Two-dimensional non-Hermitian Su-Schrieffer-Heeger Model

Fuente: arXiv
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Autores principales: Tyagi, Udai Prakash, Goswami, Partha
Formato: Preprint
Publicado: 2024
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author Tyagi, Udai Prakash
Goswami, Partha
author_facet Tyagi, Udai Prakash
Goswami, Partha
contents A particle-hole symmetry protected 2D non-Hermitian Su-Schrieffer-Heeger (SSH) model is investigated. This version differs from the usual Hermitian version by the inclusion of gain and/or loss terms which are represented by complex on-site potentials. The exceptional points occur, when the dimensionless potential magnitude and the hopping amplitudes become close to unity, leading to the coalescence of eigenvalues and nontrivial eigenvector degeneracies. Furthermore, the vectored Zak phase quantization has been obtained and a topolectric RLC circuit has been analysed. If realized experimentally (in photonic and acoustic crystals), the quantization is expected to lead to an extended bulk-boundary correspondence.
format Preprint
id arxiv_https___arxiv_org_abs_2410_04812
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Two-dimensional non-Hermitian Su-Schrieffer-Heeger Model
Tyagi, Udai Prakash
Goswami, Partha
Quantum Physics
Mesoscale and Nanoscale Physics
A particle-hole symmetry protected 2D non-Hermitian Su-Schrieffer-Heeger (SSH) model is investigated. This version differs from the usual Hermitian version by the inclusion of gain and/or loss terms which are represented by complex on-site potentials. The exceptional points occur, when the dimensionless potential magnitude and the hopping amplitudes become close to unity, leading to the coalescence of eigenvalues and nontrivial eigenvector degeneracies. Furthermore, the vectored Zak phase quantization has been obtained and a topolectric RLC circuit has been analysed. If realized experimentally (in photonic and acoustic crystals), the quantization is expected to lead to an extended bulk-boundary correspondence.
title Two-dimensional non-Hermitian Su-Schrieffer-Heeger Model
topic Quantum Physics
Mesoscale and Nanoscale Physics
url https://arxiv.org/abs/2410.04812