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Unifying the Anderson transitions in Hermitian and non-Hermitian systems

Xunlong Luo1,*, Zhenyu Xiao2,†, Kohei Kawabata3,4,‡, Tomi Ohtsuki5,§, and Ryuichi Shindou2,∥

  • 1Science and Technology on Surface Physics and Chemistry Laboratory, Mianyang 621907, China
  • 2International Center for Quantum Materials, Peking University, Beijing 100871, China
  • 3Department of Physics, University of Tokyo, 7-3-1 Hongo, Bunkyo-ku, Tokyo 113-0033, Japan
  • 4Department of Physics, Princeton University, Princeton, New Jersey 08540, USA
  • 5Physics Division, Sophia University, Chiyoda-ku, Tokyo 102-8554, Japan

  • *luoxunlong@pku.edu.cn
  • †wjkxzy@pku.edu.cn
  • ‡kohei.kawabata@princeton.edu
  • §ohtsuki@sophia.ac.jp
  • ∥rshindou@pku.edu.cn

Scaling theory for non-Hermitian topological transitions

Y R Kartik and Ranjith R Kumar

J. Phys.: Condens. Matter 37 125602 (2025)

Non-linear sigma models for non-Hermitian random matrices in symmetry classes AI † and AII †

Anish Kulkarni, Kohei Kawabata, and Shinsei Ryu

J. Phys. A: Math. Theor. 58 225202 (2025)

Impact of non-Hermiticity and nonlinear interactions on disorder-induced localized modes

Bhupesh Kumar, Jonathan Andreasen, and Patrick Sebbah

APL Photonics 10 016107 (2025)

Universal hard-edge statistics of non-Hermitian random matrices

Zhenyu Xiao, Ryuichi Shindou, and Kohei Kawabata

Phys. Rev. Research 6 023303 (2024)

Topological Effect on the Anderson Transition in Chiral Symmetry Classes

Pengwei Zhao, Zhenyu Xiao, Yeyang Zhang, and Ryuichi Shindou

Phys. Rev. Lett. 133 226601 (2024)

Localization transition in non-Hermitian systems depending on reciprocity and hopping asymmetry

Daniil Kochergin, Vasilii Tiselko, and Arsenii Onuchin

Phys. Rev. E 109 044315 (2024)

Effect of uncorrelated on-site scalar potential and mass disorder on transport of two-dimensional Dirac fermions

Arman Duha and Mario F. Borunda

Phys. Rev. B 110 094205 (2024)

From scale-free to Anderson localization: A size-dependent transition

Burcu Yılmaz, Cem Yuce, and Ceyhun Bulutay

Phys. Rev. B 110 214206 (2024)

Berezinskii-Kosterlitz-Thouless-like localization-localization transitions in disordered two-dimensional quantized quadrupole insulators

C. Wang, Wenxue He, Hechen Ren, and X. R. Wang

Phys. Rev. B 109 L020202 (2024)

Symmetry of Open Quantum Systems: Classification of Dissipative Quantum Chaos

Kohei Kawabata, Anish Kulkarni, Jiachen Li, Tokiro Numasawa, and Shinsei Ryu

PRX Quantum 4 030328 (2023)

Singular-Value Statistics of Non-Hermitian Random Matrices and Open Quantum Systems

Kohei Kawabata, Zhenyu Xiao, Tomi Ohtsuki, and Ryuichi Shindou

PRX Quantum 4 040312 (2023)

Entanglement Phase Transition Induced by the Non-Hermitian Skin Effect

Kohei Kawabata, Tokiro Numasawa, and Shinsei Ryu

Phys. Rev. X 13 021007 (2023)

Anisotropic Topological Anderson Transitions in Chiral Symmetry Classes

Zhenyu Xiao, Kohei Kawabata, Xunlong Luo, Tomi Ohtsuki, and Ryuichi Shindou

Phys. Rev. Lett. 131 056301 (2023)

Critical behavior of the Anderson transition in higher-dimensional Bogoliubov–de Gennes symmetry classes

Tong Wang, Zhiming Pan, Keith Slevin, and Tomi Ohtsuki

Phys. Rev. B 108 144208 (2023)

Interactions-disorder duality and critical phenomena in nodal semimetals, dilute gases, and other systems

Shijun Sun and Sergey Syzranov

Phys. Rev. B 108 195132 (2023)

Non-Hermiticity induces localization: Good and bad resonances in power-law random banded matrices

Giuseppe De Tomasi and Ivan M. Khaymovich

Phys. Rev. B 108 L180202 (2023)

Anderson localization transitions in disordered non-Hermitian systems with exceptional points

C. Wang and X. R. Wang

Phys. Rev. B 107 024202 (2023)

Generalized multifractality in two-dimensional disordered systems of chiral symmetry classes

Jonas F. Karcher, Ilya A. Gruzberg, and Alexander D. Mirlin

Phys. Rev. B 107 104202 (2023)

Modified generalized Brillouin zone theory with on-site disorder

Hongfang Liu, Ming Lu, Zhi-Qiang Zhang, and Hua Jiang

Phys. Rev. B 107 144204 (2023)

Metal-insulator transition in a two-dimensional system of chiral unitary class

Jonas F. Karcher, Ilya A. Gruzberg, and Alexander D. Mirlin

Phys. Rev. B 107 L020201 (2023)

Kibble-Zurek scaling in one-dimensional localization transitions

Xuan Bu, Liang-Jun Zhai, and Shuai Yin

Phys. Rev. A 108 023312 (2023)

Non-Hermitian topological phases: principles and prospects

Ayan Banerjee, Ronika Sarkar, Soumi Dey, and Awadhesh Narayan

J. Phys.: Condens. Matter 35 333001 (2023)

Unconventional skin modes in generalized topolectrical circuits with multiple asymmetric couplings

S. M. Rafi-Ul-Islam, Zhuo Bin Siu, Haydar Sahin, Ching Hua Lee, and Mansoor B. A. Jalil

Phys. Rev. Research 4 043108 (2022)

Level statistics of real eigenvalues in non-Hermitian systems

Zhenyu Xiao, Kohei Kawabata, Xunlong Luo, Tomi Ohtsuki, and Ryuichi Shindou

Phys. Rev. Research 4 043196 (2022)

Chiral hinge transport in disordered non-Hermitian second-order topological insulators

C. Wang and X. R. Wang

Phys. Rev. B 106 045142 (2022)

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