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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

Universality classes of Anderson localization transitions in disordered three-dimensional non-Hermitian systems with exceptional points

C. Wang and X. R. Wang

The Journal of Chemical Physics 164 024102 (2026)

Universal Thouless relations for disordered non–Hermitian systems in one dimension

Konghao Sun and Haiping Hu

Science Bulletin 71 3298 (2026)

Skin-Anderson localization transitions in disordered hybrid-nonreciprocal systems

Chen Wang, X. R. Wang, and Hechen Ren

Quantum Front 5 8 (2026)

Localization with non-Hermitian off-diagonal disorder

Aitijhya Saha and Debraj Rakshit

Physica B: Condensed Matter 726 418289 (2026)

Evolving disorder in non-Hermitian lattices

I. Komis, E. T. Kokkinakis, K. G. Makris, and E. N. Economou

Phys. Rev. Research 8 023227 (2026)

Influence of local connectivity on the Anderson transition beyond bandwidth broadening

Mohammed Zahid Malik and Raja Ghosh

Phys. Rev. B 114 134201 (2026)

Non-Hermitian jumps in PT -symmetric disordered systems

Yongqi Han, Ying Zhou, and Kunkun Wang

Phys. Rev. B 114 144302 (2026)

Non-Hermitian off-diagonal disordered optical lattices

E. T. Kokkinakis, I. Komis, K. G. Makris, and E. N. Economou

Phys. Rev. B 113 174210 (2026)

Anisotropic Anderson localization in higher-dimensional nonreciprocal lattices

Jinyuan Shang and Haiping Hu

Phys. Rev. B 113 L180201 (2026)

Non-Hermitian impurity problem

Emmanouil T. Kokkinakis, Ioannis Komis, Konstantinos G. Makris, and Eleftherios N. Economou

Commun Phys 9 152 (2026)

Phase transitions in Hatano–Nelson lattice chains with periodically modulated disorder

Ba Phi Nguyen

Phys. Scr. 100 105929 (2025)

Universal Non-Hermitian Transport in Disordered Systems

Bo Li, Chuan Chen, and Zhong Wang

Phys. Rev. Lett. 135 033802 (2025)

Unified One-Parameter Scaling Function for Anderson Localization Transitions in Nonreciprocal Non-Hermitian Systems

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

Phys. Rev. Lett. 134 176301 (2025)

Spreading dynamics in the Hatano-Nelson model

Jinyuan Shang and Haiping Hu

Phys. Rev. B 112 014205 (2025)

Characterizing phase transitions and criticality in non-Hermitian extensions of the XY model

D. C. Liu and Murray T. Batchelor

Phys. Rev. B 112 014422 (2025)

Theory of Anderson transition in three-dimensional chiral symmetry classes: Connection to type-II superconductors

Pengwei Zhao and Ryuichi Shindou

Phys. Rev. B 112 174203 (2025)

One-parameter scaling function for Anderson localization transitions in high-dimensional lattices with nonreciprocity

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

Phys. Rev. B 112 214206 (2025)

Stark localization near Aubry-André criticality

Ayan Sahoo, Aitijhya Saha, and Debraj Rakshit

Phys. Rev. B 111 024205 (2025)

Field theory of non-Hermitian disordered systems

Ze Chen, Kohei Kawabata, Anish Kulkarni, and Shinsei Ryu

Phys. Rev. B 111 054203 (2025)

Critical properties in the non-Hermitian Aubry-André-Stark model

Ji-Long Dong, En-Wen Liang, Shi-Yang Liu, Guo-Qing Zhang, Ling-Zhi Tang, and Dan-Wei Zhang

Phys. Rev. B 111 174209 (2025)

Dephasing-induced jumps in non-Hermitian disordered lattices

Emmanouil T. Kokkinakis, Konstantinos G. Makris, and Eleftherios N. Economou

Phys. Rev. B 111 214204 (2025)

Topological effect on order-disorder transitions in U(1) sigma models

Ryuichi Shindou and Pengwei Zhao

Phys. Rev. B 111 224507 (2025)

Non-Hermitian delocalization in one dimension via emergent compactness

Liang-Hong Mo, Zhenyu Xiao, Roderich Moessner, and Hongzheng Zhao

Phys. Rev. B 111 235412 (2025)

Universal scaling of Green's functions in disordered non-Hermitian systems

Yin-Quan Huang, Yu-Min Hu, Wen-Tan Xue, and Zhong Wang

Phys. Rev. B 111 L060203 (2025)

Universal spreading dynamics in quasiperiodic non-Hermitian systems

Ze-Yu Xing, Shu Chen, and Haiping Hu

Phys. Rev. B 111 L180203 (2025)

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