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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 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

We explore the stability of three-dimensional Weyl and Dirac semimetals subject to quasiperiodic potentials. We present numerical evidence that the semimetal is stable for weak quasiperiodic potentials, despite being unstable for weak…

无序系统与神经网络 · 物理学 2020-06-23 J. H. Pixley , Justin H. Wilson , David A. Huse , Sarang Gopalakrishnan

An analytic theory of electron transport in disordered graphene in a ballistic geometry is developed. We consider a sample of a large width W and analyze the evolution of the conductance, the shot noise, and the full statistics of the…

介观与纳米尺度物理 · 物理学 2009-02-03 A. Schuessler , P. M. Ostrovsky , I. V. Gornyi , A. D. Mirlin

Motivated by Weyl semimetals and weakly doped semiconductors, we study transport in a weakly disordered semiconductor with a power-law quasiparticle dispersion $\xi_{\bf k}\propto k^\alpha$. We show, that in $2\alpha$ dimensions…

介观与纳米尺度物理 · 物理学 2015-04-29 S. V. Syzranov , L. Radzihovsky , V. Gurarie

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

We present a theoretical investigation of the electronic band structure and optical properties of a two-dimensional anisotropic semimetal that is described by a tilted semi-Dirac type spectrum with a pair of Weyl nodes. We observe that a…

介观与纳米尺度物理 · 物理学 2025-08-13 Suheel Ahmad Malik , M. A. H. Ahshan , SK Firoz Islam

We investigate the quasi-particle and transport properties of a model describing interacting Dirac and Weyl semimetals in the presence of local Hubbard repulsion $U$, where we explicitly include a deviation from the linearity of the…

强关联电子 · 物理学 2025-03-18 Arianna Poli , Niklas Wagner , Max Fischer , Alessandro Toschi , Giorgio Sangiovanni , Sergio Ciuchi

We study three-dimensional Dirac fermions with weak finite-range scalar potential disorder. In the clean system, the density of states vanishes quadratically at the Dirac point. Disorder is known to be perturbatively irrelevant, and…

统计力学 · 物理学 2014-06-12 Rahul Nandkishore , David A. Huse , S. L. Sondhi

Weyl semimetals have been intensely studied as a three dimensional realization of a Dirac-like excitation spectrum where the conduction bands and valence bands touch at isolated Weyl points in momentum space. Like in graphene, this property…

强关联电子 · 物理学 2017-11-22 Tobias Holder , Chia-Wei Huang , Pavel Ostrovsky

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

In disordered Weyl semimetals, mechanisms of topological origin lead to novel mechanisms of transport, which manifest themselves in unconventional types of electromagnetic response. Prominent examples of transport phenomena particular to…

介观与纳米尺度物理 · 物理学 2016-02-10 Alexander Altland , Dmitry Bagrets

Ultracold atoms in optical lattices offer a unique platform for investigating disorder-driven phenomena. While static disordered site potentials have been explored in a number of optical lattice experiments, a more general control over…

量子气体 · 物理学 2017-09-28 Fangzhao Alex An , Eric J. Meier , Bryce Gadway

Although Lorentz invariance forbids the presence of a term that tilts the energy-momentum relation in the Weyl Hamiltonian, a tilted dispersion is not forbidden and, in fact, generic for condensed matter realizations of Weyl semimetals. We…

介观与纳米尺度物理 · 物理学 2017-02-13 Maximilian Trescher , Björn Sbierski , Piet W. Brouwer , Emil J. Bergholtz

It is commonly believed that a non-interacting disordered electronic system can undergo only the Anderson metal-insulator transition. It has been suggested, however, that a broad class of systems can display disorder-driven transitions…

介观与纳米尺度物理 · 物理学 2018-03-23 S. V. Syzranov , L. Radzihovsky

Weyl semimetals are gapless quasi-topological materials with a set of isolated nodal points forming their Fermi surface. They manifest their quasi-topological character in a series of topological electromagnetic responses including the…

介观与纳米尺度物理 · 物理学 2016-02-05 Hassan Shapourian , Taylor L. Hughes

Weyl semimetals are phases of matter with excitations effectively described by massless Dirac fermions. Their critical nature makes unclear the persistence of such phase in presence of disorder. We present a theorem ensuring the stability…

强关联电子 · 物理学 2020-07-08 Vieri Mastropietro

In quantum mechanics, a particle is best described by the wave packet instead of the plane wave. Here, we study the wave-packet scattering problem in Weyl semimetals with the low-energy Weyl fermions of different chiralities. Our results…

介观与纳米尺度物理 · 物理学 2016-06-08 Qing-Dong Jiang , Hua Jiang , Haiwen Liu , Qing-Feng Sun , X. C. Xie

Unidirectional transports have been observed in two-dimensional systems, however, so far they have not been experimentally observed in three-dimensional bulk materials. In this theoretical work we show that the recently discovered Weyl…

强关联电子 · 物理学 2016-08-08 Ren Bi , Zhong Wang
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