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In this communication, we numerically studied disordered quantum transport in a quantum anomalous Hall insulator-superconductor junction based on the effective edge model approach. In particular, we focus on the parameter regime with the…

Superconductivity · Physics 2020-10-21 Jian-Xiao Zhang , Chao-Xing Liu

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

In two dimensions chaotic level-statistics is expected for massless Dirac fermions in the presence of disorder. For weakly disordered graphene flakes with zigzag edges the obtained level-spacing distribution in the Dirac region is neither…

Disordered Systems and Neural Networks · Physics 2013-02-12 H. Amanatidis , I. Kleftogiannis , D. E. Katsanos , S. N. Evangelou

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

Recent breakthrough on topological Anderson insulators revealed the breakdown of the traditional perception that sufficiently strong disorder may induce the appearance of topological protected transport states instead of destruction.…

Mesoscale and Nanoscale Physics · Physics 2021-11-15 Hui Liu , Boyang Xie , Haonan Wang , Wenwei Liu , Zhancheng Li , Hua Cheng , Jianguo Tian , Zhengyou Liu , Shuqi Chen

Two-dimensional superconductors with time-reversal symmetry have a Z_2 topological invariant, that distinguishes phases with and without helical Majorana edge states. We study the topological phase transition in a class-DIII network model,…

Mesoscale and Nanoscale Physics · Physics 2012-08-07 I. C. Fulga , A. R. Akhmerov , J. Tworzydło , B. Béri , C. W. J. Beenakker

We develop a topological theory for disordered Weyl semimetals in the framework of gauge invariance of replica formalism and boundary-bulk correspondence of Chern insulators. An anisotropic topological $\theta$-term is analytically derived…

Mesoscale and Nanoscale Physics · Physics 2016-11-21 Y. X. Zhao , Z. D. Wang

Amorphous systems have rapidly gained promise as novel platforms for topological matter. In this work we establish a scaling theory of amorphous topological phase transitions driven by the density of lattice points in two dimensions. By…

Mesoscale and Nanoscale Physics · Physics 2020-01-22 Isac Sahlberg , Alex Westström , Kim Pöyhönen , Teemu Ojanen

A series of recent experimental works on twisted MoTe$_2$ homobilayers have unveiled an abundance of exotic states in this system. Valley-polarized quantum anomalous Hall states have been identified at hole doping of $\nu = -1$, and the…

Mesoscale and Nanoscale Physics · Physics 2024-04-16 Xiaoyu Liu , Chong Wang , Xiao-Wei Zhang , Ting Cao , Di Xiao

We propose a two-dimensional non-Hermitian Chern insulator with inversion symmetry, which is anisotropic and has staggered gain and loss in both x and y directions. In this system, conventional bulk-boundary correspondence holds. The Chern…

Mesoscale and Nanoscale Physics · Physics 2019-10-11 H. C. Wu , L. Jin , Z. Song

The hallmark property of two-dimensional topological materials is the incredible robustness of the quantized Hall conductivity to disorder. That robustness arises from the fact that in the topological band gap, transport can occur only…

Moir\'e semiconductors built on angle-aligned transition metal dichalcogenide (TMD) heterobilayers provide a physical realization of the Kondo lattice model, in which one TMD layer is prepared in a Mott insulating state supporting a lattice…

In condensed matter physics, symmetry profoundly governs the fundamentals of topological matter. The emergence of new topological phase is typically linked to the enrichment of symmetries. Different parity-time symmetry relations…

Mesoscale and Nanoscale Physics · Physics 2022-09-15 Xiao Xiang , Feng Gao , Yugui Peng , Qili Sun , Jie Zhu , Xuefeng Zhu

Disorder or sufficiently strong interactions can render a metallic state unstable causing it to turn into an insulating one. Despite the fact that the interplay of these two routes to a vanishing conductivity has been a central research…

Strongly Correlated Electrons · Physics 2016-10-07 Andrey E. Antipov , Younes Javanmard , Pedro Ribeiro , Stefan Kirchner

We investigate theoretically the simultaneous tunneling of two electrons from a superconductor into a normal metal at low temperatures and voltages. Such an emission process is shown to be equivalent to the Andreev reflection of an incident…

Mesoscale and Nanoscale Physics · Physics 2009-11-10 E. Prada , F. Sols

The Anderson metal-insulator transition is a fundamental phenomenon in condensed matter physics, describing the transition from a conducting (metallic) to a non-conducting (insulating) state driven by disorder in a material. At the critical…

Disordered Systems and Neural Networks · Physics 2025-06-04 Eszter Papp , Gabor Vattay

We study ground state and finite temperature properties of disordered heavy fermion metals by using a generalization of dynamical mean field theory which incorporates Anderson localization effects. The emergence of a non-Fermi liquid…

Strongly Correlated Electrons · Physics 2007-05-23 M. C. O. Aguiar , E. Miranda , V. Dobrosavljevic

A picture of thermal QCD phase change based on the analogy with metal-to-insulator transition of Anderson type was proposed in the past. In this picture, a low-$T$ thermal state is akin to a metal with deeply infrared (IR) Dirac modes…

High Energy Physics - Lattice · Physics 2022-09-07 Andrei Alexandru , Ivan Horváth

Three-dimensional topological insulators are characterized by the presence of a bandgap in their bulk and gapless Dirac fermions at their surfaces. New physical phenomena originating from the presence of the Dirac fermions are predicted to…

Mesoscale and Nanoscale Physics · Physics 2011-12-12 B. Sacepe , J. B. Oostinga , J. Li , A. Ubaldini , N. J. G. Couto , E. Giannini , A. F. Morpurgo

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
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