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When translational symmetry is broken by bulk disorder, the topological nature of states in topological crystalline systems may change depending on the type of disorder that is applied. In this work, we characterize the phases of a…

Strongly Correlated Electrons · Physics 2021-02-01 Saavanth Velury , Barry Bradlyn , Taylor L. Hughes

Topological states of quantum matter have inspired both fascinating physics findings and exciting opportunities for applications. Due to the over-complicated structure of, as well as interactions between, real materials, a faithful quantum…

Quantum Physics · Physics 2021-04-19 Jia Liu , Jun-Yi Cao , Gang Chen , Zheng-Yuan Xue

Disordered systems form one of the centrestages of research in many body sciences and lead to a plethora of interesting phenomena and applications. A paradigmatic disordered system consists of an one-dimensional array of quantum spin-1/2…

Quantum Physics · Physics 2018-10-23 Utkarsh Mishra , Debraj Rakshit , R. Prabhu , Aditi Sen De , Ujjwal Sen

We study multilayer topological insulators with random interlayer tunneling, known as off-diagonal disorder. Within the Burkov-Balents model a single Hermitian defect creates a bound state whose energy crosses the middle of the gap in the…

Mesoscale and Nanoscale Physics · Physics 2025-08-01 Z. Z. Alisultanov , A. Kudlis

Due to the peculiar non-fermi liquid of one dimensional systems, disorder has particularly strong effects. We show that such systems belong to the more general class of disordered quantum solids. We discuss the physics of such disordered…

Strongly Correlated Electrons · Physics 2007-05-23 T. Giamarchi , E. Orignac

We observed asymmetric critical slowing down and asymmetric dynamical scaling exponent in the superheating and supercooling kinetic processes during the thermally-induced metal-insulator transition of MnNiSn based heusler alloy. During the…

Statistical Mechanics · Physics 2023-01-16 Tapas Bar , Arup Ghosh , Anurag Banerjee

We investigate the impact of random bond disorder on quantum skyrmions using a spin-half quantum Heisenberg model on the square lattice with Dzyaloshinskii-Moriya interaction, Heisenberg anisotropy, and boundary-pinned magnetic field.…

Strongly Correlated Electrons · Physics 2025-10-21 Amit Kumar , Kalpataru Pradhan

Topological insulators and topological superconductors are distinguished by their bulk phase transitions and gapless states at a sharp boundary with the vacuum. Quasicrystals have recently been found to be topologically nontrivial. In…

Mesoscale and Nanoscale Physics · Physics 2013-02-18 Mor Verbin , Oded Zilberberg , Yaacov E. Kraus , Yoav Lahini , Yaron Silberberg

We clarify novel forms of scaling functions of conductance, critical conductance distribution and localization length in a disorder-driven quantum phase transition between band insulator and Weyl semimetal phases. Quantum criticality of the…

Mesoscale and Nanoscale Physics · Physics 2018-07-11 Xunlong Luo , Tomi Ohtsuki , Ryuichi Shindou

The realization of the quantum anomalous Hall (QAH) effect without magnetic doping attracts intensive interest since magnetically doped topological insulators usually possess inhomogeneity of ferromagnetic order. Here, we propose a…

Disordered Systems and Neural Networks · Physics 2022-01-11 Zhen Ning , Baobing Zheng , Dong-Hui Xu , Rui Wang

To harness the true potential of topological insulators as quantum materials for information processing, it is imperative to maximise topological surface state conduction, while simulateneously improving their quantum coherence. However,…

Mesoscale and Nanoscale Physics · Physics 2018-08-21 Abhishek Banerjee , R. Ganesan , P. S. Anil Kumar

We investigate a two-dimensional tiling model. Even though the degrees of freedom in this model are discrete, it has a hidden continuous global symmetry in the infinite lattice limit, whose corresponding Goldstone modes are the…

Statistical Mechanics · Physics 2014-07-09 Eran Sagi , Eli Eisenberg

We numerically investigate the effects of disorder on the quantum Hall effect (QHE) and the quantum phase transitions in silicene based on a lattice model. It is shown that for a clean sample, silicene exhibits an unconventional QHE near…

Strongly Correlated Electrons · Physics 2017-12-15 Y. L. Liu , G. X. Luo , N. Xu , H. Y. Tian , C. D. Ren

In crystalline systems, higher-order topology, characterized by topological states of codimension greater than one, typically arises from the mismatch between Wannier centers and atomic sites, leading to filling anomalies. However, this…

Superconductivity · Physics 2024-01-29 Chaozhi Ouyang , Qinghua He , Dong-Hui Xu , Feng Liu

Quantum-Hall--Superconductor hybrids have been predicted to exhibit various types of topological order, providing possible platforms for intrinsically fault-tolerant quantum computing. In this paper, we develop a formulation to construct…

Mesoscale and Nanoscale Physics · Physics 2024-12-13 Koji Kudo , Ryota Nakai , Kentaro Nomura

Topological states of matter in disordered systems without translation symmetry have attracted great interest in recent years. These states with topological characters are not only robust against certain disorders, but also can be…

Disordered Systems and Neural Networks · Physics 2026-05-08 Dan-Wei Zhang , Ling-Zhi Tang

We investigate the role of disorder in a two-dimensional semi-Dirac material characterized by a linear dispersion in one, and a parabolic dispersion in the orthogonal, direction. Using the self-consistent Born approximation, we show that…

Disordered Systems and Neural Networks · Physics 2018-01-31 P. V. Sriluckshmy , Kush Saha , Roderich Moessner

We study the nature of the disorder-induced quantized conductance, i.e., the phenomena of topological Anderson insulator (TAI) induced in HgTe/CdTe semiconductor quantum well. The disorder effect in several different systems where anomalous…

Mesoscale and Nanoscale Physics · Physics 2015-05-30 Yanxia Xing , Lei Zhang , Jian Wang

The quadrupole topological insulator (QTI) has attracted intense studies as a prototype of symmetry-protected higher-order topological phases of matter with a quantized quadrupole moment. The realization of QTIs has been reported in various…

Mesoscale and Nanoscale Physics · Physics 2022-06-08 Zhen Ning , Bo Fu , Dong-Hui Xu , Rui Wang

We analyze the toric code model in the presence of quenched disorder, which is introduced via different types of random magnetic fields. In general, close to a quantum phase transition between a spin polarized phase and a topologically…

Quantum Physics · Physics 2011-03-22 D. I. Tsomokos , T. J. Osborne , C. Castelnovo