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We study topological transport in the steady state of a quantum particle hopping on a one-dimensional lattice in the presence of dissipation. The model exhibits a rich phase structure, with the average particle velocity in the steady state…

介观与纳米尺度物理 · 物理学 2019-03-27 Michael J. Kastoryano , Mark S. Rudner

We study the quantum walk on the off-diagonal Aubry-Andr\'e-Harper (AAH) lattice with periodic modulation using a digital quantum computer. We investigate various initial states at the single-particle level, considering different hopping…

量子物理 · 物理学 2025-08-19 Mrinal Kanti Giri , Sudhindu Bikash Mandal

The robustness of topological properties, such as quantized currents, generally depends on the existence of gaps surrounding the relevant energy levels or on symmetry-forbidden transitions. Here, we observe quantized currents that survive…

介观与纳米尺度物理 · 物理学 2025-08-21 Emmanuel Gottlob , Dan S. Borgnia , Robert-Jan Slager , Ulrich Schneider

Electronic topological phases are renowned for their unique properties, where conducting surface states exist on the boundary of an insulating three-dimensional bulk. While the transport response of the surface states has been extensively…

We report an Aubrey-Andre-Harper (AAH) model based quasi-periodic lossless evanescently coupled waveguide lattice to study the unconventional physics of light localization. We present an exclusive methodical analysis of the band-topology of…

光学 · 物理学 2021-11-24 Suman Dey , Nikhil Ranjan Das , Somnath Ghosh

Excitonic transport in static disordered one dimensional systems is studied in the presence of thermal fluctuations that are described by the Haken-Strobl-Reineker model. For short times, non-diffusive behavior is observed that can be…

介观与纳米尺度物理 · 物理学 2015-05-05 Jeremy M. Moix , Michael Khasin , Jianshu Cao

We predict by first-principles calculations that thin films of Cr-doped (Bi,Sb)$_2$Te$_3$ magnetic topological insulator have gapless non-chiral edge states coexisting with the chiral edge state. Such gapless non-chiral states are not…

介观与纳米尺度物理 · 物理学 2013-08-22 Jing Wang , Biao Lian , Haijun Zhang , Shou-Cheng Zhang

The spectral landscape and the transport property of a translationally invariant network with side-coupled quantum dots are demonstrated within the tight-binding framework. For periodic environment band structure is demonstrated…

介观与纳米尺度物理 · 物理学 2023-03-21 Atanu Nandy

We investigate the spectral and transport properties of a two-arm tight-binding ladder perturbed by an external magnetic field following an Aubry-Andr\'e-Harper profile. The varying magnetic flux trapped in consecutive ladder-cells…

介观与纳米尺度物理 · 物理学 2020-10-05 Sk Sajid , Arunava Chakrabarti

We examine quantum transport in periodic quantum graphs with a vertex coupling non-invariant with respect to time reversal. It is shown that the graph topology may play a decisive role in the conductivity properties illustrating this claim…

数学物理 · 物理学 2020-05-20 Pavel Exner , Jiri Lipovsky

We construct a tight-binding model that hosts both a quasi-periodic nature and marcoscopically-dengenerate zero-energy modes. The model can be regarded as a counterpart of the Aubry-Andr\'{e}-Harper (AAH) model, which is a paradigmatic…

介观与纳米尺度物理 · 物理学 2025-06-11 Tomonari Mizoguchi , Yasuhiro Hatsugai

We present a detailed study of the topological properties of the Kitaev chain with long-range pairing terms and in the presence of an Aubry-Andr\'e-Harper on-site potential. Specifically, we consider algebraically decaying superconducting…

介观与纳米尺度物理 · 物理学 2021-03-01 Joana Fraxanet , Utso Bhattacharya , Tobias Grass , Debraj Rakshit , Maciej Lewenstein , Alexandre Dauphin

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

Off-diagonal Aubry-Andr\'{e} (AA) model has recently attracted a great deal of attention as they provide condensed matter realization of topological phases. We numerically study a generalized off-diagonal AA model with p-wave superfluid…

量子气体 · 物理学 2018-01-17 Tong Liu , Pei Wang , Shu Chen , Gao Xianlong

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

The present work discusses the possibility to realize correlated disorder in electrical circuits and studies the localization phenomena in terms of two-port impedance. The correlated disorder is incorporated using the Aubry-Andr\'{e}-Harper…

无序系统与神经网络 · 物理学 2023-10-16 Sudin Ganguly , Santanu K. Maiti

Nonlinear transport phenomena in condensed matter reflect the geometric nature, quantum coherence, and many-body correlation of electronic states. Electric currents in solids are classified into (i) Ohmic current, (ii) supercurrent, and…

介观与纳米尺度物理 · 物理学 2024-11-01 Hiroki Isobe , Naoto Nagaosa

We investigate a generalized Aubry-Andr\'e-Harper (AAH) model with p-wave superconducting pairing. Both the hopping amplitudes between the nearest neighboring lattice sites and the on-site potentials in this system are modulated by a cosine…

强关联电子 · 物理学 2016-09-26 Qi-Bo Zeng , Shu Chen , Rong Lü

Advances in the next generation of mesoscopic electronics require an understanding of topological phases in inhomogeneous media and the principles that govern them. Motivated by the nature of motifs available in printable conducting inks,…

介观与纳米尺度物理 · 物理学 2026-01-16 Nirnoy Basak , Ritajit Kundu , Basudeb Mondal , Adhip Agarwala

Topological states require the presence of extended bulk states, as usually found in the picture of energy bands and topological states bridging the bulk gaps. But in driven systems this can be circumvented, and one can get topological…

介观与纳米尺度物理 · 物理学 2020-01-08 Esteban A. Rodriguez-Mena , L. E. F. Foa Torres