The localization length of the non-Hermitian skin effect is encoded in the quantum metric of right eigenstates, exhibiting power-law divergences at gapless points and discontinuities at cusps of the generalized Brillouin zone.
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A Krylov staggering parameter derived from Lanczos coefficients analytically distinguishes topological phases in the short-range Kitaev model and tracks boundary versus bulk control of the gap in long-range cases.
Local twist operators and a purity-gap-based chiral marker provide practical real-space indicators of topology in finite-temperature mixed states of the SSH model.
A one-dimensional array of periodically modulated defects in scattering states produces tunable emergent topological phases with nontrivial band winding and a stable Thouless charge pump.
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.
Nonsymmorphic 1D four-band models with Kramers degeneracy support Z2 and Z4 invariants computed via extended open-path winding numbers, realized in topolectric circuits whose impedance reproduces phase boundaries and zero-energy modes that remain pinned under minimal disorder.
Topology in a PT-symmetric SSH quantum battery produces an edge exceptional point at smaller gain-loss strength, yielding better transient and long-time charging, stored energy, and extractable work than the trivial configuration.
This is a review summarizing existing extensions of the SSH model to higher dimensions, larger unit cells, and additional terms, with case studies of their topological properties.
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Quantum geometry of the non-Hermitian skin effect
The localization length of the non-Hermitian skin effect is encoded in the quantum metric of right eigenstates, exhibiting power-law divergences at gapless points and discontinuities at cusps of the generalized Brillouin zone.
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Long-Range Pairing in the Kitaev Model: Krylov Subspace Signatures
A Krylov staggering parameter derived from Lanczos coefficients analytically distinguishes topological phases in the short-range Kitaev model and tracks boundary versus bulk control of the gap in long-range cases.
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Characterizing topology at nonzero temperature: Topological invariants and indicators in the extended SSH model
Local twist operators and a purity-gap-based chiral marker provide practical real-space indicators of topology in finite-temperature mixed states of the SSH model.
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Emergent topological phase from a one-dimensional network of defects
A one-dimensional array of periodically modulated defects in scattering states produces tunable emergent topological phases with nontrivial band winding and a stable Thouless charge pump.
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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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One-dimensional topology and topolectrics of nonsymmorphic Kramers degenerate systems
Nonsymmorphic 1D four-band models with Kramers degeneracy support Z2 and Z4 invariants computed via extended open-path winding numbers, realized in topolectric circuits whose impedance reproduces phase boundaries and zero-energy modes that remain pinned under minimal disorder.
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Topological enhancement of a PT-symmetric Su-Schrieffer-Heeger quantum battery
Topology in a PT-symmetric SSH quantum battery produces an edge exceptional point at smaller gain-loss strength, yielding better transient and long-time charging, stored energy, and extractable work than the trivial configuration.
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Exploring topological phases with extended Su-Schrieffer-Heeger models
This is a review summarizing existing extensions of the SSH model to higher dimensions, larger unit cells, and additional terms, with case studies of their topological properties.