Multiple windows of eigenstate-selective delocalization in a non-Hermitian quasiperiodic lattice
Abstract
We investigate localization in a non-Hermitian quasiperiodic lattice with a real quasiperiodic onsite potential of strength W and a staggered imaginary quasiperiodic modulation of strength λ. Using the inverse participation ratio (IPR), normalized participation ratio (NPR), fractal dimension D2, transfer-matrix Lyapunov exponent, and wave-packet dynamics, we find a strongly non-monotonic and state-dependent response. At fixed λ, varying W yields two distinct delocalization windows, whereas varying λ at fixed W produces a single re-entrant delocalization window. These regimes arise within selected eigenstate sectors, where localized states coexist with extended or critical states, leading to mobility-edge-like behavior. The corresponding suppression of the Lyapunov exponent and enhancement of the dynamical RMS spreading are consistent with the IPR, NPR, and D2 results. Finite-size scaling confirms the persistence of the re-entrant features, while the complex-energy spectrum resolves their state-selective structure. The resulting phase boundaries delineate distinct localization regimes in the (W,λ) plane. Our results show that the interplay between quasiperiodicity and a staggered non-Hermitian modulation sharing the same quasiperiodic spatial structure can generate re-entrant, state-dependent localization, with implications for localization and dynamics in non-Hermitian quasiperiodic lattices.
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BibTeX
@misc{roy2026multiple,
title = {{Multiple windows of eigenstate-selective delocalization in a non-Hermitian quasiperiodic lattice}},
author = {Souvik Roy and Santanu K. Maiti},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.03562},
eprint = {2611.03562},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.03562},
}
RIS
TY - UNPB
TI - Multiple windows of eigenstate-selective delocalization in a non-Hermitian quasiperiodic lattice
AU - Souvik Roy
AU - Santanu K. Maiti
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2611.03562
UR - https://arxiv.org/abs/2611.03562
AB - We investigate localization in a non-Hermitian quasiperiodic lattice with a real quasiperiodic onsite potential of strength W and a staggered imaginary quasiperiodic modulation of strength λ. Using the inverse participation ratio (IPR), normalized participation ratio (NPR), fractal dimension D_2, transfer-matrix Lyapunov exponent, and wave-packet dynamics, we find a strongly non-monotonic and state-dependent response. At fixed λ, varying W yields two distinct delocalization windows, whereas varying λ at fixed W produces a single re-entrant delocalization window. These regimes arise within selected eigenstate sectors, where localized states coexist with extended or critical states, leading to mobility-edge-like behavior. The corresponding suppression of the Lyapunov exponent and enhancement of the dynamical RMS spreading are consistent with the IPR, NPR, and D_2 results. Finite-size scaling confirms the persistence of the re-entrant features, while the complex-energy spectrum resolves their state-selective structure. The resulting phase boundaries delineate distinct localization regimes in the (W,λ) plane. Our results show that the interplay between quasiperiodicity and a staggered non-Hermitian modulation sharing the same quasiperiodic spatial structure can generate re-entrant, state-dependent localization, with implications for localization and dynamics in non-Hermitian quasiperiodic lattices.
ER -