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Topological behavior can be masked when disorder is present. A topological insulator, either intrinsic or interaction induced, may turn gapless when sufficiently disordered. Nevertheless, the metallic phase that emerges once a topological…

Mesoscale and Nanoscale Physics · Physics 2013-04-03 Julia S. Meyer , Gil Refael

From transfer-matrix calculation of localization lengths and their finite-size scaling analyses, we evaluate critical exponents of the Anderson metal-insulator transition in three dimensional (3D) orthogonal class with particle-hole…

Disordered Systems and Neural Networks · Physics 2020-01-29 Xunlong Luo , Baolong Xu , Tomi Ohtsuki , Ryuichi Shindou

Three-dimensional topological insulators feature Dirac-like surface states which are topologically protected against the influence of weak quenched disorder. Here we investigate the effect of surface disorder beyond the weak-disorder limit…

Strongly Correlated Electrons · Physics 2012-05-30 Gerald Schubert , Holger Fehske , Lars Fritz , Matthias Vojta

We study the disordered topological Anderson insulator in a 2-D (square not strip) geometry. We first report the phase diagram of finite systems and then study the evolution of phase boundaries when the system size is increased to a very…

Mesoscale and Nanoscale Physics · Physics 2012-11-19 Dongwei Xu , Junjie Qi , Jie Liu , Vincent Sacksteder , X. C. Xie , Hua Jiang

In this paper we study the phase diagram of a disordered, spin-orbit coupled superconductor with $s$-wave or $d+id$-wave pairing symmetry in symmetry class $D$. We analyze the topological phase transitions by applying three different…

Strongly Correlated Electrons · Physics 2016-03-22 Jan Borchmann , Aaron Farrell , T. Pereg-Barnea

The properties of topological systems are inherently tied to their dimensionality. Higher-dimensional physical systems exhibit topological properties not shared by their lower dimensional counterparts and, in general, offer richer physics.…

Mesoscale and Nanoscale Physics · Physics 2019-12-16 Kai Chen , Matthew Weiner , Mengyao Li , Xiang Ni , Andrea Alù , Alexander B. Khanikaev

We compute the phase diagram of the HgTe/CdTe quantum wells in the 3 dimensional (3D) parameter space of Dirac mass, Fermi level and disorder strength. The phase diagram reveals the Quantum spin-Hall, the metallic and the normal insulating…

Disordered Systems and Neural Networks · Physics 2011-05-16 Emil Prodan

The Berry phase associated with energy bands in crystals can lead to quantized quantities, such as the quantization of electric dipole polarization in an insulator, known as a one-dimensional (1D) topological insulator (TI) phase. Recent…

Mesoscale and Nanoscale Physics · Physics 2022-09-27 Haoran Xue , Yong Ge , Hong-Xiang Sun , Qiang Wang , Ding Jia , Yi-Jun Guan , Shou-Qi Yuan , Yidong Chong , Baile Zhang

We study the topological properties of a one-dimensional quasiperiodic-potential-modulated mosaic trimer lattice. To begin with, we first investigate the topological properties of the model in the clean limit free of quasiperiodic disorder…

Disordered Systems and Neural Networks · Physics 2026-01-21 Xiatao Wang , Li Wang , Shu Chen

We investigate disordered-driven transitions between trivial and topological insulator (TI) phases in two-dimensional (2D) systems. Our study primarily focuses on the BHZ model with Anderson disorder, while other standard 2DTI models…

Disordered Systems and Neural Networks · Physics 2024-05-03 Bryan D. Assunção , Gerson J. Ferreira , Caio H. Lewenkopf

Recently extended from the modern theory of electric polarization, quantized multipole topological insulators (QMTIs) describe higher-order multipole moments, lying in nested Wilson loops, which are inherently quantized by lattice…

Mesoscale and Nanoscale Physics · Physics 2020-06-24 Xiang Ni , Mengyao Li , Matthew Weiner , Andrea Alù , Alexander B. Khanikaev

We study quantum phase transitions of three-dimensional disordered systems in the chiral classes (AIII and BDI) with and without weak topological indices. We show that the systems with a nontrivial weak topological index universally exhibit…

Disordered Systems and Neural Networks · Physics 2023-08-03 Zhenyu Xiao , Kohei Kawabata , Xunlong Luo , Tomi Ohtsuki , Ryuichi Shindou

Topological insulators (TIs) are characterized by an insulating bulk and symmetry protected bound state on their boundaries. A "strong" topological insulator is characterized by robust conducting states on \emph{all} boundaries protected by…

Mesoscale and Nanoscale Physics · Physics 2020-12-16 Inbar Hotzen Grinberg , Mao Lin , Wladimir A. Benalcazar , Taylor L. Hughes , Gaurav Bahl

We examine the emergence of topological Anderson insulating phases in the spinful Haldane model with Hubbard and next-neighbor density-density interactions, subject to Anderson disorder. Using finite-size exact diagonalization, we…

Mesoscale and Nanoscale Physics · Physics 2026-05-28 Alejandro J. Uría-Álvarez , Roser Valentí

The discovery and realization of topological insulators, a phase of matter which hosts metallic boundary states when the $d$-dimension insulating bulk is confined to ($d-1$)-dimensions, led to several potential applications. Recently, it…

The quest for the topological phases of matter in an aperiodic system has been greatly developed recently. Here we investigate the effects of disorder on topological phases of a two-dimensional Ammann-Beenker tiling quasicrystalline…

Mesoscale and Nanoscale Physics · Physics 2021-02-19 Tan Peng , Chun-Bo Hua , Rui Chen , Dong-Hui Xu , Bin Zhou

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

Boundary obstructed topological insulators are an unusual class of higher-order topological insulators with topological characteristics determined by the so-called Wannier bands. Boundary obstructed phases can harbor hinge/corner modes, but…

Disordered Systems and Neural Networks · Physics 2020-10-07 Jahan Claes , Taylor L. Hughes

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

Two-dimensional topological insulators are characterized by an insulating bulk and conductive edge states protected by the nontrivial topology of the bulk electronic structure. They remain robust against moderate disorder until Anderson…

Mesoscale and Nanoscale Physics · Physics 2025-07-11 Roberta Favata , Nicolas Baù , Antimo Marrazzo