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Robust states emerging at the boundary of a system constitute a hallmark for topological band structures. Other than in closed systems, topologically protected states can occur even in systems with a trivial band structure, if exposed to…

Quantum Physics · Physics 2023-10-16 Helene Wetter , Michael Fleischhauer , Stefan Linden , Julian Schmitt

Recent breakthrough on topological Anderson insulators revealed the breakdown of the traditional perception that sufficiently strong disorder may induce the appearance of topological protected transport states instead of destruction.…

Mesoscale and Nanoscale Physics · Physics 2021-11-15 Hui Liu , Boyang Xie , Haonan Wang , Wenwei Liu , Zhancheng Li , Hua Cheng , Jianguo Tian , Zhengyou Liu , Shuqi Chen

We derive the expression for the local Hall conductivity for systems that lack translation symmetry and use it to study the local fluctuations of the Hall signal around disordered patches in magnetic insulators. We find that the regime in…

Mesoscale and Nanoscale Physics · Physics 2026-03-11 Zachariah Addison , Nandini Trivedi

The bulk-boundary correspondence is a generic feature of topological states of matter, reflecting the intrinsic relation between topological bulk and boundary states. For example, robust edge states propagate along the edges and corner…

Mesoscale and Nanoscale Physics · Physics 2022-11-15 Ai-Lei He , Wei-Wei Luo , Yuan Zhou , Yi-Fei Wang , Hong Yao

We explore the electronic structure and transport properties of a metal on top of a (weakly coupled) two-dimensional topological insulator. Unlike the widely studied junctions between topological non-trivial materials, the systems studied…

Mesoscale and Nanoscale Physics · Physics 2016-03-02 L. E. F. Foa Torres , V. Dal Lago , E. Suárez Morell

Here we study the instabilities of a quadratic band crossing system to Chern insulating states and uncorrelated disorder. We determined the phase diagram in the plane of topological mass versus disorder strength, characterizing the system…

Disordered Systems and Neural Networks · Physics 2025-02-19 Nicolau Sobrosa , Miguel Gonçalves , Eduardo V. Castro

Connections between the electron eigenstates and conductivity of one-dimensional disordered electron systems is studied in the framework of the tight-binding model. We show that for weak disorder only part of the states exhibit resonant…

Mesoscale and Nanoscale Physics · Physics 2016-07-27 A. Eisenbach , Y. Bliokh , V. Freilkher , M. Kaveh , R. Berkovits

A 3D layered system of charges with logarithmic interaction parallel to the layers and random dipoles is studied via a novel variational method and an energy rationale which reproduce the known phase diagram for a single layer. Increasing…

Condensed Matter · Physics 2016-08-31 Baruch Horovitz , Pierre Le Doussal

A salient feature of topological phases are surface states and many of the widely studied physical properties are directly tied to their existence. Although less explored, a variety of topological phases can however similarly be…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Toshikaze Kariyado , Robert-Jan Slager

A completely opposite behavior of electronic localization is revealed in a spatially non-uniform disordered material compared to the traditional spatially uniform disordered one. This fact is substantiated by considering an order-disorder…

Mesoscale and Nanoscale Physics · Physics 2018-12-11 Madhuparna Banerjee , Baisakhi Mal , Santanu K. Maiti

We study a disordered network of bistable bonds subjected to periodic strain. The model is inspired by experiments on crumpled sheets and it features behaviors associated with glasses, including a complex energy landscape, memories, and…

Soft Condensed Matter · Physics 2025-07-18 Sheng Huang , Daniel Hexner

We study the conductance of chaotic or disordered wires in a situation where equilibrium transport decomposes into biased diffusion and a counter-moving regular current. A possible realization is a semiconductor nanostructure with…

Chaotic Dynamics · Physics 2007-05-23 Manamohan Prusty , Holger Schanz

The beauty of quantum Hall (QH) effect is the metrological precision of Hall resistance quantization that originates from the topological edge states. Understanding the factors that lead to quantization breakdown not only provides important…

Mesoscale and Nanoscale Physics · Physics 2022-04-13 Weiyan Lin , Yang Feng , Yongchao Wang , Zichen Lian , Hao Li , Yang Wu , Chang Liu , Yihua Wang , Jinsong Zhang , Yayu Wang , Xiaodong Zhou , Jian Shen

We study the effect of disorder on the particle density evolution in a classical Hamiltonian driven lattice setup. If the disorder is localized within a finite sub-domain of the lattice, the emergence of strong tails in the density…

Chaotic Dynamics · Physics 2016-09-21 Thomas Wulf , Alexander Okupnik , Peter Schmelcher

The conductance of disordered nano-wires at T=0 is calculated in one-particle approximation by reducing the original multi-dimensional problem for an open bounded system to a set of exactly one-dimensional non-Hermitian problems for mode…

Disordered Systems and Neural Networks · Physics 2009-11-07 Yu. V. Tarasov

Couplings between topological edge channels open electronic phases possessing nontrivial eigenmodes far beyond the noninteracting-edge picture. However, inelastic scatterings mask the eigenmodes' inherent features, often preventing us from…

Mesoscale and Nanoscale Physics · Physics 2024-09-11 Masayuki Hashisaka , Takuya Ito , Takafumi Akiho , Satoshi Sasaki , Norio Kumada , Naokazu Shibata , Koji Muraki

The understanding of various types of disorders in atomically thin transition metal dichalcogenides (TMDs), including dangling bonds at the edges, chalcogen deficiencies in the bulk, and charges in the substrate, is of fundamental…

Mesoscale and Nanoscale Physics · Physics 2016-07-26 Di Wu , Xiao Li , Lan Luan , Xiaoyu Wu , Wei Li , Maruthi N. Yogeesh , Rudresh Ghosh , Zhaodong Chu , Deji Akinwande , Qian Niu , Keji Lai

The nature of edge state transport in quantum Hall systems has been studied intensely ever since Halperin [1] noted its importance for the quantization of the Hall conductance. Since then, there have been many developments in the study of…

Mesoscale and Nanoscale Physics · Physics 2018-09-12 Casey Nosiglia , Jinhong Park , Bernd Rosenow , Yuval Gefen

We investigate the effect of interactions on the stability of a disordered, two-dimensional topological insulator realized as an array of nanowires or chains of magnetic atoms on a superconducting substrate. The Majorana zero-energy modes…

Mesoscale and Nanoscale Physics · Physics 2015-09-23 A. Milsted , L. Seabra , I. C. Fulga , C. W. J. Beenakker , E. Cobanera

Here we study the single-particle, electronic transport and optical properties of a gapped system described by a simple two-band Hamiltonian with inverted valence bands. We analyze its properties in the three-dimensional (3D) and the…

Mesoscale and Nanoscale Physics · Physics 2021-08-11 Zoran Rukelj , Ana Akrap