Energy-resolved eigenmode spectroscopy in frequency synthetic dimensions reveals boundary-localized skin states in 1D and 2D non-Hermitian lattices with energy-dependent displacement and tunable directional transport.
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In a minimal non-reciprocal graphene model, quantum capacitance scales as (1 - β²)^{-1} near the exceptional point, offering an equilibrium thermodynamic signature of non-Hermiticity.
Skin effects in non-Hermitian Luttinger liquids fractionalize by symmetry, producing decoupled spin and charge skin modes at low energies plus an interaction-enabled E8 skin effect absent in free fermions.
Derives discretely spaced complex spectra and biorthogonal eigenstates for non-Hermitian Landau levels under complex magnetic fields, confirmed via a Harper-Hofstadter lattice model.
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.
citing papers explorer
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Energy-Resolved Eigenmode Spectroscopy of 1-D and 2-D Non-Hermitian Skin Effects
Energy-resolved eigenmode spectroscopy in frequency synthetic dimensions reveals boundary-localized skin states in 1D and 2D non-Hermitian lattices with energy-dependent displacement and tunable directional transport.
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Thermodynamic signatures of non-Hermiticity in Dirac materials via quantum capacitance
In a minimal non-reciprocal graphene model, quantum capacitance scales as (1 - β²)^{-1} near the exceptional point, offering an equilibrium thermodynamic signature of non-Hermiticity.
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Symmetry-Fractionalized Skin Effects in Non-Hermitian Luttinger Liquids
Skin effects in non-Hermitian Luttinger liquids fractionalize by symmetry, producing decoupled spin and charge skin modes at low energies plus an interaction-enabled E8 skin effect absent in free fermions.
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Non-Hermitian Landau Levels
Derives discretely spaced complex spectra and biorthogonal eigenstates for non-Hermitian Landau levels under complex magnetic fields, confirmed via a Harper-Hofstadter lattice model.
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Symmetry and Topology in a Non-Hermitian Kitaev chain
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.