goldstone bosons with fractional-power dispersion relations

Article

Noncommuting momenta of topological solitons

Article

Spontaneous breaking of spacetime symmetries and the inverse Higgs effect

Article

Spontaneously broken non-Abelian gauge symmetries in nonrelativistic systems

Article

Massive Nambu-Goldstone bosons

Article

Redundancies in nambu-goldstone bosons

Article

Spontaneous breaking of continuous translational invariance

Article

Unified description of Nambu-Goldstone bosons without Lorentz invariance

Article

Number of Nambu-Goldstone bosons and its relation to charge densities

Article

Manipulation of the Dirac cones and the anomaly in the graphene related quantum Hall effect

Conference paper

Half-integer contributions to the quantum Hall conductivity from single Dirac cones

Article