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Recently, the impact of disorder on topological properties has attracted significant attention in photonics, especially the intriguing disorder-induced topological phase transitions in photonic topological Anderson insulators (PTAIs).…

Optics · Physics 2025-01-22 Zhe Li , Ziming Chen , Deyang Kong , Yongzhuo Li , Kaiyu Cui , Xue Feng , Yidong Huang

Occurrence of topological Anderson insulator (TAI) in HgTe quantum well suggests that when time-reversal symmetry (TRS) is maintained, the pertinent topological phase transition, marked by re-entrant $2e^2/h$ quantized conductance…

Mesoscale and Nanoscale Physics · Physics 2016-07-06 Ying Su , Y. Avishai , X. R. Wang

Recently, it has been proposed that exotic one-dimensional phases can be realized by gapping out the edge states of a fractional topological insulator. The low-energy edge degrees of freedom are described by a chain of coupled parafermions.…

Strongly Correlated Electrons · Physics 2013-10-11 Johannes Motruk , Ari M. Turner , Erez Berg , Frank Pollmann

Magnet-superconductor hybrid heterostructures constitute a promising candidate system for the quantum engineering of chiral topological superconductivity. Here, we investigate the stability of their topological phases in the presence of…

Superconductivity · Physics 2019-12-11 Eric Mascot , Chaitra Agrahar , Stephan Rachel , Dirk K. Morr

The major breakthroughs in the understanding of topological materials over the past decade were all triggered by the discovery of the Z$_2$ topological insulator (TI). In three dimensions (3D), the TI is classified as either "strong" or…

A 3D layered system of charges with logarithmic interaction parallel to the layers and random dipoles is studied via a novel variational method and an energy rationale which reproduce the known phase diagram for a single layer. Increasing…

Condensed Matter · Physics 2016-08-31 Baruch Horovitz , Pierre Le Doussal

We present theoretical and experimental results probing the rich topological structure of arbitrarily disordered finite tight binding Hamiltonians with chiral symmetry. We extend the known classification by considering the topological…

Mesoscale and Nanoscale Physics · Physics 2025-05-19 Maxine M. McCarthy , D. M. Whittaker

We study the combined effects of disorder and range of the couplings on the phase diagram of one-dimensional topological superconductors. We consider an extended version of the Kitaev chain where hopping and pairing terms couple many sites.…

Strongly Correlated Electrons · Physics 2023-04-28 Gianluca Francica , Edoardo Maria Tiburzi , Luca Dell'Anna

In an ideal InAs/GaSb bilayer of appropriate dimension in-plane electron and hole bands overlap and hybridize, and a topologically non-trivial, or quantum spin Hall (QSH) insulator, phase is predicted to exist. The in-plane dispersion's…

Disorder plays an important role in two dimensions, and is responsible for striking phenomena such as metal insulator transition and the integral and fractional quantum Hall effects. In this paper, we investigate the role of disorder in the…

Mesoscale and Nanoscale Physics · Physics 2009-04-06 Jian Li , Rui-Lin Chu , J. K. Jain , Shun-Qing Shen

We analyze the influence of disorder and strong correlations on the topology in two dimensional Chern insulators. A mean field calculation in the half-filled Haldane model with extended Hubbard interactions and Anderson disorder shows that…

Strongly Correlated Electrons · Physics 2024-09-19 Joao S. Silva , Eduardo V. Castro , Rubem Mondaini , María A. H. Vozmediano , M. Pilar López-Sancho

We study non-interacting electrons in disordered one-dimensional materials which exhibit a spectral gap, in each of the ten Altland-Zirnbauer symmetry classes. We define an appropriate topology on the space of Hamiltonians so that the…

Mathematical Physics · Physics 2023-07-04 Jui-Hui Chung , Jacob Shapiro

Based on the MFT arguments, a general description for discontinuous phase transitions in the presence temporal disorder is considered. Our analysis extends the recent findings [Phys. Rev. E {\bf 98}, 032129 (2018)] by considering other…

Statistical Mechanics · Physics 2021-03-24 Jesus M. Encinas , C. E. Fiore

To harness the true potential of topological insulators as quantum materials for information processing, it is imperative to maximise topological surface state conduction, while simulateneously improving their quantum coherence. However,…

Mesoscale and Nanoscale Physics · Physics 2018-08-21 Abhishek Banerjee , R. Ganesan , P. S. Anil Kumar

Topological Anderson insulators represent a class of disorder-induced, nontrivial topological states of matter. In this study, we propose a feasible strategy to unveil and design topological Anderson insulators protected by latent…

Disordered Systems and Neural Networks · Physics 2026-03-05 Jing-Run Lin , Shuo Wang , Hui Li , Zheng-Wei Zuo

We investigate a transition between a two-dimensional topological insulator conduction state, characterized by a conductance $G=2$ (in fundamental units $e^2/h$) and a Chern insulator with $G=1$, induced by polarized magnetic impurities.…

Mesoscale and Nanoscale Physics · Physics 2015-08-12 Laurent Raymond , Alberto D. Verga , Arnaud Demion

We derive the expression for the local Hall conductivity for systems that lack translation symmetry and use it to study the local fluctuations of the Hall signal around disordered patches in magnetic insulators. We find that the regime in…

Mesoscale and Nanoscale Physics · Physics 2026-03-11 Zachariah Addison , Nandini Trivedi

Disorder, which is ubiquitous in nature, has been extensively explored in photonics for understanding the fundamental principles of light diffusion and localization, as well as for applications in functional resonators and random lasers.…

The topological Anderson and Mott insulators are two phases that have so far been separately and widely explored beyond topological band insulators. Here we combine the two seemingly different topological phases into a system of spin-1/2…

Quantum Gases · Physics 2021-11-10 Guo-Qing Zhang , Ling-Zhi Tang , Ling-Feng Zhang , Dan-Wei Zhang , Shi-Liang Zhu

The defining feature of topological insulators is that their valence states are not continuously deformable to a suitably defined atomic limit without breaking the symmetry or closing the energy gap. When the atomic limit is given by…

Mesoscale and Nanoscale Physics · Physics 2025-06-06 Zoltán Guba , Aris Alexandradinata , Tomáš Bzdušek