A Widom determinant expansion reveals that finite-size edge states in non-Hermitian chains can be absorbed by the bulk spectrum at a critical system size due to competition between boundary-projected Green's function subsets.
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39 Pith papers cite this work. Polarity classification is still indexing.
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cond-mat.mes-hall 16 cond-mat.str-el 6 quant-ph 5 cond-mat.dis-nn 2 cond-mat.mtrl-sci 2 cond-mat.quant-gas 2 cond-mat.supr-con 2 cond-mat.other 1 cond-mat.soft 1 hep-th 1roles
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First direct measurement of non-Abelian quantum geometric tensor, Euler curvature, and quaternion charges in a multi-gap photonic lattice via orbital-resolved polarimetry.
Phase diagrams of trivial phases in class A non-interacting fermions exhibit topological textures from non-trivial state families, computed via higher Berry phases, with diabolical points hosting robust boundary modes.
In Floquet topological systems the two-terminal conductance quantizes to |W_ε| e²/h and the Hall conductance to W_ε e²/h after summing all Floquet sidebands, where W_ε is the winding invariant of the quasienergy gap.
A semi-Dirac Chern insulator model yields chiral edge states with cubic dispersion E(k) ∝ k³ instead of the usual linear form.
Nonlocal magic in fermionic Gaussian states is bounded by the entanglement spectrum of the covariance matrix, is extensive in the Haar ensemble, peaks at criticality in the Kitaev chain, and grows diffusively under random circuits.
Exact diagonalization provides evidence that the antiferromagnetic Chern insulator phase with quantized Chern number C=1 exists in the Kane-Mele-Hubbard model, shown by gap closing, anisotropic spin correlations, fidelity susceptibility, and a modified Chern number calculation that accounts for TRS-
Coulomb interactions turn a Berry-dipole semimetal into an anisotropic non-Fermi liquid with amplified topological Berry dipole under renormalization-group flow.
Step edges in 3D topological metals carry a robust non-integer conductance K e²/h determined by the bulk.
Zeeman QGT is non-Hermitian with anomalous sector giving curvature-flux dual to local pi1 topology at Dirac nodes, matching four symmetry-resolved gyrotropic conductivity components.
Generalized Brillouin zones in non-Hermitian 1D models can become disconnected with more connected components than bands from point-gap features, allowing line gaps to close without altering point-gap topology.
A chirality-switching model of 2D active particles produces robust topological edge currents in confinement and at phase-separation interfaces, distinct from standard motility-induced phase separation.
DMRG study of modulated Hubbard chain finds interaction-split edge spectral flow in C=+2 Thouless pump at ρ=2/3 while bulk charge transport stays integer.
Soft Ar-ion bombardment plus annealing generates an anomalous linearly dispersing spin-polarized band spanning up to 650 meV with opposite helicity to the topological surface state in Bi-based TI films.
Higher-order topological phases can be protected solely by the bulk gap, fundamental symmetries, and the global topology of the system shape via its genus, independent of crystalline symmetries.
Continuous-space quantum Monte Carlo shows that in honeycomb optical lattices, density-assisted tunneling suppresses higher Mott lobes, making the standard Bose–Hubbard model inaccurate even for deep lattices.
Impurity-scattering-induced coherence decay produces finite longitudinal conductivity in Berry-curvature-dominated topological insulators without Fermi-level carriers, with linear impurity scaling and 1/T temperature dependence.
Non-Abelian multigap topology with Euler class invariants in kagome NHC MOFs induces a controllable magnetononlinear Hall effect.
Epitaxial bilayer bismuth on EuO(111) forms a stabilized alpha-phase bismuthene with a robust 400 meV gap and boundary-localized states consistent with a room-temperature quantum spin Hall phase.
Short-range orbital glass order above the magnetic transition in Ba2NaOsO6 forms a nematic state that induces magnetism and conceals the expected magnetic entropy.
In bond-inflated lattices, flat bands arise from chain modes, chiral imbalance, and junction states; random inflation preserves a zero-energy peak whose size is approximated by the graph matching deficiency.
Light-matter coupling expansion of the magnon Hamiltonian yields the Fleury-Loudon Raman vertex, directly connecting Raman circular dichroism to magnon band Berry curvature.
A many-body winding invariant based on Pancharatnam phases uniquely determines the 4^ν entanglement-spectrum degeneracy scaling in interacting generalized SSH chains, establishing symmetry-protected bulk-boundary correspondence.
The renormalized fermionic Casimir energy between parallel plates is modified only by the normal component of the axial background vector b_z, which combines with the timelike b_0 into a single effective spectral parameter in a closed logarithmic integral representation.
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Non-Hermitian Edge State Endocytosis
A Widom determinant expansion reveals that finite-size edge states in non-Hermitian chains can be absorbed by the bulk spectrum at a critical system size due to competition between boundary-projected Green's function subsets.
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Measuring non-Abelian quantum geometry and topology in a multi-gap photonic lattice
First direct measurement of non-Abelian quantum geometric tensor, Euler curvature, and quaternion charges in a multi-gap photonic lattice via orbital-resolved polarimetry.
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Textured phase diagrams of featureless insulators
Phase diagrams of trivial phases in class A non-interacting fermions exhibit topological textures from non-trivial state families, computed via higher Berry phases, with diabolical points hosting robust boundary modes.
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Quantized Transport in Floquet Topological Insulators
In Floquet topological systems the two-terminal conductance quantizes to |W_ε| e²/h and the Hall conductance to W_ε e²/h after summing all Floquet sidebands, where W_ε is the winding invariant of the quasienergy gap.
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Cubic edge dispersion in a semi-Dirac Chern insulator
A semi-Dirac Chern insulator model yields chiral edge states with cubic dispersion E(k) ∝ k³ instead of the usual linear form.
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Nonlocal nonstabilizerness in free fermion models
Nonlocal magic in fermionic Gaussian states is bounded by the entanglement spectrum of the covariance matrix, is extensive in the Haar ensemble, peaks at criticality in the Kitaev chain, and grows diffusively under random circuits.
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The antiferromagnetic Chern insulator phase in the Kane-Mele-Hubbard model
Exact diagonalization provides evidence that the antiferromagnetic Chern insulator phase with quantized Chern number C=1 exists in the Kane-Mele-Hubbard model, shown by gap closing, anisotropic spin correlations, fidelity susceptibility, and a modified Chern number calculation that accounts for TRS-
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Topological anisotropic non-Fermi liquid from a Berry-dipole semimetal
Coulomb interactions turn a Berry-dipole semimetal into an anisotropic non-Fermi liquid with amplified topological Berry dipole under renormalization-group flow.
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Step-Edge Anomaly in Topological Metals
Step edges in 3D topological metals carry a robust non-integer conductance K e²/h determined by the bulk.
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Dual Quantum Geometric Tensors and Local Topological Invariant
Zeeman QGT is non-Hermitian with anomalous sector giving curvature-flux dual to local pi1 topology at Dirac nodes, matching four symmetry-resolved gyrotropic conductivity components.
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Topology of the generalized Brillouin zone of one-dimensional models
Generalized Brillouin zones in non-Hermitian 1D models can become disconnected with more connected components than bands from point-gap features, allowing line gaps to close without altering point-gap topology.
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A chirality-switching model of 2D active particles produces robust topological edge currents in confinement and at phase-separation interfaces, distinct from standard motility-induced phase separation.
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Interaction-Split Edge Spectral Flow in an Integer Hubbard Thouless Pump
DMRG study of modulated Hubbard chain finds interaction-split edge spectral flow in C=+2 Thouless pump at ρ=2/3 while bulk charge transport stays integer.
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Generation of an anomalous linearly dispersing spin-polarized band in Bi-based topological insulators
Soft Ar-ion bombardment plus annealing generates an anomalous linearly dispersing spin-polarized band spanning up to 650 meV with opposite helicity to the topological surface state in Bi-based TI films.
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Genus-protected higher-order topological phases
Higher-order topological phases can be protected solely by the bulk gap, fundamental symmetries, and the global topology of the system shape via its genus, independent of crystalline symmetries.
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Quantum phase diagrams for bosons in hexagonal optical potentials: A continuous-space quantum Monte Carlo study
Continuous-space quantum Monte Carlo shows that in honeycomb optical lattices, density-assisted tunneling suppresses higher Mott lobes, making the standard Bose–Hubbard model inaccurate even for deep lattices.
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Metalization of topological insulators
Impurity-scattering-induced coherence decay produces finite longitudinal conductivity in Berry-curvature-dominated topological insulators without Fermi-level carriers, with linear impurity scaling and 1/T temperature dependence.
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Magnetononlinear Hall effect from multigap topology in metal-organic frameworks
Non-Abelian multigap topology with Euler class invariants in kagome NHC MOFs induces a controllable magnetononlinear Hall effect.
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Bismuth Films on EuO(111) as a Platform for Proximity-Induced Topological States
Epitaxial bilayer bismuth on EuO(111) forms a stabilized alpha-phase bismuthene with a robust 400 meV gap and boundary-localized states consistent with a room-temperature quantum spin Hall phase.
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Orbital glass conceals missing magnetic entropy in a relativistic Mott insulator
Short-range orbital glass order above the magnetic transition in Ba2NaOsO6 forms a nematic state that induces magnetism and conceals the expected magnetic entropy.
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Localization and Flat Bands in Bond-Inflated Lattices
In bond-inflated lattices, flat bands arise from chain modes, chiral imbalance, and junction states; random inflation preserves a zero-energy peak whose size is approximated by the graph matching deficiency.
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Light-Matter-Coupling formalism for magnons: probing quantum geometry with light
Light-matter coupling expansion of the magnon Hamiltonian yields the Fleury-Loudon Raman vertex, directly connecting Raman circular dichroism to magnon band Berry curvature.
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Symmetry Protected Bulk-Boundary Correspondence in Interacting Topological Insulators
A many-body winding invariant based on Pancharatnam phases uniquely determines the 4^ν entanglement-spectrum degeneracy scaling in interacting generalized SSH chains, establishing symmetry-protected bulk-boundary correspondence.
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Fermionic Casimir effect in an axial Lorentz-violating background
The renormalized fermionic Casimir energy between parallel plates is modified only by the normal component of the axial background vector b_z, which combines with the timelike b_0 into a single effective spectral parameter in a closed logarithmic integral representation.
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Bulk-dissociated topological bands without spin-orbit coupling in hetero-dimensional superconducting metamaterials
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One-dimensional topology and topolectrics of nonsymmorphic Kramers degenerate systems
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Quantum Tunneling-induced Hybridization and Coherent Dynamics of Jackiw-Rebbi Zero Modes in a Modified Su-Schrieffer-Heeger Chain
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Covariant formulation of the Berry connection in non-Hermitian systems
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Topological enhancement of a PT-symmetric Su-Schrieffer-Heeger quantum battery
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