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The Aubry-Andr\'e-Harper model provides a paradigmatic example of aperiodic order in a one-dimensional lattice displaying a delocalization-localization phase transition at a finite critical value $V_c$ of the quasiperiodic potential…

无序系统与神经网络 · 物理学 2021-03-29 Stefano Longhi

We study if periodic driving of a model with a quasiperiodic potential can generate interesting Floquet phases which have no counterparts in the static model. Specifically, we consider the Aubry-Andr\'e model which is a one-dimensional…

无序系统与神经网络 · 物理学 2023-01-18 Sreemayee Aditya , K. Sengupta , Diptiman Sen

We study the localization transitions for coupled one-dimensional lattices with quasiperiodic potential. Besides the localized and extended phases there is an intermediate mixed phase which can be easily explained decoupling the system so…

无序系统与神经网络 · 物理学 2019-05-21 M. Rossignolo , L. Dell'Anna

In a class of periodically driven systems, multifractal states in non-equilibrium conditions and robustness of dynamical localization when the driving is made aperiodic have received considerable attention. In this paper, we explore a…

无序系统与神经网络 · 物理学 2023-11-10 Wen Chen , Pedro D. Sacramento , Rubem Mondaini

We study localization in a one-dimensional quasiperiodic lattice obtained by extending the Aubry-Andr\'e model with an additional $N$th-neighbor hopping term of strength $J_{N}$. This long-range tunneling couples successive windings of an…

无序系统与神经网络 · 物理学 2026-05-19 Taylan Yildiz , B. Tanatar , Balázs Hetényi

The single particle eigenstates of the Aubry-Andr\'e-Harper model are known to show a delocalization-localization transition at a finite strength of the quasi-periodic disorder. In this work, we point out that an intimate relationship…

强关联电子 · 物理学 2019-12-03 Nilanjan Roy , Auditya Sharma

Quasiperiodic systems host exotic transport regimes that are distinct from those found in periodic or disordered lattices. In this work, we study quantum transport in the Aubry-Andr\'e-Harper lattice in a two-terminal setup coupled to…

介观与纳米尺度物理 · 物理学 2026-01-16 Jinyuan Shang , Haiping Hu

We investigate quantum transport in an off-diagonal Aubry--Andr\'e--Harper chain. The periodic hopping modulation generates effective internal boundaries that strongly influence the transmission characteristics. We show that edge, in-band…

介观与纳米尺度物理 · 物理学 2026-04-30 Moumita Patra

We investigate generalized Aubry-Andr\'{e} models featuring tunable quasidisordered potentials and a mobility edge that separates extended and localized states, with critical states for the mobility edge confirmed through finite-size…

无序系统与神经网络 · 物理学 2025-08-12 Feng Lu , Ao Zhou , Shujie Cheng , Gao Xianlong

We study the combined effect of quasiperiodic disorder, driven and interaction in the periodically kicked Aubry-Andr\'{e} model. In the non-interacting limit, by analyzing the quasienergy spectrum statistics, we verify the existence of a…

无序系统与神经网络 · 物理学 2022-08-26 Yu Zhang , Bozhen Zhou , Haiping Hu , Shu Chen

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…

无序系统与神经网络 · 物理学 2022-11-30 Antonio Štrkalj , Elmer V. H. Doggen , Claudio Castelnovo

We investigate the localization properties of a spin chain with an antiferromagnetic nearest-neighbour coupling, subject to an external quasiperiodic on-site magnetic field. The quasiperiodic modulation interpolates between two paradigmatic…

无序系统与神经网络 · 物理学 2021-09-22 Antonio Štrkalj , Elmer V. H. Doggen , Igor V. Gornyi , Oded Zilberberg

We investigate the nonequilibrium dynamics of the one-dimension Aubry-Andr\'{e}-Harper model with $p$-wave superconductivity by changing the potential strength with slow and sudden quench. Firstly, we study the slow quench dynamics from…

无序系统与神经网络 · 物理学 2021-03-17 Xianqi Tong , Yeming Meng , Xunda Jiang , Chaohong Lee , Gentil Dias de Moraes Neto , Gao Xianlong

We have incorporated spin-orbit coupling into the Aubry-Andre model of tight-binding electron motion in the presence of periodic potential with a period incommensurate with lattice constant. This model is known to exhibit an insulator-metal…

介观与纳米尺度物理 · 物理学 2018-07-04 Rajesh. K. Malla , M. E. Raikh

We demonstrate the existence of exact atypical many-body eigenstates in a class of disordered, interacting one-dimensional quantum systems that includes the Fermi-Hubbard model as a special case. These atypical eigenstates, which…

强关联电子 · 物理学 2019-07-18 Thomas Iadecola , Marko Znidaric

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…

量子物理 · 物理学 2021-03-31 Ling-Zhi Tang , Guo-Qing Zhang , Ling-Feng Zhang , Dan-Wei Zhang

The many-body localization transition in quasiperiodic systems has been extensively studied in recent ultracold atom experiments. At intermediate quasiperiodic potential strength, a surprising Griffiths-like regime with slow dynamics…

强关联电子 · 物理学 2019-12-25 Shenglong Xu , Xiao Li , Yi-Ting Hsu , Brian Swingle , Sankar Das Sarma

We study the high temperature transport behavior of the Aubry-Andr\'e-Harper (AAH) model, both in the isolated thermodynamic limit and in the open system. At the critical point of the AAH model, we find hints of super-diffusive behavior…

介观与纳米尺度物理 · 物理学 2018-05-30 Archak Purkayastha , Sambuddha Sanyal , Abhishek Dhar , Manas Kulkarni

We investigate the nonequilbrium dynamics of entanglement entropy and out-of-time-order correlator (OTOC) of noninteracting fermions at half-filling starting from a product state to distinguish the delocalized, multifractal (in the limit of…

强关联电子 · 物理学 2021-07-06 Nilanjan Roy , Auditya Sharma

A recent experiment by P. Bordia et al. (Periodically Driving a Many Body Localized Quantum System, Nat Phys, Jan 2017) has demonstrated that periodically modulating the potential of a localised many-body quantum system described by the…

量子物理 · 物理学 2018-07-31 Donato Romito , Carlos Lobo , Alessio Recati
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