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The ability to pump quantised amounts of charge is one of the hallmarks of topological materials. An archetypical example is Laughlin's gauge argument for transporting an integer number of electrons between the edges of a quantum Hall…

强关联电子 · 物理学 2020-05-13 Mariya A. Lizunova , Florian Schreck , Cristiane Morais Smith , Jasper van Wezel

In order to transport information with topological protection, we explore experimentally the fast transport time using edge states in one-dimensional Su-Schrieffer-Heeger (SSH) chains. The transport time is investigated in both one- and…

We study electron transport at the edge of a generic disordered two-dimensional topological insulator, where some channels are topologically protected from backscattering. Assuming the total number of channels is large, we consider the edge…

介观与纳米尺度物理 · 物理学 2016-03-08 E. Khalaf , M. A. Skvortsov , P. M. Ostrovsky

We aim at quantitatively determining transport parameters like conductivity, mean free path, etc., for simple models of spatially completely disordered quantum systems, comparable to the systems which are sometimes referred to as Lifshitz…

无序系统与神经网络 · 物理学 2013-05-30 A. Khodja , H. Niemeyer , J. Gemmer

The Aubry-Andr\'e-Harper (AAH) model with a self-dual symmetry plays an important role in studying the Anderson localization. Here we find a self-dual symmetry determining the quantum phase transition between extended and localized states…

介观与纳米尺度物理 · 物理学 2020-07-15 Qi-Bo Zeng , Yong Xu

Here we study the phase diagram of the Aubry-Andre-Harper model in the presence of strong interactions as the strength of the quasiperiodic potential is varied. Previous work has established the existence of many-body localized phase at…

强关联电子 · 物理学 2023-03-10 Yongchan Yoo , Junhyun Lee , Brian Swingle

Low-energy transport in quantum Hall states is carried through edge modes, and is dictated by bulk topological invariants and possibly microscopic Boltzmann kinetics at the edge. Here we show how the presence or breaking of symmetries of…

介观与纳米尺度物理 · 物理学 2021-05-04 Jinhong Park , Bernd Rosenow , Yuval Gefen

We propose a practical computational framework for detecting structural changes in parameter-dependent topological data. In many applications, such as time-series data analysis, anomaly detection, and monitoring of systems under changing…

代数拓扑 · 数学 2026-05-28 Satoshi Kanno , Rei Nishimura , Hiroshi Yamauchi , Yoshi-aki Shimada

We investigate quantum transport in micrometer-sized single crystals of Bi$_4$Br$_4$, a material predicted to be a second-order topological insulator. 1D topological states with long phase coherence times are revealed via the modulation of…

介观与纳米尺度物理 · 物理学 2026-03-03 J. Lefeuvre , M. Kobayashi , G. Patriarche , N. Findling , D. Troadec , M. Ferrier , S. Guéron , H. Bouchiat , T. Sasagawa , R. Deblock

We analyze the topological and dynamical properties of a system formed by two chains of identical emitters coupled to a waveguide, whose guided modes induce all-to-all excitation hopping. We find that, in the single excitation limit, the…

量子物理 · 物理学 2022-09-21 Ciaran McDonnell , Beatriz Olmos

We introduce a self-consistent theory of mobility edges in nearest-neighbour tight-binding chains with quasiperiodic potentials. Demarcating boundaries between localised and extended states in the space of system parameters and energy,…

无序系统与神经网络 · 物理学 2021-02-10 Alexander Duthie , Sthitadhi Roy , David E. Logan

Aubry-Andre Harper (AAH) lattice models, characterized by reflection-asymmetric, sinusoidally varying nearest-neighbor tunneling profile, are well-known for their topological properties. We consider the fate of such models in the presence…

光学 · 物理学 2016-06-06 Andrew K. Harter , Tony E. Lee , Yogesh N. Joglekar

In this paper, we discuss the topological and transport properties of binary heterostructures of different topological materials. Using the Su-Schrieffer-Heeger model and the method of Green's functions, we calculate and characterize the…

介观与纳米尺度物理 · 物理学 2022-08-17 R. Pineda , W. J. Herrera

In this paper, we explore the localization transition and the scaling properties of both quasi-one-dimensional and two-dimensional quasiperiodic systems, which are constituted from coupling several Aubry-Andr\'{e} (AA) chains along the…

介观与纳米尺度物理 · 物理学 2015-06-22 Ai-Min Guo , X. C. Xie , Qing-feng Sun

Localization properties of particles in one-dimensional incommensurate lattices without interaction are investigated with models beyond the tight-binding Aubry-Andr\'e (AA) model. Based on a tight-binding t_1 - t_2 model with finite…

量子物理 · 物理学 2009-09-08 J. Biddle , B. Wang , D. J. Priour , S. Das Sarma

Continuous-time quantum walk describes the propagation of a quantum particle (or an excitation) evolving continuously in time on a graph. As such, it provides a natural framework for modeling transport processes, e.g., in light-harvesting…

量子物理 · 物理学 2021-08-02 Luca Razzoli , Matteo G. A. Paris , Paolo Bordone

We investigate the transport properties of a two-dimensional Su-Schrieffer-Heeger (2D SSH) model in the quantum Hall regime using non-equilibrium Green's function formalism (NEGF). The device Hamiltonian, where the 2D SSH model serves as…

介观与纳米尺度物理 · 物理学 2024-09-26 Aruna Gupta , Shaina Gandhi , Niladri Sarkar , Jayendra N. Bandyopadhyay

Using synthetic lattices of laser-coupled atomic momentum modes, we experimentally realize a recently proposed family of nearest-neighbor tight-binding models having quasiperiodic site energy modulation that host an exact mobility edge…

We investigate the transport properties within a holographic model characterized by a novel gauge-axion coupling. A key innovation is the introduction of the direct coupling between axion fields, the antisymmetric tensor, and the gauge…

高能物理 - 理论 · 物理学 2023-12-29 Lin-Yue Bai , Jian-Pin Wu , Zhen-Hua Zhou

We study quantum charge transport in two-dimensional networks in the presence of a magnetic field and spin-orbit interaction. The interplay of the corresponding Abelian and non-Abelian gauge fields leads to an intricate behavior of the…

介观与纳米尺度物理 · 物理学 2026-05-06 A. V. Poshakinskiy , L. E. Golub