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We study non-interacting systems with a power-law quasiparticle dispersion $\xi_{\bf k}\propto k^\alpha$ and a random short-range-correlated potential. We show that, unlike the case of lower dimensions, for $d>2\alpha$ there exists a…

介观与纳米尺度物理 · 物理学 2015-06-23 S. V. Syzranov , V. Gurarie , L. Radzihovsky

Weyl semimetals are paradigmatic topological gapless phases in three dimensions. We here address the effect of disorder on charge transport in Weyl semimetals. For a single Weyl node with energy at the degeneracy point and without…

介观与纳米尺度物理 · 物理学 2014-07-14 Björn Sbierski , Gregor Pohl , Emil J. Bergholtz , Piet W. Brouwer

Weyl semimetal is a solid material with isolated touching points between conduction and valence bands in its Brillouin zone -- Weyl points. Low energy excitations near these points exhibit a linear dispersion and act as relativistic…

无序系统与神经网络 · 物理学 2024-01-24 M. E. Ismagambetov , P. M. Ostrovsky

We study a 1D system with a power-law quasiparticle dispersion $\propto |k|^\alpha\sign k$ in the presence of a short-range-correlated random potential and demonstrate that for $\alpha<1/2$ it exhibits a disorder-driven quantum phase…

介观与纳米尺度物理 · 物理学 2015-08-19 M. Garttner , S. V. Syzranov , A. M. Rey , V. Gurarie , L. Radzihovsky

We study Weyl semimetals in the presence of generic disorder, consisting of a random vector potential as well as a random scalar potential. We derive renormalization group flow equations to second order in the disorder strength. These flow…

介观与纳米尺度物理 · 物理学 2016-12-14 Björn Sbierski , Kevin S. C. Decker , Piet W. Brouwer

A Weyl semimetal denotes an electronic phase of solids in which two bands cross linearly. In this paper we study the effect of a spatially correlated disorder on such a phase. Using a renormalization group analysis, we show that in three…

介观与纳米尺度物理 · 物理学 2017-02-06 Thibaud Louvet , David Carpentier , Andrei A. Fedorenko

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…

无序系统与神经网络 · 物理学 2020-04-08 Miguel Gonçalves , Pedro Ribeiro , Eduardo V. Castro , Miguel A. N. Araújo

We analyze theoretically the conductivity of Weyl semimetals within the self-consistent Born approximation (SCBA) in the full range of disorder strength, from weak to strong disorder. In the range of intermediate disorder, we find a…

无序系统与神经网络 · 物理学 2019-10-01 J. Klier , I. V. Gornyi , A. D. Mirlin

A Weyl semimetal is a three dimensional topological gapless phase. In the presence of strong enough disorder it undergoes a quantum transition towards a diffusive metal phase whose universality class depends on the range of disorder…

无序系统与神经网络 · 物理学 2019-10-18 Eric Brillaux , David Carpentier , Andrei A. Fedorenko

Systems with the power-law quasiparticle dispersion $\epsilon_{\bf k}\propto k^\alpha$ exhibit non-Anderson disorder-driven transitions in dimensions $d>2\alpha$, as exemplified by Weyl semimetals, 1D and 2D arrays of ultracold ions with…

介观与纳米尺度物理 · 物理学 2016-11-28 S. V. Syzranov , V. Gurarie , L. Radzihovsky

Disorder in Weyl semimetals and superconductors is surprisingly subtle, attracting attention and competing theories in recent years. In this brief review, we discuss the current theoretical understanding of the effects of short-ranged,…

无序系统与神经网络 · 物理学 2021-12-28 J. H. Pixley , Justin H. Wilson

Using the Feynman diagram techniques, we derive the finite-temperature conductivity and magnetoconductivity formulas from the quantum interference and electron-electron interaction, for a three-dimensional disordered Weyl semimetal. For a…

介观与纳米尺度物理 · 物理学 2015-07-15 Hai-Zhou Lu , Shun-Qing Shen

We study the dynamics of Dirac and Weyl electrons in disordered point-node semimetals. The ballistic feature of the transport is demonstrated by simulating the wave-packet dynamics on lattice models. We show that the ballistic transport…

无序系统与神经网络 · 物理学 2020-07-01 Koji Kobayashi , Miku Wada , Tomi Ohtsuki

We present the first theoretical study of transport properties of Weyl semimetals with point defects. Focusing on a class of time-reversal symmetric Weyl lattice models, we show that dilute lattice vacancies induce a finite density of…

介观与纳米尺度物理 · 物理学 2022-11-04 J. P. Santos Pires , Simão M. João , Aires Ferreira , B. Amorim , J. M. Viana Parente Lopes

Topological Weyl semimetals, besides manifesting chiral anomaly, can also accommodate a disorder-driven unconventional quantum phase transition into a metallic phase. A fundamentally and practically important question in this regard…

介观与纳米尺度物理 · 物理学 2016-09-15 Bitan Roy , Vladimir Juricic , Sankar Das Sarma

Disordered non-interacting systems in sufficiently high dimensions have been predicted to display a non-Anderson disorder-driven transition that manifests itself in the critical behaviour of the density of states and other physical…

介观与纳米尺度物理 · 物理学 2016-04-13 S. V. Syzranov , P. M. Ostrovsky , V. Gurarie , L. Radzihovsky

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…

介观与纳米尺度物理 · 物理学 2017-08-16 J. Gonzalez

Three-dimensional Dirac and Weyl semimetals exhibit a disorder-induced quantum phase transition between a semimetallic phase at weak disorder and a diffusive-metallic phase at strong disorder. Despite considerable effort, both numerically…

介观与纳米尺度物理 · 物理学 2015-09-30 Björn Sbierski , Emil J. Bergholtz , Piet W. Brouwer

In this paper, we numerically study the magnetic transport properties of disordered Weyl semimetals (WSM) in the ultra-quantum limit. We find a positive magnetic conductivity for the long-range disorder, although the system tends to have…

介观与纳米尺度物理 · 物理学 2016-04-27 Chui-Zhen Chen , Haiwen Liu , Hua Jiang , X. C. Xie

Weyl semimetals host relativistic chiral quasiparticles, which display quantum anomalies in the presence of external electromagnetic fields. Here, we study the manifestations of chiral anomalies in the longitudinal and planar…

介观与纳米尺度物理 · 物理学 2023-01-06 Kamal Das , Sahil Kumar Singh , Amit Agarwal
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