A non-Bloch framework is established for nonlinear eigenvalue problems to reproduce open-boundary spectra and reveal unique phenomena plus topological correspondence.
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Stochastic noise constructively enhances edge self-healing in non-Hermitian systems: weak noise aligns finite-time Lyapunov exponents to prolong healing, while strong noise induces effective non-unitary drift-diffusion for universal asymptotic recovery.
The non-Hermitian skin effect originates from spectral instability and non-reciprocity instead of point-gap winding of the Bloch Hamiltonian.
Non-Hermitian knot topology exhibits first-order transitions that mirror Hermitian topological phase transitions when singular values are matched to Hermitian eigenvalues, without exceptional points.
Derives discretely spaced complex spectra and biorthogonal eigenstates for non-Hermitian Landau levels under complex magnetic fields, confirmed via a Harper-Hofstadter lattice model.
Graded hopping screens nonreciprocity in a non-Hermitian Stark chain by turning exponential skin factors into algebraic accumulation via similarity transformation and sets a Stark threshold at |F1|=2|F2|.
Z2 skin channels in non-Hermitian systems with ATRS exhibit circulations that imply quantum revivals and scale-dependent effective DQPTs distinct from conventional ones.
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.
In the non-Hermitian Kitaev chain, preserved particle-hole symmetry makes the open-chain topological transition coincide with the periodic one and forces zero-energy Majorana modes to appear as reciprocal localization pairs that cancel the non-Hermitian skin effect.
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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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.