Localization−delocalization transitions in non-Hermitian Aharonov−Bohm cages
作者机构：School of Physics and OptoelectronicsSouth China University of TechnologyGuangzhou 510640China
出 版 物：《Frontiers of physics》 (物理学前沿（英文版）)
年 卷 期：2024年第19卷第3期
页 面：39-50页
核心收录：
学科分类：07[理学] 0701[理学-数学] 0702[理学-物理学] 070101[理学-基础数学]
基 金：T.L.acknowledges the support from the Fundamental Research Funds for the Central Universities(Grant No.2023ZYGXZR020) the Introduced Innovative Team Project of Guangdong Pearl River Talents Program(Grant No.2021ZT09Z109) the Startup Grant of South China University of Technology(Grant No.20210012)
主 题：non-Hermitian skin effects disorder flat band localization−delocalization transition
摘 要：A unique feature of non-Hermitian systems is the extreme sensitivity of the eigenspectrum to boundary conditions with the emergence of the non-Hermitian skin effect (NHSE). A NHSE originates from the point-gap topology of complex eigenspectrum, where an extensive number of eigenstates are anomalously localized at the boundary driven by nonreciprocal dissipation. Two different approaches to create localization are disorder and flat-band spectrum, and their interplay can lead to the anomalous inverse Anderson localization, where the Bernoulli anti-symmetric disorder induces mobility in a full-flat band system in the presence of Aharonov−Bohm (AB) Cage. In this work, we study the localization−delocalization transitions due to the interplay of the point-gap topology, flat band and correlated disorder in the one-dimensional rhombic lattice, where both its Hermitian and non-Hermitian structures show AB cage in the presence of magnetic flux. Although it remains the coexistence of localization and delocalization for the Hermitian rhombic lattice in the presence of the random anti-symmetric disorder, it surprisingly becomes complete delocalization, accompanied by the emergence of NHSE. To further study the effects from the Bernoulli anti-symmetric disorder, we found the similar NHSE due to the interplay of the point-gap topology, correlated disorder and flat bands. Our anomalous localization−delocalization property can be experimentally tested in the classical physical platform, such as electrical circuit.
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