{"title":"非ermitian Aharonov-Bohm 笼中的局域化-非局域化转变","authors":"Xiang Li, Jin Liu, Tao Liu","doi":"10.1007/s11467-024-1412-9","DOIUrl":null,"url":null,"abstract":"<div><p>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 eigen-states 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.\n</p><div><figure><div><div><picture><source><img></source></picture></div></div></figure></div></div>","PeriodicalId":573,"journal":{"name":"Frontiers of Physics","volume":"19 3","pages":""},"PeriodicalIF":6.5000,"publicationDate":"2024-05-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Localization–delocalization transitions in non-Hermitian Aharonov–Bohm cages\",\"authors\":\"Xiang Li, Jin Liu, Tao Liu\",\"doi\":\"10.1007/s11467-024-1412-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>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 eigen-states 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. 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引用次数: 0
摘要
非赫米提系统的一个独特特征是其特征谱对边界条件极其敏感,并出现非赫米提趋肤效应(NHSE)。NHSE 源自复杂特征谱的点隙拓扑,在这种拓扑中,大量特征状态在非互易耗散的驱动下异常地局部化在边界上。产生局域化的两种不同方法是无序和平带谱,它们之间的相互作用会导致反常的反安德森局域化,即在阿哈诺夫-玻姆(AB)笼存在的情况下,伯努利反对称无序会诱导全平带系统中的流动性。在这项研究中,我们研究了一维菱形晶格中的点隙拓扑、平带和相关无序相互作用引起的局部化-非局部化转变,在磁通存在的情况下,菱形晶格的赫米特结构和非赫米特结构都显示出 AB 笼。虽然赫米蒂菱形晶格在存在随机反对称无序的情况下仍然是局域化和脱局域化并存,但令人惊讶的是它变成了完全脱局域化,并伴随着 NHSE 的出现。为了进一步研究伯努利反对称无序的影响,我们发现点隙拓扑、相关无序和平带的相互作用也会导致类似的 NHSE。我们的反常局域化-去局域化特性可以在电路等经典物理平台上进行实验检验。
Localization–delocalization transitions in non-Hermitian Aharonov–Bohm cages
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 eigen-states 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.
期刊介绍:
Frontiers of Physics is an international peer-reviewed journal dedicated to showcasing the latest advancements and significant progress in various research areas within the field of physics. The journal's scope is broad, covering a range of topics that include:
Quantum computation and quantum information
Atomic, molecular, and optical physics
Condensed matter physics, material sciences, and interdisciplinary research
Particle, nuclear physics, astrophysics, and cosmology
The journal's mission is to highlight frontier achievements, hot topics, and cross-disciplinary points in physics, facilitating communication and idea exchange among physicists both in China and internationally. It serves as a platform for researchers to share their findings and insights, fostering collaboration and innovation across different areas of physics.