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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…

Disordered Systems and Neural Networks · Physics 2024-01-24 M. E. Ismagambetov , P. M. Ostrovsky

We investigate the effects of bulk impurities on the electronic spectrum of Weyl semimetals, a recently identified class of Dirac-type materials. Using a $T$-matrix approach, we study resonant scattering due to a localized impurity in tight…

Strongly Correlated Electrons · Physics 2013-04-16 Zhoushen Huang , Tanmoy Das , Alexander V. Balatsky , Daniel P. Arovas

Dirac-Weyl semimetals are unique three-dimensional (3D) phases of matter with gapless electrons and novel electrodynamic properties believed to be robust against weak perturbations. Here, we unveil the crucial influence of the disorder…

Mesoscale and Nanoscale Physics · Physics 2021-03-03 J. P. Santos Pires , B. Amorim , Aires Ferreira , İnanç Adagideli , Eduardo R. Mucciolo , J. M. Viana Parente Lopes

Weyl semimetal is a three-dimensional material with a conical spectrum near an even number of point nodes, where two bands touch each other. Here we study spectral properties of surface electron states in such a system. We show that the…

Mesoscale and Nanoscale Physics · Physics 2014-06-09 Alexander P. Protogenov , Valery A. Verbus , Evgueni V. Chulkov

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…

Disordered Systems and Neural Networks · Physics 2020-06-23 J. H. Pixley , Justin H. Wilson , David A. Huse , Sarang Gopalakrishnan

In this work we address the physics of individual three dimensional Weyl nodes subject to a moderate concentration of disorder. Previous analysis indicates the presence of a quantum phase transition below which disorder becomes irrelevant…

Disordered Systems and Neural Networks · Physics 2018-11-29 Michael Buchhold , Sebastian Diehl , Alexander Altland

We study the stability of three-dimensional incompressible Weyl semimetals in the presence of random quenched charge impurities. Combining numerical analysis and scaling theory we show that in the presence of sufficiently weak randomness…

Disordered Systems and Neural Networks · Physics 2016-06-01 Soumya Bera , Jay D. Sau , Bitan Roy

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,…

Disordered Systems and Neural Networks · Physics 2021-12-28 J. H. Pixley , Justin H. Wilson

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…

Mesoscale and Nanoscale Physics · Physics 2016-02-05 Hassan Shapourian , Taylor L. Hughes

We study the density of states and magnetotransport properties of disordered Weyl semimetals, focusing on the case of a strong long-range disorder. To calculate the disorder-averaged density of states close to nodal points, we treat exactly…

Mesoscale and Nanoscale Physics · Physics 2016-03-28 D. A. Pesin , E. G. Mishchenko , A. Levchenko

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…

Mesoscale and Nanoscale Physics · Physics 2014-07-14 Björn Sbierski , Gregor Pohl , Emil J. Bergholtz , Piet W. Brouwer

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…

Mesoscale and Nanoscale Physics · Physics 2022-11-04 J. P. Santos Pires , Simão M. João , Aires Ferreira , B. Amorim , J. M. Viana Parente Lopes

We numerically study the effect of short ranged potential disorder on massless noninteracting three-dimensional Dirac and Weyl fermions, with a focus on the question of the proposed quantum critical point separating the semimetal and…

Disordered Systems and Neural Networks · Physics 2016-07-20 J. H. Pixley , David A. Huse , S. Das Sarma

We present a theory of charge density wave (CDW) states in Weyl semimetals and their interplay with the chiral anomaly. In particular, we demonstrate a special nature of the shortest-period CDW state, which is obtained when the separation…

Strongly Correlated Electrons · Physics 2020-10-01 Dan Sehayek , Manisha Thakurathi , A. A. Burkov

The electronic structure of a cubic $\mathcal{T}$-symmetric Weyl semimetal is analysed in the presence of atomic-sized vacancy defects. Isolated vacancies are shown to generate nodal bound states with $r^{{\scriptscriptstyle -2}}$…

Mesoscale and Nanoscale Physics · Physics 2022-11-04 J. P. Santos Pires , S. M. João , Aires Ferreira , B. Amorim , J. M. Viana Parente Lopes

We study three-dimensional Dirac fermions with weak finite-range scalar potential disorder. We show that even though disorder is perturbatively irrelevant at 3D Dirac points, nonperturbative effects from rare regions give rise to a nonzero…

Strongly Correlated Electrons · Physics 2014-06-12 Rahul Nandkishore , David A. Huse , S. L. Sondhi

Following the intense studies on topological insulators, significant efforts have recently been devoted to the search for gapless topological systems. These materials not only broaden the topological classification of matter but also…

Weyl and Dirac semimetals are three dimensional phases of matter with gapless electronic excitations that are protected by topology and symmetry. As three dimensional analogs of graphene, they have generated much recent interest. Deep…

Strongly Correlated Electrons · Physics 2018-01-31 N. P. Armitage , E. J. Mele , Ashvin Vishwanath

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…

Statistical Mechanics · Physics 2014-06-12 Rahul Nandkishore , David A. Huse , S. L. Sondhi

Weyl Semimetals (WS) are a new class of Dirac-type materials exhibiting a phase with bulk energy nodes and an associated vanishing density of states (DOS). We investigate the stability of this nodal DOS suppression in the presence of local…

Strongly Correlated Electrons · Physics 2013-12-17 Zhoushen Huang , Daniel P. Arovas , Alexander V. Balatsky
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