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In this paper, the interplay of the non-Herimiticity and the cascade of delocalization transition in the quasi-periodic chain is studied. The study is applied in a non-Hermitian interpolating Aubry-Andr{\'e}-Fibonacci (IAAF) model, which…

Disordered Systems and Neural Networks · Physics 2021-07-07 Liang-Jun Zhai , Guang-Yao Huang , Shuai Yin

We investigate the localization and topological transitions in a one-dimensional (interacting) non-Hermitian quasiperiodic lattice, which is described by a generalized Aubry-Andr\'{e}-Harper model with irrational modulations in the…

Quantum Physics · Physics 2021-03-31 Ling-Zhi Tang , Guo-Qing Zhang , Ling-Feng Zhang , Dan-Wei Zhang

We investigate a generalized Aubry-Andr\'{e}-Harper (AAH) model with non-reciprocal hopping and power-law quasiperiodic potentials $V(i) = V\left[ \cos(2\pi \beta i) \right]^p$. Our study reveals that the interplay between nonreciprocity,…

Disordered Systems and Neural Networks · Physics 2025-11-18 Ya-Nan Wang , Wen-Long You , Zhihao Xu , Gaoyong Sun

Non-Hermitian effects could create rich dynamical and topological phase structures. In this work, we show that the collaboration between lattice dimerization and non-Hermiticity could generally bring about mobility edges and multiple…

Disordered Systems and Neural Networks · Physics 2022-02-18 Wenqian Han , Longwen Zhou

We investigate localization transition in an open quasiperiodic ladder where the quasiperiodicity is described by the Aubry-Andr\'e-Harper model. While previous studies have shown that higher-order hopping or constrained quasiperiodic…

Mesoscale and Nanoscale Physics · Physics 2025-11-13 Suparna Sarkar , Soumya Satpathi , Swapan K. Pati

We investigate the localisation properties of quasiperiodic tight-binding chains with hopping terms modulated by the interpolating Aubry-Andr\'e-Fibonacci (IAAF) function. This off-diagonal IAAF model allows for a smooth and controllable…

Disordered Systems and Neural Networks · Physics 2024-06-21 Hugo Tabanelli , Claudio Castelnovo , Antonio Štrkalj

We study localization in a quasiperiodic spinful antiferromagnetic Hubbard ring within a self-consistent Hartree-Fock framework, emphasizing the interplay of quasiperiodicity, staggered Zeeman-field-induced antiferromagnetic order, and…

Mesoscale and Nanoscale Physics · Physics 2026-04-01 Souvik Roy , Ranjini Bhattacharya

Anderson localization physics features three fundamental types of eigenstates: extended, localized, and critical, with the third one exhibiting the exotic properties in-between the former two. Confirming the presence of critical states is…

Conduction through materials crucially depends on how ordered they are. Periodically ordered systems exhibit extended Bloch waves that generate metallic bands, whereas disorder is known to limit conduction and localize the motion of…

Disordered Systems and Neural Networks · Physics 2020-08-26 V. Goblot , A. Štrkalj , N. Pernet , J. L. Lado , C. Dorow , A. Lemaître , L. Le Gratiet , A. Harouri , I. Sagnes , S. Ravets , A. Amo , J. Bloch , O. Zilberberg

We analyze the localization behavior in a non-Hermitian system subject to a quasiperiodic onsite potential. We characterize localization transitions using multiple quantitative indicators, including inverse participation ratio (IPR),…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Yu-Peng Wang , Chuo-Kai Chang , Ryo Okugawa , Chen-Hsuan Hsu

We predict a re-entrant topological transition in a one dimensional non-Hermitian quasiperiodic lattice. By considering a non-Hermitian generalized Aubry-Andr\'e-Harper (AAH) model with quasiperiodic potential, we show that the system first…

Quantum Gases · Physics 2023-06-21 Ashirbad Padhan , Soumya Ranjan Padhi , Tapan Mishra

Non-Hermitian quasicrystals possess PT and metal-insulator transitions induced by gain and loss or nonreciprocal effects. In this work, we uncover the nature of localization transitions in a generalized Aubry-Andre-Harper model with…

Disordered Systems and Neural Networks · Physics 2021-08-20 Longwen Zhou , Wenqian Han

We study a non-Hermitian Aubry-Andr\'e-Harper model with both nonreciprocal hoppings and complex quasiperiodical potentials, which is a typical non-Hermitian quasicrystal. We introduce boundary-dependent self-dualities in this model and…

Disordered Systems and Neural Networks · Physics 2021-01-20 Xiaoming Cai

We investigate the influence of quasiperiodic modulations on one-dimensional non-Hermitian diamond lattices with an artificial magnetic flux $\theta$ that possess flat bands. Our study shows that the symmetry of these modulations and the…

Disordered Systems and Neural Networks · Physics 2024-10-17 Hui Liu , Zhanpeng Lu , Xu Xia , Zhihao Xu

We explore the critical properties of the localization transition in the non-Hermitian Aubry-Andre-Stark (AAS) model with quasiperiodic and Stark potentials, where the non-Hermiticity comes from the nonreciprocal hopping. The localization…

Quantum Physics · Physics 2025-05-29 Ji-Long Dong , En-Wen Liang , Shi-Yang Liu , Guo-Qing Zhang , Ling-Zhi Tang , Dan-Wei Zhang

We propose a flexible Raman lattice system for alkaline-earth-like atoms to theoretically investigate localization behaviors in a quasi-periodic lattice with controllable non-Hermiticity. Our analysis demonstrates that critical phases and…

Quantum Gases · Physics 2026-02-11 Entong Zhao , Yu-Jun Liu , Ka Kwan Pak , Peng Ren , Mengbo Guo , Chengdong He , Gyu-Boong Jo

Quasiperiodic systems are known to exhibit localization transitions in low dimensions, wherein all electronic states become localized beyond a critical disorder strength. Interestingly, recent studies have uncovered a reentrant localization…

Disordered Systems and Neural Networks · Physics 2025-09-04 Sourav Karmakar , Sudin Ganguly , Santanu K. Maiti

We study the non-Hermitian Aubry-Andr\'e-Harper model, incorporating complex phase modulation, unmodulated and modulated nonreciprocal hopping. Using Avila's global theory, we derive analytical phase boundaries and map out the phase…

Disordered Systems and Neural Networks · Physics 2025-01-27 Xianqi Tong , Yiling Zhang , Bin Li , Xiaosen Yang

We study the localization transition in periodically driven one-dimensional non-Hermitian lattices where the piece-wise two-step drive is constituted by uniform coherent tunneling and incommensurate onsite gain and loss. We find that the…

Quantum Physics · Physics 2022-03-14 C. M. Dai , Yunbo Zhang , Xuexi Yi

According to the topological band theory of a Hermitian system, the different electronic phases are classified in terms of topological invariants, wherein the transition between the two phases characterized by a different topological…

Disordered Systems and Neural Networks · Physics 2022-01-24 Aruna Prasad Acharya , Aditi Chakrabarty , Deepak Kumar Sahu , Sanjoy Datta
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