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Localization due to disorder has been one of the most intriguing theoretical concepts evolved in condensed matter. Here, we expand the theory of localization by considering two types of disorder at the same time, namely the original…

Disordered Systems and Neural Networks · Physics 2023-03-03 Mouyang Cheng , Haoxiang Chen , Ji Chen

We study topology in gapless phases of an interacting spinful model with spin-charge separation. We focus on the gapless boundaries between $\mathbb{Z}_2$ symmetry-breaking phases. We find two topologically non-trivial gapless states that…

Strongly Correlated Electrons · Physics 2026-03-27 Polina Matveeva , Dmitri Gutman , Sam T. Carr

Anderson's localization on the edge of two dimensional time reversal (TR) topological insulator (TI) is studied. For the non-interacting case the topological protection acts accordingly to the $\mathbb{Z}_2$ classification, leading to…

Strongly Correlated Electrons · Physics 2015-09-02 Raul A. Santos , D. B. Gutman

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

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

The interplay between Mott and Anderson routes to localization in disordered interacting systems gives rise to different transitions and transport regimes. Here, we investigate the phase diagram at finite temperatures using dynamical mean…

Strongly Correlated Electrons · Physics 2015-09-25 Helena Braganca , M. C. O. Aguiar , J. Vucicevic , D. Tanaskovic , V. Dobrosavljevic

We study a generalized Aubry-Andre model that obeys $\mathcal{PT}$-symmetry. We observe a robust $\mathcal{PT}$-symmetric phase with respect to system size and disorder strength, where all eigenvalues are real despite the Hamiltonian being…

Disordered Systems and Neural Networks · Physics 2021-02-03 Sebastian Schiffer , Xia-Ji Liu , Hui Hu , Jia Wang

The quadrupole topological insulator (QTI) has attracted intense studies as a prototype of symmetry-protected higher-order topological phases of matter with a quantized quadrupole moment. The realization of QTIs has been reported in various…

Mesoscale and Nanoscale Physics · Physics 2022-06-08 Zhen Ning , Bo Fu , Dong-Hui Xu , Rui Wang

Nontrivial band topology along with magnetism leads to different novel quantum phases. When time-reversal-symmetry is broken in three-dimensional topological insulators (TIs) by applying high enough magnetic field or proximity effect,…

Mesoscale and Nanoscale Physics · Physics 2023-09-11 Nezhat Pournaghavi , Banasree Sadhukhan , Anna Delin

We investigate the effects of magnetic and nonmagnetic impurities on the two-dimensional surface states of three-dimensional topological insulators (TIs). Modeling weak and strong TIs using a generic four-band Hamiltonian, which allows for…

Mesoscale and Nanoscale Physics · Physics 2016-02-26 Andreas Pieper , Holger Fehske

We examine the onset of Anderson localization in three-dimensional systems with structural disorder in the form of lattice irregularities and in the absence of any on-site disordered potential. Analyzing two models with distinct types of…

Disordered Systems and Neural Networks · Physics 2025-05-29 Sourav Bhattacharjee , Piotr Sierant , Marek Dudyński , Jan Wehr , Jakub Zakrzewski , Maciej Lewenstein

Topological insulators are a broad class of unconventional materials that are insulating in the interior but conduct along the edges. This edge transport is topologically protected and dissipationless. Until recently, all existing…

In typical topological insulator (TI) systems the TI is bordered by a non-TI insulator, and the surrounding conventional insulators, including vacuum, are not generally treated as part of the TI system. Here, we implement the first material…

Topological insulators are characterized by specially protected conduction on their outer boundaries. We show that the protected edge conduction exhibited by 2-D topological insulators (and also Chern insulators) is independent of…

Mesoscale and Nanoscale Physics · Physics 2015-09-01 Quansheng Wu , Liang Du , Vincent E. Sacksteder

Topological lasers and random lasers embody two contrasting strategies for disorder management in photonics: the former suppresses disorder via protected edge transport, while the latter exploits multiple scattering for feedback. Here, we…

Optics · Physics 2026-04-06 Hang-Zheng Shen , Xian-Hao Wei , Xi-Wang Luo , Zheng-Wei Zhou

Topological defects with symmetry-breaking phase transitions have captured much attention. Vortex generated by topological defects exhibits exotic properties and its flow direction can be switched by altering the spin configurations.…

Classical Physics · Physics 2018-07-18 Jiujiu Chen , Hongbo Huang , Shaoyong Huo , Zhuhua Tan , Xiaoping Xie , Jianchun Cheng

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

Topological insulator (TI) states have been demonstrated in materials with narrow gap and large spin-orbit interactions (SOI). Here we demonstrate that nanoscale engineering can also give rise to a TI state, even in conventional…

Materials Science · Physics 2015-06-05 M. S. Miao , Q. Yan , C. G. Van de Walle , W. K. Lou , L. L. Li , K. Chang

Non-Hermitian systems have provided a rich platform to study unconventional topological phases.These phases are usually robust against external perturbations that respect certain symmetries of thesystem. In this work, we provide a new…

Disordered Systems and Neural Networks · Physics 2022-11-28 Anouar Moustaj , Lumen Eek , Cristiane Morais Smith

Amorphous solids remain outside of the classification and systematic discovery of new topological materials, partially due to the lack of realistic models that are analytically tractable. Here we introduce the topological Weaire-Thorpe…

Disordered Systems and Neural Networks · Physics 2020-11-20 Quentin Marsal , Daniel Varjas , Adolfo G. Grushin
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