Quantum spin Hall insulators with arbitrary spin J support J+1/2 pairs of helical edge modes protected by mirror Chern numbers, described by a generalized Dirac fermion with higher-order dispersion and nonlinear transport.
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19 Pith papers cite this work. Polarity classification is still indexing.
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cond-mat.mes-hall 4 quant-ph 4 cond-mat.mtrl-sci 3 cond-mat.str-el 3 hep-th 2 cond-mat.quant-gas 1 cond-mat.stat-mech 1 physics.optics 1roles
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background 4representative citing papers
Mixed-state topology in non-Hermitian systems is characterized via the Uhlmann connection, yielding a thermal Uhlmann-Chern number that differs from pure-state topology and extends to higher-dimensional Abelian and non-Abelian cases.
Double-zero-index media expand uniform topological states beyond native interfaces in a 2D photonic Su-Schrieffer-Heeger lattice, breaking conventional bulk-edge correspondence as demonstrated by simulations and microwave experiments.
Experimental preparation of topologically nontrivial critical states of the cluster Ising model on a 100-qubit superconducting processor, verified by boundary g-function and two-fold entanglement spectrum degeneracy under periodic boundaries.
Nonminimal spin-orbit coupling deforms angular-momentum branches in a quantum ring, producing distinct signatures in thermodynamic functions and thermomechanical instabilities enhanced by Fermi statistics, with a phenomenological model yielding anomalous thermal contraction.
Majorana zero modes in the Kitaev chain protect boundary quantum Fisher information from delocalization, maintaining a nonzero plateau for exponentially long times.
Direct observation of gapless moiré-Dirac quasiparticles forming topological nodal lines protected by non-symmorphic symmetry, with control via moiré periodicity.
Semi-Dirac materials can support four corner-localized Majorana zero modes by turning their anisotropic non-chiral edge states into effective Kitaev chains via s-wave proximity pairing.
Direct ARPES evidence of robust topological surface states from Dirac nodal lines in Eu(Ga,Al)4 magnets, coupled to helical antiferromagnetic order, confirms dual real-space and momentum-space topology.
Complementary Lucas sequences can appear simultaneously as non-Hermitian zero modes—edge-localized and constant-intensity—when a 1D system couples to a suitably engineered gain-loss reservoir.
Nonminimal couplings in the Dirac equation generate effective Rashba Hamiltonians from both electric and magnetic fields in 1D rings, enabling exact energy levels, Aharonov-Anandan phases, persistent spin currents, and order-of-magnitude bounds on the couplings g1 and g2.
In the non-Hermitian SSH chain with AAH disorder, a competition regime shows reentrant partial delocalization, a modified localization boundary λ_c(δ)=2√(v_eff w), unwinding of spectral loops, and entanglement suppression by skin effect.
Derives exact bulk-boundary correspondence allowing extraction of edge-mode degeneracy from bulk entanglement spectrum in critical free-fermion systems of arbitrary dimensions.
Beta-bismuthene was epitaxially grown on Sb2Te3 and characterized by STM, showing effects of coverage and temperature on nucleation, morphology, atomic structure, and substrate-induced defects.
Wave-packet dynamics in an extended graphene tight-binding model reveals the structure, emergence, and winding numbers of Dirac, hybrid, and parabolic points.
Mean-field calculations reveal magic tilt angles triggering transitions between checkerboard finite-momentum and stripe supersolid phases in spin-orbit-coupled dipolar bosons.
The work constructs an equivalence class of 3D lattice models realizing single Weyl fermions through symmetry-protected topological states and controlled symmetry breaking, linking them to gapless phases in superconductors and superfluids.
First-principles and k·p study of strained HgTe shows linearly k-dependent higher-order C4 strain terms produce nontrivial sub-band splitting, explaining camel-back features and supporting a Weyl semimetal phase under compression.
Topological defects can be identified in glasses and may provide a first-principles framework for their mechanical response and spatiotemporal dynamics.
citing papers explorer
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Quantum higher-spin Hall insulators
Quantum spin Hall insulators with arbitrary spin J support J+1/2 pairs of helical edge modes protected by mirror Chern numbers, described by a generalized Dirac fermion with higher-order dispersion and nonlinear transport.
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Mixed-State Topology in Non-Hermitian Systems
Mixed-state topology in non-Hermitian systems is characterized via the Uhlmann connection, yielding a thermal Uhlmann-Chern number that differs from pure-state topology and extends to higher-dimensional Abelian and non-Abelian cases.
-
Free Extension of Topological States via Double-zero-index Media
Double-zero-index media expand uniform topological states beyond native interfaces in a 2D photonic Su-Schrieffer-Heeger lattice, breaking conventional bulk-edge correspondence as demonstrated by simulations and microwave experiments.
-
Exploring nontrivial topology at quantum criticality in a superconducting processor
Experimental preparation of topologically nontrivial critical states of the cluster Ising model on a 100-qubit superconducting processor, verified by boundary g-function and two-fold entanglement spectrum degeneracy under periodic boundaries.
-
Thermodynamics and emergent thermomechanical response of a quantum ring with nonminimal spin--orbit coupling
Nonminimal spin-orbit coupling deforms angular-momentum branches in a quantum ring, producing distinct signatures in thermodynamic functions and thermomechanical instabilities enhanced by Fermi statistics, with a phenomenological model yielding anomalous thermal contraction.
-
Topological protection of local quantum Fisher information
Majorana zero modes in the Kitaev chain protect boundary quantum Fisher information from delocalization, maintaining a nonzero plateau for exponentially long times.
-
Observation and Control of Moir\'e-Tailored Topological Dirac States
Direct observation of gapless moiré-Dirac quasiparticles forming topological nodal lines protected by non-symmorphic symmetry, with control via moiré periodicity.
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Corner Majorana states in semi-Dirac materials
Semi-Dirac materials can support four corner-localized Majorana zero modes by turning their anisotropic non-chiral edge states into effective Kitaev chains via s-wave proximity pairing.
-
Robust topological surface states in skyrmion-host magnets Eu(Ga,Al)4: evidence for dual topology
Direct ARPES evidence of robust topological surface states from Dirac nodal lines in Eu(Ga,Al)4 magnets, coupled to helical antiferromagnetic order, confirms dual real-space and momentum-space topology.
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Observing complementary Lucas sequences using non-Hermitian zero modes
Complementary Lucas sequences can appear simultaneously as non-Hermitian zero modes—edge-localized and constant-intensity—when a 1D system couples to a suitably engineered gain-loss reservoir.
-
Geometric Phases and Persistent Spin Currents from nonminimal couplings
Nonminimal couplings in the Dirac equation generate effective Rashba Hamiltonians from both electric and magnetic fields in 1D rings, enabling exact energy levels, Aharonov-Anandan phases, persistent spin currents, and order-of-magnitude bounds on the couplings g1 and g2.
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Competing skin effect and quasiperiodic localization in the non-Hermitian Su-Schrieffer-Heeger chain: Reentrant delocalization, spectral topology destruction, and entanglement suppression
In the non-Hermitian SSH chain with AAH disorder, a competition regime shows reentrant partial delocalization, a modified localization boundary λ_c(δ)=2√(v_eff w), unwinding of spectral loops, and entanglement suppression by skin effect.
-
Generalized Li-Haldane Correspondence in Critical Dirac-Fermion Systems
Derives exact bulk-boundary correspondence allowing extraction of edge-mode degeneracy from bulk entanglement spectrum in critical free-fermion systems of arbitrary dimensions.
-
Epitaxial growth of beta-bismuthene on Sb2Te3
Beta-bismuthene was epitaxially grown on Sb2Te3 and characterized by STM, showing effects of coverage and temperature on nucleation, morphology, atomic structure, and substrate-induced defects.
-
Dynamically Characterizing the Structures of Dirac Points via Wave Packets
Wave-packet dynamics in an extended graphene tight-binding model reveals the structure, emergence, and winding numbers of Dirac, hybrid, and parabolic points.
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Magnetic quantum phases of spin-orbit-coupled anisotropic dipolar bosons in square lattices
Mean-field calculations reveal magic tilt angles triggering transitions between checkerboard finite-momentum and stripe supersolid phases in spin-orbit-coupled dipolar bosons.
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Equivalence class of Emergent Single Weyl fermion lattice models in 3 dimensions: gapless superconductors and superfluids versus chiral fermions
The work constructs an equivalence class of 3D lattice models realizing single Weyl fermions through symmetry-protected topological states and controlled symmetry breaking, linking them to gapless phases in superconductors and superfluids.
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Anisotropic sub-band splitting mechanisms in strained HgTe: a first principles study
First-principles and k·p study of strained HgTe shows linearly k-dependent higher-order C4 strain terms produce nontrivial sub-band splitting, explaining camel-back features and supporting a Weyl semimetal phase under compression.
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Topological Defects in Amorphous Solids
Topological defects can be identified in glasses and may provide a first-principles framework for their mechanical response and spatiotemporal dynamics.