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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 propose an one-dimensional generalized Aubry-Andr{\'e}-Harper (AAH) model with off-diagonal hopping and staggered on-site potential. We find that the localization transitions could be multiple reentrant with the increasing of staggered…

Disordered Systems and Neural Networks · Physics 2023-06-05 Rui Qi , Junpeng Cao , Xiang-Ping Jiang

Low dimensional quasiperiodic systems exhibit localization transitions by turning all quantum states localized after a critical quasidisorder. While certain systems with modified or constrained quasiperiodic potential undergo multiple…

Quantum Gases · Physics 2022-06-14 Ashirbad Padhan , Mrinal Kanti Giri , Suman Mondal , Tapan Mishra

The present work explores the potential for observing multiple reentrant localization behavior in a double-stranded helical (DSH) system, extending beyond the conventional nearest-neighbor hopping interaction. The DSH system is considered…

Mesoscale and Nanoscale Physics · Physics 2023-07-11 Sudin Ganguly , Suparna Sarkar , Kallol Mondal , Santanu K. Maiti

Systems with quasiperiodic disorder are known to exhibit localization transition in low dimension. After a critical strength of disorder all the states of the system become localized, thereby ceasing the particle motion in the system.…

Quantum Gases · Physics 2021-03-17 Shilpi Roy , Tapan Mishra , B. Tanatar , Saurabh Basu

Reentrant localization (RL), a recently prominent phenomenon, traditionally links to the interplay of staggered correlated disorder and hopping dimerization, as indicated by prior research. Contrary to this paradigm, our present study…

Disordered Systems and Neural Networks · Physics 2025-02-05 Sudin Ganguly , Sourav Chattopadhyay , Kallol Mondal , Santanu K. Maiti

We study $p$-wave superconducting quasiperiodic chains with staggered potential. The result shows a counter-intuitive phase transition phenomenon, i.e., recurrent extension phase transition (REPT). By analyzing the participation ration and…

Disordered Systems and Neural Networks · Physics 2023-10-17 Shan-Zhong Li , Zhi Li

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

Compared to periodic systems, quasicrystals without translational invariance exhibit unexpected localization properties. The extended-localized transition in quasicrystals has been observed in both quantum and classical wave systems.…

Applied Physics · Physics 2024-06-18 Zhoufei Liu , Pei-Chao Cao , Ying Li , Jiping Huang

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

We study the localization properties of the quasiperiodic one-dimensional helical chain with two tunneling paths: nearest-neighbor and a long-range hop that connects sites of consecutive helical turns. Using exact diagonalization, we…

Disordered Systems and Neural Networks · Physics 2025-12-23 Taylan Yildiz , B. Tanatar

Localization phenomenon is an important research field in condensed matter physics. However, due to the complexity and subtlety of disordered syestems, new localization phenomena always emerge unexpectedly. For example, it is generally…

Disordered Systems and Neural Networks · Physics 2024-07-16 Tong Liu , Xingbo Wei , Youguo Wang

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

Reentrant localization transitions, that is, the transitions of a portion of the eigenspectrum from localized to critical and then again to localized as the disorder strength is increased, have been recently unveiled in various…

Mesoscale and Nanoscale Physics · Physics 2025-01-29 Thomas F. Allard , Guillaume Weick

In their Letter[Phys. Rev. Lett. 126, 106803 (2021)], the authors found an interesting reentrant localization phenomenon in a one-dimensional dimerized lattice with quasiperiodic disorder, i.e., the system undergoes a second localization…

Disordered Systems and Neural Networks · Physics 2021-06-16 Longyan Gong , Hui Lu , Weiwen Cheng

We study the many-body localization (MBL) transition in an 1D exactly solvable system with long-range hopping and quasiperiodic on-site potential introduced in Phys. Rev. Lett. 131, 186303 (2023). Unlike other disorder or quasiperiodic…

Disordered Systems and Neural Networks · Physics 2025-01-09 Haowei Fan , Ke Huang , Xiao Li

Recent studies have revealed reentrant localization transitions in quasi-periodic one-dimensional lattices, where the competition between dimerized hopping and staggered disorder plays a central role. Yet the extent to which such reentrant…

Disordered Systems and Neural Networks · Physics 2025-09-30 Pei-Jie Chang , Dong Ruan , Gui-Lu Long

Whether disordered and quasiperiodic many-body quantum systems host a long-lived localized phase in the thermodynamic limit has been the subject of intense recent debate. While in one dimension substantial evidence for the existence of such…

Disordered Systems and Neural Networks · Physics 2022-11-30 Antonio Štrkalj , Elmer V. H. Doggen , Claudio Castelnovo

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 numerically investigate the localization transition in a one-dimensional system subjected to a composite potential consisting of periodic and quasi-periodic components. For the rational wave vector $\alpha=1/2$, the periodic component…

Disordered Systems and Neural Networks · Physics 2025-08-08 Xingbo Wei
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