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We study how interacting localized degrees of freedom are affected by slow thermal fluctuations that change the effective local disorder. We compute the time-averaged (annealed) conductance in the insulating regime and find three distinct…

Disordered Systems and Neural Networks · Physics 2021-09-29 Valentina Ros , Markus Müller

We study topological insulators under dephasing noise. With examples of both a $2d$ Chern insulator and a $3d$ topological insulator protected by time-reversal symmetry, we demonstrate that there is a phase transition at finite dephasing…

Strongly Correlated Electrons · Physics 2025-11-17 Thomas G. Kiely , Cenke Xu

We construct a three-dimensional (3D), time-reversal symmetric generalization of the Chalker-Coddington network model for the integer quantum Hall transition. The novel feature of our network model is that in addition to a weak topological…

Disordered Systems and Neural Networks · Physics 2021-10-04 Jun Ho Son , S. Raghu

We investigate disorder-driven topological phase transitions in quantized electric quadrupole insulators. We show that chiral symmetry can protect the quantization of the quadrupole moment $q_{xy}$, such that the higher-order topological…

Mesoscale and Nanoscale Physics · Physics 2020-10-21 Chang-An Li , Bo Fu , Zi-Ang Hu , Jian Li , Shun-Qing Shen

Of the available classes of insulators which have been shown to contain topologically non-trivial properties one of the most important is class AII, which contains systems that possess time-reversal symmetry $T$ with $T^2=-1.$ This class…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Matthew J. Gilbert , B. Andrei Bernevig , Taylor L. Hughes

In topological phases of matter for which the bulk and boundary support distinct electronic gaps, there exists the possibility of decoupled mobility gaps in the presence of disorder. This is in analogy with the well-studied problem of…

Disordered Systems and Neural Networks · Physics 2025-01-29 Cormac Grindall , Alexander C. Tyner , Ang-Kun Wu , Taylor L. Hughes , J. H. Pixley

Recently, the search for an axion insulator state in the ferromagnet-3D topological insulator (TI) heterostructure and $\mathrm{MnBi_2Te_4}$ has attracted intensive interest. However, its detection remains difficult in experiments. We…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 Hailong Li , Hua Jiang , Chui-Zhen Chen , X. C. Xie

The metal-insulator transition (MIT) observed in two-dimensional (2D) systems is apparently contradictory to the well known scaling theory of localization. By investigating the conductance of disordered one-dimensional systems with a finite…

Strongly Correlated Electrons · Physics 2009-10-31 Junren Shi , X. C. Xie

We study the Anderson localization in a weakly coupled multilayer system with a strong magnetic field perpendicular to the layers. The phase diagram of 1/3 flux quanta per plaquette is obtained. The phase diagram shows that a…

Condensed Matter · Physics 2009-10-31 X. R. Wang , C. Y. Wong , X. C. Xie

Static disorder in a noninteracting gas of electrons confined to two dimensions can drive a continuous quantum (Anderson) transition between a metallic and an insulating state when time-reversal symmetry is preserved but spin-rotation…

Mesoscale and Nanoscale Physics · Physics 2008-09-03 Hideaki Obuse , Akira Furusaki , Shinsei Ryu , Christopher Mudry

We study theoretically the interplay between magnetism and topology in three-dimensional HgTe/MnTe superlattices stacked along the (001) axis. Our results show the evolution of the magnetic topological phases with respect to the magnetic…

Time reversal symmetric topological insulators are generically robust with respect to weak local interaction, unless symmetry breaking transitions take place. Using dynamical mean-field theory we solve an interacting model of quantum spin…

Strongly Correlated Electrons · Physics 2025-08-19 A. Amaricci , G. Mazza , M. Capone , M. Fabrizio

A field theory of the Anderson transition in two dimensional disordered systems with spin-orbit interactions and time-reversal symmetry is developed, in which the proliferation of vortex-like topological defects is essential for…

Mesoscale and Nanoscale Physics · Physics 2015-06-11 Liang Fu , C. L. Kane

We show that fully-localized, three-dimensional, time-reversal-symmetry-broken insulators do not belong to a single phase of matter but can realize topologically distinct phases that are labelled by integers. The phase transition occurs…

Mesoscale and Nanoscale Physics · Physics 2026-02-18 Bastien Lapierre , Titus Neupert , Luka Trifunovic

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

In this paper, a delocalization-localization transition within the superconducting state is explored. The symmetries of the Bogoliubov deGennes Hamiltonian endow the two associated superconducting phases - the thermal metal and the thermal…

Superconductivity · Physics 2016-08-31 Smitha Vishveshwara , Matthew P. A. Fisher

The phase transitions from one plateau to the next plateau or to an insulator in quantum Hall and quantum anomalous Hall (QAH) systems have revealed universal scaling behaviors. A magnetic-field-driven quantum phase transition from a QAH…

Mesoscale and Nanoscale Physics · Physics 2023-02-07 Xinyu Wu , Di Xiao , Chui-Zhen Chen , Jian Sun , Ling Zhang , Moses H. W. Chan , Nitin Samarth , X. C. Xie , Xi Lin , Cui-Zu Chang

Disorder, traditionally believed to hinder the propagation of waves. has recently been shown to prompt the occurrence of topological phase transitions. For example, when disorder strength continuously increases and surpasses certain…

Mesoscale and Nanoscale Physics · Physics 2024-04-24 Aodong Li , Bingcong Xu , Biye Xie

It is well known that the metal-insulator transition in two dimensions for non-interacting fermions takes place at infinitesimal disorder. In contrast, the superconductor-to-insulator transition takes place at a finite critical disorder (on…

Superconductivity · Physics 2013-09-20 Nandini Trivedi , Yen Lee Loh , Karim Bouadim , Mohit Randeria

Disorder, ubiquitously present in solids, is normally detrimental to the stability of ordered states of matter. In this letter we demonstrate that not only is the physics of a strong topological insulator robust to disorder but, remarkably,…

Mesoscale and Nanoscale Physics · Physics 2010-12-03 H. -M. Guo , G. Rosenberg , G. Refael , M. Franz
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