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We study disorder effects in a two-dimensional system with chiral symmetry and find that disorder can induce a quadrupole topological insulating phase (a higher-order topological phase with quadrupole moments) from a topologically trivial…

Mesoscale and Nanoscale Physics · Physics 2021-02-05 Yan-Bin Yang , Kai Li , L. -M. Duan , Yong Xu

Recently, a new family of symmetry-protected higher-order topological insulators has been proposed and was shown to host lower-dimensional boundary states. However, with the existence of the strong disorder in the bulk, the crystal symmetry…

Mesoscale and Nanoscale Physics · Physics 2021-04-14 Weixuan Zhang , Deyuan Zou , Qingsong Pei , Wenjing He , Jiacheng Bao , Houjun Sun , Xiangdong Zhang

Topological insulators in three dimensions are characterized by a Z2-valued topological invariant, which consists of a strong index and three weak indices. In the presence of disorder, only the strong index survives. This paper studies the…

Mesoscale and Nanoscale Physics · Physics 2016-11-25 H. -M. Guo

We study the level-statistics of a disordered system undergoing the Anderson type metal-insulator transition. The disordered Hamiltonian is a sparse random matrix in the site representation and the statistics is obtained by taking an…

Disordered Systems and Neural Networks · Physics 2007-05-23 Pragya Shukla

The physics of manganites appears to be dominated by phase competition among ferromagnetic metallic and charge-ordered antiferromagnetic insulating states. Previous investigations (Burgy {\it et al.}, Phys. Rev. Lett. {\bf 87}, 277202…

Strongly Correlated Electrons · Physics 2007-05-23 C. Sen , G. Alvarez , E. Dagotto

We investigate the possibility of using structural disorder to induce a topological phase in a solid state system. Using first-principles calculations, we introduce structural disorder in the trivial insulator BiTeI and observe the…

Materials Science · Physics 2021-06-30 Paul Corbae , Frances Hellman , Sinead M. Griffin

We present an effective medium theory that explains the disorder-induced transition into a phase of quantized conductance, discovered in computer simulations of HgTe quantum wells. It is the combination of a random potential and quadratic…

Mesoscale and Nanoscale Physics · Physics 2013-07-09 C. W. Groth , M. Wimmer , A. R. Akhmerov , J. Tworzydło , C. W. J. Beenakker

A correlated material in the vicinity of an insulator-metal transition (IMT) exhibits rich phenomenology and variety of interesting phases. A common avenue to induce IMTs in Mott insulators is doping, which inevitably leads to disorder.…

The thermal metal to thermal insulator transition due to random disorder is studied in the context of the symmetries of the Bogoliubov de Gennes Hamiltonian. We focus on a three dimensional system with gapless s-wave pairing that possesses…

Disordered Systems and Neural Networks · Physics 2018-06-11 Conrad Moore , Ka Ming Tam , Yi Zhang , Mark Jarrell

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

The disorder effects on higher-order topological phases in periodic systems have attracted much attention. However, in aperiodic systems, such as quasicrystalline systems, the interplay between disorder and higher-order topology is still…

Mesoscale and Nanoscale Physics · Physics 2021-12-14 Tan Peng , Chun-Bo Hua , Rui Chen , Zheng-Rong Liu , Dong-Hui Xu , Bin Zhou

Impurities and defects are ubiquitous in topological insulators (TIs) and thus understanding the effects of disorder on electronic transport is important. We calculate the distribution of the random conductance fluctuations $P(G)$ of…

Mesoscale and Nanoscale Physics · Physics 2018-03-14 Hsiu-Chuan Hsu , Ioannis Kleftogiannis , Guang-Yu Guo , Victor A. Gopar

We study the dimensional dependence of the interplay between correlation and disorder in two dimension at half filling using 2D $t-t'$ disordered Hubbard model with deterministic disorder both at zero and finite temperatures. Inclusion of…

Strongly Correlated Electrons · Physics 2015-05-13 Tribikram Gupta , Sanjay Gupta

In this work, we study the disorder effect on topological metals that support a pair of helical edge modes deeply embedded inside the gapless bulk states. Strikingly, we predict that a quantum spin Hall (QSH) phase can be obtained from such…

Mesoscale and Nanoscale Physics · Physics 2020-05-14 Chui-Zhen Chen , Hua Jiang , Dong-Hui Xu , X. C. Xie

Effect of disorder in metallic thin film is examined as a possible mechanism of the Superconductor-Insulator (S-I) transition. The critical value of disorder corresponding to the transition point is found analytically by using…

Superconductivity · Physics 2007-05-23 Masahiko Kasuga , Susumu Kurihara

We introduce a new method to analysis the many-body problem with disorder. The method is an extension of the real space renormalization group based on the operator product expansion. We consider the problem in the presence of interaction,…

Strongly Correlated Electrons · Physics 2009-10-31 D. Schmeltzer

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 study the effect of disorder in systems having a non-trivial Euler class. As these recently proposed multi-gap topological phases come about by braiding non-Abelian charged band nodes residing between different bands to induce stable…

Mesoscale and Nanoscale Physics · Physics 2024-08-08 Wojciech J. Jankowski , Mohammadreza Noormandipour , Adrien Bouhon , Robert-Jan Slager

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

The theory of almost commuting matrices can be used to quantify topological obstructions to the existence of localized Wannier functions with time-reversal symmetry in systems with time-reversal symmetry and strong spin-orbit coupling. We…

Mesoscale and Nanoscale Physics · Physics 2015-05-19 T. A. Loring , M. B. Hastings