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Disorder plays an important role in two dimensions, and is responsible for striking phenomena such as metal insulator transition and the integral and fractional quantum Hall effects. In this paper, we investigate the role of disorder in the…

Mesoscale and Nanoscale Physics · Physics 2009-04-06 Jian Li , Rui-Lin Chu , J. K. Jain , Shun-Qing Shen

By using the self-consistent Born approximation, we investigate topological phase transitions in double HgTe quantum wells (QWs) induced by the short-range impurities. Following the evolution of the density-of-states and the spectral…

Mesoscale and Nanoscale Physics · Physics 2025-02-03 S. S. Krishtopenko , A. V. Ikonnikov , B. Jouault , F. Teppe

Topological insulators have been extended to higher-order versions that possess topological hinge or corner states in lower dimensions. However, their robustness against disorder is still unclear. Here, we theoretically investigate the…

Mesoscale and Nanoscale Physics · Physics 2025-07-08 Yedi Shen , Zeyu Li , Qian Niu , Zhenhua Qiao

A two-dimensional spin-directed $\mathbb{Z}^{\,}_{2}$ network model is constructed that describes the combined effects of dimerization and disorder for the surface states of a weak three-dimensional $\mathbb{Z}^{\,}_{2}$ topological…

Mesoscale and Nanoscale Physics · Physics 2014-04-23 Hideaki Obuse , Shinsei Ryu , Akira Furusaki , Christopher Mudry

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 investigate a transition between a two-dimensional topological insulator conduction state, characterized by a conductance $G=2$ (in fundamental units $e^2/h$) and a Chern insulator with $G=1$, induced by polarized magnetic impurities.…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 Laurent Raymond , Alberto D. Verga , Arnaud Demion

It is well established that for non-interacting electrons, increasing disorder drives a metal into a gapless localized Anderson insulator. While in three dimensions a threshold in disorder must be crossed for the transition, in two…

Strongly Correlated Electrons · Physics 2015-06-15 Elias Lahoud , O. Nganba Meetei , K. B. Chaska , A Kanigel , Nandini Trivedi

We present a theory of the metal-insulator transition in a disordered two-dimensional electron gas. A quantum critical point, separating the metallic phase which is stabilized by electronic interactions, from the insulating phase where…

Disordered Systems and Neural Networks · Physics 2007-05-23 Alexander Punnoose , Alexander M. Finkel'stein

Higher-order nodal line semimetals represent a recently proposed topological semimetal class that harbors bulk nodal lines and features gapless hinge Fermi arc excitations, governed by the bulk-hinge correspondence. In this study, we…

Disordered Systems and Neural Networks · Physics 2024-01-25 Yue-Ran Ding , Dong-Hui Xu , Chui-Zhen Chen

The quantum phase transition between the three dimensional Dirac semimetal and the diffusive metal can be induced by increasing disorder. Taking the system of disordered $\mathbb{Z}_2$ topological insulator as an important example, we…

Mesoscale and Nanoscale Physics · Physics 2014-01-10 Koji Kobayashi , Tomi Ohtsuki , Ken-Ichiro Imura , Igor F. Herbut

Topological insulators are a class of band insulators with non-trivial topology, a result of band inversion due to the strong spin-orbit coupling. The transition between topological and normal insulator can be realized by tuning the…

Strongly Correlated Electrons · Physics 2018-03-29 Wenhan Zhang , M. X. Chen , Jixia Dai , Xueyun Wang , Zhicheng Zhong , Sang-Wook Cheong , Weida Wu

Strong directional disorder in local magnetic moments coupled to a Chern insulator gives rise to topological phases that cannot be continuously connected to the clean limit and are therefore genuinely disorder-driven. We demonstrate this in…

Mesoscale and Nanoscale Physics · Physics 2026-02-17 Devesh Vaish , Michael Potthoff

We numerically demonstrate a practical means of systematically controlling topological transport on the surface of a three dimensional topological insulator, by introducing strong disorder in a layer of depth $d$ extending inward from the…

Mesoscale and Nanoscale Physics · Physics 2015-06-17 Vincent Sacksteder , Tomi Ohtsuki , Koji Kobayashi

We examined the characteristics of a metal-insulator transition on a two-dimensional non-bipartite lattice when both disorders and electron interactions are present. Using a real-space renormalization group method and finite-size scaling…

Strongly Correlated Electrons · Physics 2007-05-23 Jiaxiang Wang , Sabre Kais

This paper details the investigation of the influence of different disorders in two-dimensional topological insulator systems. Unlike the phase transitions to topological Anderson insulator induced by normal Anderson disorder, a different…

Disordered Systems and Neural Networks · Physics 2013-01-01 Juntao Song , Haiwen Liu , Hua Jiang , Qing-feng Sun , X. C. Xie

We reconsider the phase diagram of a three-dimensional $\mathbb{Z}_2$ topological insulator in the presence of short-ranged potential disorder with the insight that non-perturbative rare states destabilize the noninteracting Dirac semimetal…

Disordered Systems and Neural Networks · Physics 2024-06-28 Yixing Fu , Justin H. Wilson , David A. Huse , J. H. Pixley

A detailed study of the paramagnetic to ferromagnetic phase transition in the one-band Hubbard model in the presence of binary alloy disorder is presented. The influence of the disorder (with concentration $x$ and $1-x$ of the two alloy…

Strongly Correlated Electrons · Physics 2009-11-07 Krzysztof Byczuk , Martin Ulmke , Dieter Vollhardt

At low temperature T, a significant difference between the behavior of crystals on the one hand and disordered solids on the other is seen: sufficiently strong disorder can give rise to a transition of the transport properties from…

Disordered Systems and Neural Networks · Physics 2018-03-21 Rudolf A Roemer , Michael Schreiber

We investigate the metal insulator transitions at finite temperature for the Hubbard model with diagonal alloy disorder. We solve the dynamical mean field theory equations with the non crossing approximation and we use the coherent…

Strongly Correlated Electrons · Physics 2009-11-11 P. Lombardo , R. Hayn , G. I. Japaridze

Two phenomena have been recently observed in high-mobility Si MOS structures: (1) strong enhancement of the metallic conduction at low temperatures, T < 2K, and (2) the scaling behavior of the temperature and electric field dependences of…

Strongly Correlated Electrons · Physics 2008-02-03 V. M. Pudalov