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We discuss the dynamical polarization, plasmon dispersion, relaxation time, and the Friedel oscillation of screened potential of the two-dimension Dirac and three-dimension Weyl system (which are gapped) in the low-energy tigh-binding…

Mesoscale and Nanoscale Physics · Physics 2018-09-10 Chen-Huan Wu

Weyl semimetals are three-dimensional topological states of matter, in a sense that they host paired monopoles and antimonopoles of Berry curvature in momentum space, leading to the chiral anomaly. The chiral anomaly has long been believed…

Mesoscale and Nanoscale Physics · Physics 2015-06-26 Hai-Zhou Lu , Song-Bo Zhang , Shun-Qing Shen

Dirac and Weyl semimetals form an ideal platform for testing ideas developed in high energy physics to describe massless relativistic particles. One such quintessentially field-theoretic idea of chiral anomaly already resulted in the…

Mesoscale and Nanoscale Physics · Physics 2016-11-03 D. I. Pikulin , Anffany Chen , M. Franz

While electrons moving perpendicular to a magnetic field are confined to cyclotron orbits, they can move freely parallel to the field. This simple fact leads to complex current flow in clean, low carrier density semi-metals, such as…

In this talk, we describe recent experimental progress in detecting the chiral anomaly in the Dirac semimetal Na$_3$Bi in the presence of a magnetic field. The chiral anomaly, which plays a fundamental role in chiral gauge theories, was…

Strongly Correlated Electrons · Physics 2015-03-30 Jun Xiong , Satya K. Kushwaha , Tian Liang , Jason W. Krizan , Wudi Wang , R. J. Cava , N. P. Ong

The linear band crossings of 3D Dirac and Weyl semimetals are characterized by a charge chirality, the parallel or anti-parallel locking of electron spin to its momentum. Such materials are believed to exhibit a ${\bf E} \cdot {\bf B}$…

Materials Science · Physics 2021-06-01 Bing Cheng , Timo Schumann , Susanne Stemmer , N. P. Armitage

Weyl semimetals are predicted to host signature magneto-optical properties sourced by their peculiar Landau level structure, including the chiral level. Analytical studies are often leaving out the Hall component of the conductivity due to…

Mesoscale and Nanoscale Physics · Physics 2024-02-15 Marcus Stålhammar

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

Domain walls in three-dimensional Weyl semimetals, formed by localized magnetic moments, are investigated. There appear bound states around the domain wall with the discrete spectrum, among which we find "Fermi arc" states with the linear…

Mesoscale and Nanoscale Physics · Physics 2016-10-05 Yasufumi Araki , Akihide Yoshida , Kentaro Nomura

A Weyl semimetal hosts low-energy chiral surface states, which appear to connect a pair of Weyl nodes in reciprocal space. As these chiral surface states propagate in a given direction, a spontaneous circulating current is expected to…

Mesoscale and Nanoscale Physics · Physics 2019-03-20 Yositake Takane

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

Surface Fermi arcs are the most prominent manifestation of the topological nature of Weyl semimetals. In the presence of a static magnetic field oriented perpendicular to the sample surface, their existence leads to unique inter-surface…

Mesoscale and Nanoscale Physics · Physics 2015-12-22 Yuval Baum , Erez Berg , S. A. Parameswaran , Ady Stern

A low-energy model is built to study systems such as Dirac/Weyl semimetals, according to statistical quantum electrodynamics formalism. We report that the introduction of a pseudoscalar, associated to longitudinal photons propagating along…

Mesoscale and Nanoscale Physics · Physics 2024-02-28 J. L. Acosta Avalo , H. Pérez Rojas

We study electric field and temperature gradient driven magnetoconductivity of a Weyl semimetal system. To analyze the responses, we utilize the kinetic equation with semiclassical equations of motion modified by the Berry curvature and…

Mesoscale and Nanoscale Physics · Physics 2021-02-16 Vladimir A. Zyuzin

Precise probe and control of various quantum degrees of freedom in novel quantum matter are central to understanding fundamental quantum physics and hold promise for innovative routes to encode and process information. Chirality is one such…

We investigate the dependence of the photogalvanic response of a multi-Weyl semimetal on its topological charge, tilt, and chemical potential. We derive analytical expressions for the shift and injection conductivities for tilted charge-$n$…

Mesoscale and Nanoscale Physics · Physics 2024-01-17 Arpit Raj , Swati Chaudhary , Gregory A. Fiete

When the right and the left handed Weyl points are separated in energy, they give rise to a non-dissipative charge current along the direction of a uniform applied magnetic field, even in the absence of an external electric field. This…

Mesoscale and Nanoscale Physics · Physics 2013-11-13 Pallab Goswami , Sumanta Tewari

We study the dynamic chiral magnetic conductivity (DCMC) and natural optical activity in an inversion-broken tilted Weyl semimetal (WSM). Starting from the Kubo formula, we derive the analytical expressions for the DCMC for two different…

Mesoscale and Nanoscale Physics · Physics 2020-02-18 Urmimala Dey , S. Nandy , A. Taraphder

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 formulate a linear response theory of the chiral magnetic effect in a finite Weyl semimetal, expressing the electrical current density $j$ induced by a slowly oscillating magnetic field $B$ or chiral chemical potential $\mu$ in terms of…

Mesoscale and Nanoscale Physics · Physics 2016-04-15 P. Baireuther , J. A. Hutasoit , J. Tworzydło , C. W. J. Beenakker