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We show that under the effect of an external electric field and a gradient of chemical potential, a topological electric current can be induced in Weyl semimetals without inversion and mirror symmetries. We derive analytic expressions for…

Mesoscale and Nanoscale Physics · Physics 2021-02-03 R. Flores-Calderón , A. Martín-Ruiz

In this review we discuss a wide range of topological properties of electron quasiparticles in Dirac and Weyl semimetals. Their nontrivial topology is quantified by a monopole-like Berry curvature in the vicinity of Weyl nodes, as well as…

Mesoscale and Nanoscale Physics · Physics 2018-06-26 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy , P. O. Sukhachov

We consider the properties of electric circuits involving Weyl semimetals. The existence of the anomaly-induced chiral magnetic current in a Weyl semimetal subjected to magnetic field causes an interesting and unusual behavior of such…

Mesoscale and Nanoscale Physics · Physics 2013-09-18 Dmitri E. Kharzeev , Ho-Ung Yee

Recently, the existence of massless chiral (Weyl) fermions has been postulated in a class of semi-metals with a non-trivial energy dispersion.These materials are now commonly dubbed Weyl semi-metals (WSM).One predicted property of Weyl…

Materials Science · Physics 2016-08-12 R. D. dos Reis , M. O. Ajeesh , N. Kumar , F. Arnold , C. Shekhar , M. Naumann , M. Schmidt , M. Nicklas , E. Hassinger

The key feature of Weyl semimetals (WSM) is the presence of topologically protected Dirac cones in a 3D material. We consider the effect of restricting geometry on the spectrum of excitations in WSM using as a model a cylindrical WSM wire.…

Mesoscale and Nanoscale Physics · Physics 2018-01-23 Mikhail Erementchouk , Pinaki Mazumder

In disordered Weyl semimetals, mechanisms of topological origin lead to the protection against Anderson localization, and at the same time to different types of transverse electromagnetic response -- the anomalous Hall, and chiral magnetic…

Mesoscale and Nanoscale Physics · Physics 2015-07-01 Alexander Altland , Dmitry Bagrets

It has been suggested recently, based on subtle field-theoretical considerations, that the electromagnetic response of Weyl semimetals and the closely related Weyl insulators can be characterized by an axion term E.B with space and time…

Mesoscale and Nanoscale Physics · Physics 2013-10-11 M. M. Vazifeh , M. Franz

We argue that strain applied to a time-reversal and inversion breaking Weyl semi-metal in a magnetic field can induce an electric current via the chiral magnetic effect. A tight binding model is used to show that strain generically changes…

Mesoscale and Nanoscale Physics · Physics 2016-12-28 Alberto Cortijo , Dmitri Kharzeev , Karl Landsteiner , María A. H. Vozmediano

Weyl semimetals are a class of materials that can be regarded as three-dimensional analogs of graphene breaking time reversal or inversion symmetry. Electrons in a Weyl semimetal behave as Weyl fermions, which have many exotic properties,…

Materials Science · Physics 2015-08-05 B. Q. Lv , H. M. Weng , B. B. Fu , X. P. Wang , H. Miao , J. Ma , P. Richard , X. C. Huang , L. X. Zhao , G. F. Chen , Z. Fang , X. Dai , T. Qian , H. Ding

The magnetoelectric coupling of electrons in a three-dimensional solid can be effectively described by axion electrodynamics. Here we report the discovery of the fractional magnetoelectric effect in chiral anomalous semimetals of the…

Mesoscale and Nanoscale Physics · Physics 2022-07-15 Huan-Wen Wang , Bo Fu , Jin-Yu Zou , Zi-Ang Hu , Shun-Qing Shen

Weyl semimetals (WSMs) have Weyl nodes where conduction and valence bands meet in the absence of inversion or time-reversal symmetry (TRS), or both. Interesting phenomena are expected in WSMs such as the chiral magnetic effect, anomalous…

Mesoscale and Nanoscale Physics · Physics 2018-08-22 John W. Villanova , Kyungwha Park

This is a PhD dissertation. Ignited by the chiral anomaly of recently discovered Weyl (semi-)metals, we study the chiral magnetic effect and the natural optical activity of noncentrosymmetric metals. Both phenomena are related to the…

Mesoscale and Nanoscale Physics · Physics 2017-12-14 Jing Ma

A novel oscillatory behaviour of the DC conductivity in Weyl semimetals with vacancies has recently been identified, occurring in the absence of external magnetic fields. Here, we argue that this effect has a geometric interpretation in…

Mesoscale and Nanoscale Physics · Physics 2024-12-09 Giandomenico Palumbo

Shortly after the discovery of Weyl semimetals properties related to the topology of their bulk band structure have been observed, e.g. signatures of the chiral anomaly and Fermi arc surface states. These essentially single particle…

Mesoscale and Nanoscale Physics · Physics 2017-11-29 Maximilian Trescher , Emil J. Bergholtz , Masafumi Udagawa , Johannes Knolle

Relativistic gravitational anomalies lead to anomalous transport coefficients that can be activated at finite temperature in condensed matter systems with gapless fermions. The chiral vortical effect (CVE) is an anomalous chiral current…

Superconductivity · Physics 2022-09-14 J. Nissinen , G. E. Volovik

In the presence of parallel electric and magnetic fields, the violation of separate number conservation laws for the three dimensional left and right handed Weyl fermions is known as the chiral anomaly. The recent discovery of Weyl and…

Mesoscale and Nanoscale Physics · Physics 2024-02-20 Gargee Sharma , Pallab Goswami , Sumanta Tewari

The chiral anomaly is a striking signature of quantum effects which lead to the non-conservation of a classically conserved current, specifically the chiral currents in systems of fermions. In condensed matter systems, the chiral anomaly…

Strongly Correlated Electrons · Physics 2023-05-16 Jonathan B. Curtis , Ioannis Petrides , Prineha Narang

Weyl semi-metal is the three dimensional analog of graphene. According to the quantum field theory, the appearance of Weyl points near the Fermi level will cause novel transport phenomena related to chiral anomaly. In the present paper, we…

Weyl superconductivity or superfluidity, a fascinating topological state of matter, features novel phenomena such as emergent Weyl fermionic excitations and anomalies. Here we report that an anisotropic Weyl superfluid state can arise as a…

Quantum Gases · Physics 2015-01-30 Bo Liu , Xiaopeng Li , Lan Yin , W. Vincent Liu

Weyl semimetals are characterized by unconventional electromagnetic response. We present analytical expressions for all components of the frequency- and wave-vector-dependent charge-spin linear-response tensor of Weyl fermions. The…

Mesoscale and Nanoscale Physics · Physics 2019-02-06 Sayandip Ghosh , Carsten Timm