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.
Excitonic skin effect
2 Pith papers cite this work. Polarity classification is still indexing.
abstract
We show that strong interactions combined with band-dependent imaginary vector potentials give rise to boundary localization of particle-hole pairs, which we term the excitonic skin effect. In a bilayer system with layer-specific gain/loss and an in-plane magnetic field, excitons experience a net imaginary vector potential, resulting in directional amplification of particle-hole pairs. Including nearest-neighbor interactions leads to a non-Hermitian bosonic Kitaev model, where the pairing effects grow exponentially with the size of the system, revealing a unique form of critical skin effect in interacting systems. Our framework applies to both atomic and electronic platforms and is directly testable in current experiments. These results also provide a route to explore non-Hermitian analogs of tensor gauge fields.
fields
cond-mat.mes-hall 2years
2026 2representative citing papers
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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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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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.