Non-Hermitian Aubry-André-Harper model with short- and long-range p-wave pairing,Physical Review B

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Non-Hermitian Aubry-André-Harper model with short- and long-range p-wave pairing
Physical Review B ( IF 3.2 ) Pub Date : 2024-09-11 , DOI: 10.1103/physrevb.110.094203
Shaina Gandhi ₁ , Jayendra N. Bandyopadhyay ₁

Affiliation

We investigate a non-Hermitian Aubry-André-Harper model with short-range as well as long-range

p

-wave pairing. Here, the non-Hermiticity is introduced through the on-site potential. A comprehensive analysis of this system's critical aspects, like eigenspectra, topological properties, localization properties, and the transition from real to complex energies, is conducted. Specifically, we observe the emergence of Majorana zero modes in the case of short-range pairing, whereas the massive Dirac modes emerge in the case of long-range pairing. More importantly, for both cases of pairing, we observe double-phase transitions, that is, simultaneous transitions of topological phases and multifractal to localized phases. Additionally, again, for both the ranges of pairing, we identify another double-phase transition, where delocalized (or metallic) to a critical multifractal state transition is accompanied by an unconventional shift from real to complex energies. Unlike the short-range pairing case, we observe mobility edges in the case of the long-range pairing.

中文翻译：

具有短程和长程 p 波配对的非厄米特 Aubry-André-Harper 模型

我们研究非厄米特奥布里-安德烈-哈尔

p

er 模型具有短程和长程 p 波配对。这里，非厄米性是通过现场势引入的。对该系统的关键方面（如本征谱、拓扑特性、局域化特性以及从实能到复能的转变）进行了全面分析。具体来说，我们观察到在短程配对的情况下出现马约拉纳零模式，而在长程配对的情况下出现大量狄拉克模式。更重要的是，对于这两种配对情况，我们观察到双相变，即拓扑相和多重分形到局部相的同时转变。此外，对于这两个配对范围，我们还确定了另一种双相变，其中离域（或金属）到临界多重分形状态的转变伴随着从实能到复杂能量的非常规转变。与短距离配对情况不同，我们在长距离配对情况下观察到移动边缘。

更新日期：2024-09-11

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