Non-Hermitian quantum fractals

被引：5

作者：

Sun, Junsong ^{[1
]}

Li, Chang-An ^{[2
]}

Guo, Qingyang ^{[1
]}

Zhang, Weixuan ^{[3
]}

Feng, Shiping ^{[4
]}

Zhang, Xiangdong ^{[3
]}

Guo, Huaiming ^{[1
]}

Trauzettel, Bjoern

机构：

[1] Beihang Univ, Sch Phys, Beijing 100191, Peoples R China

[2] Univ Wurzburg, Inst Theoret Phys & Astrophys, D-97074 Wurzburg, Germany

[3] Beijing Inst Technol, Sch Phys, Beijing Key Lab Nanophoton & Ultrafine Optoelectr, Key Lab Adv Optoelect Quantum Architecture & Meas, Beijing 100081, Peoples R China

[4] Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China

来源：

PHYSICAL REVIEW B | 2024年 / 110卷 / 20期

关键词：

POWER; ELECTRONS;

D O I：

10.1103/PhysRevB.110.L201103

中图分类号：

T [工业技术];

学科分类号：

08 ;

摘要：

The first quantum fractal discovered in physics is the Hofstadter butterfly. It stems from large external magnetic fields. We discover instead a class of non-Hermitian quantum fractals (NHQFs) emerging in coupled Hatano-Nelson models on a tree lattice in the absence of any fields. Based on analytic solutions, we are able to rigorously identify the self-similar recursive structures in the energy spectrum and wave functions. We prove that the complex spectrum of NHQFs bears a resemblance to the Mandelbrot set in fractal theory. The self-similarity of NHQFs is rooted in the interplay between the iterative lattice configuration and non-Hermiticity. Moreover, we show that NHQFs exist in generalized non-Hermitian systems with iterative lattice structures. Our findings open another avenue for investigating quantum fractals in non-Hermitian systems.

引用

页数：6

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