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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…

Strongly Correlated Electrons · Physics 2020-07-08 Vieri Mastropietro

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

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…

Strongly Correlated Electrons · Physics 2017-11-22 Tobias Holder , Chia-Wei Huang , Pavel Ostrovsky

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…

Mesoscale and Nanoscale Physics · Physics 2017-02-06 Thibaud Louvet , David Carpentier , Andrei A. Fedorenko

We study the phase diagram of a Dirac semimetal in a magnetic field at a nonzero charge density. It is shown that there exists a critical value of the chemical potential at which a first-order phase transition takes place. At subcritical…

Mesoscale and Nanoscale Physics · Physics 2013-10-09 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy

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…

Mesoscale and Nanoscale Physics · Physics 2016-12-14 Björn Sbierski , Kevin S. C. Decker , Piet W. Brouwer

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

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…

Disordered Systems and Neural Networks · Physics 2019-10-18 Eric Brillaux , David Carpentier , Andrei A. Fedorenko

Weyl semimetal defines a material with three dimensional Dirac cones which appear in pair due to the breaking of spatial inversion or time reversal symmetry. Superconductivity is the state of quantum condensation of paired electrons.…

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

We investigate the nature of the magnetic phase transition induced by the short-ranged electron-electron interactions in a Weyl semimetal by using the perturbative renormalization-group method. We find that the critical point associated…

Strongly Correlated Electrons · Physics 2017-07-19 Yu-Li Lee , Yu-Wen Lee

Weyl semimetals are a new class of Dirac material that posses bulk energy nodes in three dimensions. In this paper, we study a Weyl semimetal subject to an applied magnetic field. We derive expressions for the density of states, electronic…

Strongly Correlated Electrons · Physics 2014-04-30 Phillip E. C. Ashby , J. P. Carbotte

We theoretically study the interplay of short-ranged random and quasiperiodic static potentials on the low-energy properties of three-dimensional Weyl semimetals. This setting allows us to investigate the connection between the semimetal to…

Disordered Systems and Neural Networks · Physics 2024-07-01 J. H. Pixley , David A. Huse , Justin H. Wilson

When a metal undergoes continuous quantum phase transition, the correlation length diverges at the critical point and the quantum fluctuation of order parameter behaves as a gapless bosonic mode. Generically, the coupling of this boson to…

Superconductivity · Physics 2018-05-22 Xin Li , Jing-Rong Wang , Guo-Zhu Liu

We match analytic results to numerical calculations to provide a detailed picture of the metal-insulator and topological transitions found in density functional plus cluster dynamical mean-field calculations of pyrochlore iridates. We…

Strongly Correlated Electrons · Physics 2017-11-30 Runzhi Wang , Ara Go , Andrew Millis

We propose a realization of the Weyl semimetal phase that is invariant under time reversal and occurs due to broken inversion symmetry. We consider both a simple superlattice model and a more realistic tight-binding model describing an…

Mesoscale and Nanoscale Physics · Physics 2012-02-28 Gábor B. Halász , Leon Balents

Weyl semimetals (WSMs) are characterized by topologically stable pairs of nodal points in the band structure, that typically originate from splitting a degenerate Dirac point by breaking symmetries such as time reversal or inversion…

Strongly Correlated Electrons · Physics 2020-01-29 L. Crippa , A. Amaricci , N. Wagner , G. Sangiovanni , J. C. Budich , M. Capone

The recent discoveries of ferroelectric metal and Weyl semimetal (WSM) have stimulated a natural question: whether these two exotic states of matter can coexist in a single material or not. These two discoveries ensure us that physically it…

The average density of states in a disordered three-dimensional Weyl system is discussed in the case of a continuous distribution of random scattering. Our result clearly indicate that the average density of states does not vanish,…

Disordered Systems and Neural Networks · Physics 2018-10-16 K. Ziegler , A. Sinner

Weyl semimetals are phases of matter with gapless electronic excitations that are protected by topology and symmetry. Their properties depend on the dimensions of the systems. It has been theoretically demonstrated that five-dimensional…

Mesoscale and Nanoscale Physics · Physics 2022-09-20 Xingen Zheng , Tian Chen , Weixuan Zhang , Houjun Sun , Xiangdong Zhang
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