Non-Hermitian Maryland model
Non-Hermitian Maryland model
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DOI：
10.1103/physrevb.103.224206
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发表时间：
2021-06
影响因子：
3.7
通讯作者：
S. Longhi
中科院分区：
文献类型：
--
作者：
S. Longhi
具有非周期序的非厄米系统显示出超越厄米物理范式的相变。不幸的是，由于势的不可积性，大多数已知的非厄米模型是不可积的。这激发了对精确可解模型的搜索，其中本地化/离域相变，复杂平面中的流动性边缘及其拓扑性质可以被解开。本文提出了一个精确可解的准晶体模型，它是Grempel提出的一个著名的量子混沌可积模型的非微扰非厄米特推广。[Phys. Rev. Lett. {\bf 49}，833（1982）]并被称为马里兰州模式。与Hermitian马里兰州模型相反，它的非Hermitian扩展显示了更丰富的场景，通过复杂的能量平面中的拓扑迁移率边的局域化-离域相变。
Non-Hermitian systems with aperiodic order display phase transitions that are beyond the paradigm of Hermitian physics. Unfortunately, owing to the incommensurability of the potential most of known non-Hermitian models are not integrable. This motivates the search for exactly solvable models, where localization/delocalization phase transitions, mobility edges in complex plane and their topological nature can be unraveled. Here we present an exactly solvable model of quasi crystal, which is a non-pertrurbative non-Hermitian extension of a famous integrable model of quantum chaos proposed by Grempel {\it at al.} [Phys. Rev. Lett. {\bf 49}, 833 (1982)] and dubbed the Maryland model. Contrary to the Hermitian Maryland model, its non-Hermitian extension shows a richer scenario, with a localization-delocalization phase transition via topological mobility edges in complex energy plane.