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Quantum phase transitions of three-dimensional (3D) Weyl semimetals (WSMs) subject to uncorrelated on-site disorder are investigated through quantum conductance calculations and finite-size scaling of localization length. Contrary to…

Disordered Systems and Neural Networks · Physics 2017-06-27 Ying Su , X. S. Wang , X. R. Wang

In electronic band structure of solid state material, two band touching points with linear dispersion appear in pair in the momentum space. When they annihilate with each other, the system undergoes a quantum phase transition from…

Disordered Systems and Neural Networks · Physics 2018-01-24 Xunlong Luo , Baolong Xu , Tomi Ohtsuki , Ryuichi Shindou

The Chern-Hopf insulator is an unconventional three-dimensional topological insulator with a bulk gap and gapless boundary states without protection from global discrete symmetries. This study investigates its fate in the presence of…

Disordered Systems and Neural Networks · Physics 2025-05-13 Soumya Bera , Ivan Dutta , Roderich Moessner , Kush Saha

The gapless Bogoliubov-de Gennes (BdG) quasiparticles of a clean three dimensional spinless $p_x+ip_y$ superconductor provide an intriguing example of a thermal Hall semimetal (ThSM) phase of Majorana-Weyl fermions in class D of the…

Disordered Systems and Neural Networks · Physics 2017-04-19 Justin H. Wilson , J. H. Pixley , Pallab Goswami , S. Das Sarma

The Weyl semimetal (WSM) is a newly proposed quantum state of matter. It has Weyl nodes in bulk excitations and Fermi arcs surface states. We study the effects of disorder and localization in WSMs and find three exotic phase transitions.…

Mesoscale and Nanoscale Physics · Physics 2015-12-16 Chui-Zhen Chen , Juntao Song , Hua Jiang , Qing-feng Sun , Ziqiang Wang , X. C. Xie

The double Weyl semimetal (DWSM) is a newly proposed topological material that hosts Weyl points with chiral charge n=2. The disorder effect in DWSM is investigated by adopting the tight-binding Hamiltonian. Using the transfer matrix method…

Mesoscale and Nanoscale Physics · Physics 2022-11-23 Jiayan Zhang , Fei Wan , Xinru Wang , Ying Ding , Liehong Liao , Zhihui Chen , M. N. Chen , Yuan Li

Two-dimensional non-interacting fermions without any anti-unitary symmetries generically get Anderson localized in the presence of disorder. In contrast, topological superconductors with their inherent particle-hole symmetry can host a…

Mesoscale and Nanoscale Physics · Physics 2026-01-01 Subrata Pachhal , Naba P. Nayak , Soumya Bera , Adhip Agarwala

The quantum phase transition between the three dimensional Dirac semimetal and the diffusive metal can be induced by increasing disorder. Taking the system of disordered $\mathbb{Z}_2$ topological insulator as an important example, we…

Mesoscale and Nanoscale Physics · Physics 2014-01-10 Koji Kobayashi , Tomi Ohtsuki , Ken-Ichiro Imura , Igor F. Herbut

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

We study the quantum phase diagram of a three dimensional non-interacting Dirac semimetal in the presence of either quenched axial or scalar potential disorder, by calculating the average and the typical density of states as well as the…

Disordered Systems and Neural Networks · Physics 2015-08-21 J. H. Pixley , Pallab Goswami , S. Das Sarma

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

The effect of short-range disorder in nodal line semimetals is studied by numerically exact means. For arbitrary small disorder, a novel semimetallic phase is unveiled for which the momentum-space amplitude of the ground-state wave function…

Disordered Systems and Neural Networks · Physics 2020-04-08 Miguel Gonçalves , Pedro Ribeiro , Eduardo V. Castro , Miguel A. N. Araújo

We analyse the topological transition and localization evolution of disordered two dimensional systems with non trivial topology based on bipartite lattices. Chern insulators with broken time reversal symmetry show non standard behavior for…

Mesoscale and Nanoscale Physics · Physics 2015-09-03 Eduardo V. Castro , M. Pilar López-Sancho , María A. H. Vozmediano

The quantum Hall effect, fundamental in modern condensed matter physics, continuously inspires new theories and predicts emergent phases of matter. Here we experimentally demonstrate three types of Chern insulators with synthetic dimensions…

Here we study the instabilities of a quadratic band crossing system to Chern insulating states and uncorrelated disorder. We determined the phase diagram in the plane of topological mass versus disorder strength, characterizing the system…

Disordered Systems and Neural Networks · Physics 2025-02-19 Nicolau Sobrosa , Miguel Gonçalves , Eduardo V. Castro

We calculate the corrections to the conductivity and compressibility of a disordered metal when the mean free path is smaller than the screening length. Such a condition is shown to be realized for low densities and large disorder. Analysis…

Strongly Correlated Electrons · Physics 2009-10-31 Qimiao Si , C. M. Varma

We investigate the emergence of both quantum anomalous Hall and disorder-induced Anderson Chern insulating phases in two dimensional hexagonal lattices, with antiferromagnetically ordered 3Q state and in the absence of spin-orbit coupling.…

Mesoscale and Nanoscale Physics · Physics 2019-11-06 Papa Bireme Ndiaye , Adel Abbout , Aurelien Manchon

Disorder effects on three-dimensional second-order topological insulators (3DSOTIs) are investigated numerically and analytically. The study is based on a tight-binding Hamiltonian for non-interacting electrons on a cubic lattice with a…

Mesoscale and Nanoscale Physics · Physics 2020-10-07 C. Wang , X. R. Wang

The quantum phase diagram of disordered wires in a strong magnetic field is studied as a function of wire width and energy. The two-terminal conductance shows zero-temperature discontinuous transitions between exactly integer plateau values…

Mesoscale and Nanoscale Physics · Physics 2009-11-11 Alexander Struck , Bernhard Kramer , Tomi Ohtsuki , Stefan Kettemann

We investigate the low-energy scaling behavior of an interacting 3D Weyl semimetal in the presence of disorder. In order to achieve a renormalization group analysis of the theory, we focus on the effects of a short-ranged-correlated…

Mesoscale and Nanoscale Physics · Physics 2017-08-16 J. Gonzalez
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