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Features of a topological phase, and edge states in particular, may be obscured by overlapping in energy with a trivial conduction band. The topological nature of such a conductor, however, is revealed in its transport properties,…

Mesoscale and Nanoscale Physics · Physics 2013-12-10 Alexandra Junck , Kun W. Kim , Doron L. Bergman , T. Pereg-Barnea , Gil Refael

Non-trivial geometry of electronic Bloch states gives rise to topological insulators which are robust against sufficiently weak randomness inevitably present in any quantum material. However, increasing disorder triggers a quantum phase…

Disordered Systems and Neural Networks · Physics 2025-11-14 Daniel J. Salib , Bitan Roy

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

The topological insulator is an electronic phase stabilized by spin-orbit coupling that supports propagating edge states and is not adiabatically connected to the ordinary insulator. In several ways it is a spin-orbit-induced analogue in…

Mesoscale and Nanoscale Physics · Physics 2009-12-16 Andrew M. Essin , J. E. Moore

Periodically driven quantum systems provide a novel and versatile platform for realizing topological phenomena. Among these are analogs of topological insulators and superconductors, attainable in static systems; however, some of these…

Mesoscale and Nanoscale Physics · Physics 2016-05-12 Paraj Titum , Erez Berg , Mark S. Rudner , Gil Refael , Netanel H. Lindner

We present a comparative theoretical study of the effects of standard Anderson and magnetic disorders on the topological phases of two-dimensional Rashba spin-orbit coupled superconductors, with the initial state to be either topologically…

Superconductivity · Physics 2015-09-08 Wei Qin , Di Xiao , Kai Chang , Shun-Qing Shen , Zhenyu Zhang

Recent theoretical studies predict that structural disorder, serving as a bridge connecting a crystalline material to an amorphous material, can induce a topological insulator from a trivial phase. However, to experimentally observe such a…

Disordered Systems and Neural Networks · Physics 2022-01-03 Kai Li , Jiong-Hao Wang , Yan-Bin Yang , Yong Xu

Experimental studies of magnetoresistance in thin superconducting strips subject to a perpendicular magnetic field B exhibit a multitude of transitions, from superconductor to insulator and vice versa alternately. Motivated by this…

Strongly Correlated Electrons · Physics 2015-06-03 Yeshayahu Atzmon , Efrat Shimshoni

Influence of disorder on the temperature of superconducting transition (T_c) is studied within the sigma-model renormalization group framework. Electron-electron interaction in particle-hole and Cooper channels is taken into account and…

Mesoscale and Nanoscale Physics · Physics 2012-01-10 I. S. Burmistrov , I. V. Gornyi , A. D. Mirlin

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

The topological trivial band of a lattice can be driven into a topological phase by disorder in the system. This so-called topological Anderson phase has been predicted and observed for uncorrelated static disorder, while in the presence of…

Optics · Physics 2020-08-17 Stefano Longhi

An exhaustive classification scheme of topological insulators and superconductors is presented. The key property of topological insulators (superconductors) is the appearance of gapless degrees of freedom at the interface/boundary between a…

Mesoscale and Nanoscale Physics · Physics 2015-05-13 Andreas P. Schnyder , Shinsei Ryu , Akira Furusaki , Andreas W. W. Ludwig

Here we show in simulations of the Haldane model that pulse propagation in disordered topological insulators is robust throughout the central portion of the band gap where localized modes do not arise. Since transmission is robust in…

Optics · Physics 2021-03-12 Yuhao Kang , Yiming Huang , Azriel Z. Genack

A consequence of the disorder and Coulomb interaction competition is the electron-glass phase observed in several Anderson-insulators. The disorder in these systems, typically degenerate semiconductors, is stronger than the interaction,…

Disordered Systems and Neural Networks · Physics 2022-06-15 Z. Ovadyahu

Topological superconductivity is an exotic quantum phenomenon with coupled nontrivial topological order and superconductivity together. A direct idea for producing topological superconductors is to create superconductivity based on the well…

Superconductivity · Physics 2022-08-23 Hao Yu , Noah F. Q. Yuan , Wei-Jian Li , Liu-Cheng Chen , Zi-Yu Cao , Di Li , Xiaoying Qin , Chang-De Gong , Xiao-Jia Chen

Anderson localization of light is a fundamental emergent phenomenon in disordered systems. In arrays of coupled waveguides, it suppresses transport and causes photons to remain localized near the excitation site as coupling disorder…

Critical phenomena and quantum phase transitions are paradigmatic concepts in modern condensed matter physics. A central example in the field of mesoscopic physics is the localization-delocalization (metal-insulator) quantum phase…

Mesoscale and Nanoscale Physics · Physics 2010-07-19 P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

The interplay of interactions and disorder is studied using the Anderson-Hubbard model within the typical medium dynamical cluster approximation. Treating the interacting, non-local cluster self-energy ($\Sigma_c[{\cal \tilde{G}}](i,j\neq…

Disordered Systems and Neural Networks · Physics 2015-12-02 C. E. Ekuma , S. -X. Yang , H. Terletska , K. -M. Tam , N. S. Vidhyadhiraja , J. Moreno , M. Jarrell

The classification of electron systems according to their topology has been at the forefront of condensed matter research in recent years. It has been found that systems of the same symmetry, previously thought of as equivalent, may in fact…

Strongly Correlated Electrons · Physics 2015-01-09 Jan Borchmann , Aaron Farrell , Shunji Matsuura , T. Pereg-Barnea

We develop a theory of topological transitions in a Floquet topological insulator, using graphene irradiated by circularly polarized light as a concrete realization. We demonstrate that a hallmark signature of such transitions in a static…

Mesoscale and Nanoscale Physics · Physics 2014-12-12 Arijit Kundu , H. A. Fertig , Babak Seradjeh