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Non-interacting particles in non-Hermitian quasi crystals display localization-delocalization and spectral phase transitions in complex energy plane, that can be characterized by point-gap topology. Here we investigate the spectral and…

Quantum Physics · Physics 2025-04-10 Stefano Longhi

Non-Hermitian phenomena, such as exceptional points, non-Hermitian skin effects, and topologically nontrivial phases have attracted continued attention. In this work, we reveal how interactions and nonreciprocal hopping could collectively…

Disordered Systems and Neural Networks · Physics 2025-03-04 Yalun Zhang , Longwen Zhou

Non-Hermitian quasicrystal constitutes a unique class of disordered open system with PT-symmetry breaking, localization and topological triple phase transitions. In this work, we uncover the effect of quantum correlation on phase…

Quantum Physics · Physics 2024-02-23 Tian Qian , Yongjian Gu , Longwen Zhou

We investigate localization-delocalization transition in one-dimensional non-Hermitian quasiperiodic lattices with exponential short-range hopping, which possess parity-time ($\mathcal{PT}$) symmetry. The localization transition induced by…

Disordered Systems and Neural Networks · Physics 2020-05-27 Yanxia Liu , Xiang-Ping Jiang , Junpeng Cao , Shu Chen

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 localization behavior of two-particle Hubbard model in the presence of non-reciprocal tunneling and non-Hermitian bound states can be obtained with strong repulsive interaction. Remarkably, the interaction induced bound…

Quantum Physics · Physics 2025-02-10 Huan-Yu Wang , Ji Li , Wu-Ming Liu , Lin Wen , Xiao-Fei Zhang

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

Quasicrystals are long-range ordered but not periodic, representing an interesting middle ground between order and disorder. We experimentally and numerically study the ground state of non- and weakly-interacting bosons in an eightfold…

Non-Hermitian effects could trigger spectrum, localization and topological phase transitions in quasiperiodic lattices. We propose a non-Hermitian extension of the Maryland model, which forms a paradigm in the study of localization and…

Quantum Physics · Physics 2022-01-13 Longwen Zhou , Yongjian Gu

Non-Hermiticity from non-reciprocal hoppings has been shown recently to demonstrate the non-Hermitian skin effect (NHSE) under open boundary conditions (OBCs). Here we study the interplay of this effect and the Anderson localization in a…

Mesoscale and Nanoscale Physics · Physics 2019-08-07 Hui Jiang , Li-Jun Lang , Chao Yang , Shi-Liang Zhu , Shu Chen

We propose a general analytic method to study the localization transition in one-dimensional quasicrystals with parity-time ($\mathcal{PT}$) symmetry, described by complex quasiperiodic mosaic lattice models. By applying Avila's global…

Disordered Systems and Neural Networks · Physics 2021-02-03 Yanxia Liu , Yucheng Wang , Xiong-Jun Liu , Qi Zhou , Shu Chen

In one dimension, noninteracting particles can undergo a localization-delocalization transition in a quasiperiodic potential. Recent studies have suggested that this transition transforms into a many-body localization (MBL) transition upon…

Disordered Systems and Neural Networks · Physics 2015-12-09 Ranjan Modak , Subroto Mukerjee

We study a system where the two edges of a non-Hermitian lattice with asymmetric nearest-neighbor hopping are connected with two Hermitian lattices with symmetric nearest-neighbor hopping. In the absence of those Hermitian lattices, the…

Disordered Systems and Neural Networks · Physics 2023-08-11 Ranjan Modak

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

In one-dimensional Hermitian tight-binding models, mobility edges separating extended and localized states can appear in the presence of properly engineered quasi-periodical potentials and coupling constants. On the other hand, mobility…

Disordered Systems and Neural Networks · Physics 2022-07-27 Cem Yuce , Hamidreza Ramezani

Localization in non-Hermitian quasicrystals can differ fundamentally from its Hermitian counterpart when non-reciprocity is spatially disordered. Here we study a one-dimensional non-Hermitian Aubry-Andr\'{e}-Harper chain with a Bernoulli…

Disordered Systems and Neural Networks · Physics 2026-04-21 Guolin Nan , Zhijian Li , Feng Mei , Zhihao Xu

The mobility edge (ME) is a fundamental concept in the Anderson localized systems, which marks the energy separating extended and localized states. Although the ME and localization phenomena have been extensively studied in non-Hermitian…

Disordered Systems and Neural Networks · Physics 2025-09-10 Xiang-Ping Jiang , Zhende Liu , Yayun Hu , Lei Pan

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 theoretically quantum states of two repelling spinless particles in a one-dimensional tight-binding model with simple periodic lattice and open boundary conditions. We demonstrate, that when the particles are not identical, their…

Quantum Physics · Physics 2022-11-29 Alexander N. Poddubny

Time-periodic driving fields could endow a system with peculiar topological and transport features. In this work, we find dynamically controlled localization transitions and mobility edges in non-Hermitian quasicrystals via shaking the…

Quantum Physics · Physics 2021-08-25 Longwen Zhou
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