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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Anyonic exchange statistics induces non-Hermitian point-gap topology and skin effects in bound states of a 1D dissipative ladder model that is trivial without statistics.
Mobile exceptional points under cyclic modulation partition the Brillouin zone into switching domains that control band permutation after each cycle.
Fractional winding numbers in open quantum systems recover integer quantization over multiple momentum periods.
Successive quantum feedback control with non-adaptive bare measurements collapses to the ten AZ† symmetry classes that dictate topology of CPTP maps, demonstrated via quantized winding numbers in a chiral demon and an explicit protocol outside the classes.
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.
Minimal pseudo-Lorentz-symmetry-breaking Hamiltonian deformations act as bulk probes that separate renormalizable observables from those carrying irreducible non-Hermitian structure in two-dimensional Dirac semimetals with real spectra.
Non-Hermiticity induces fractional topological phases in nonlinear Thouless pumping of a Rice-Mele model, explained through auxiliary eigenvalue equations that connect nonlinear spectra to bulk-boundary correspondence.
Bipartite non-Hermitian lattices support exceptional flat bands that arise from sublattice degeneracy mismatch and persist beyond exceptional points with biorthogonal modes spanning both sublattices.
A review summarizing theoretical and experimental progress on disorder-induced topological phases including TAIs, quasiperiodic extensions, non-Hermitian systems, and many-body realizations.
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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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Anyon-induced non-Hermitian topological phases
Anyonic exchange statistics induces non-Hermitian point-gap topology and skin effects in bound states of a 1D dissipative ladder model that is trivial without statistics.
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Mobile Exceptional Points Generate Momentum-Space Switching Domains
Mobile exceptional points under cyclic modulation partition the Brillouin zone into switching domains that control band permutation after each cycle.
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Fractional topology and multi-period re-quantization in open quantum systems
Fractional winding numbers in open quantum systems recover integer quantization over multiple momentum periods.
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Symmetry and Topology of Successive Quantum Feedback Control
Successive quantum feedback control with non-adaptive bare measurements collapses to the ten AZ† symmetry classes that dictate topology of CPTP maps, demonstrated via quantized winding numbers in a chiral demon and an explicit protocol outside the classes.
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Designing topological edge currents in chiral active matter
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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Minimal Hamiltonian deformations as bulk probes of effective non-Hermiticity in Dirac materials
Minimal pseudo-Lorentz-symmetry-breaking Hamiltonian deformations act as bulk probes that separate renormalizable observables from those carrying irreducible non-Hermitian structure in two-dimensional Dirac semimetals with real spectra.
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Nonreciprocity Induced Fractional Nonlinear Thouless Pumping
Non-Hermiticity induces fractional topological phases in nonlinear Thouless pumping of a Rice-Mele model, explained through auxiliary eigenvalue equations that connect nonlinear spectra to bulk-boundary correspondence.
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Exceptional flat bands in bipartite non-Hermitian lattices
Bipartite non-Hermitian lattices support exceptional flat bands that arise from sublattice degeneracy mismatch and persist beyond exceptional points with biorthogonal modes spanning both sublattices.
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Recent progress on disorder-induced topological phases
A review summarizing theoretical and experimental progress on disorder-induced topological phases including TAIs, quasiperiodic extensions, non-Hermitian systems, and many-body realizations.