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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

Quantum anomalies in Weyl semimetal (for either ${\bf E}\cdot{\bf B} \neq 0$ or ${\bf \nabla}T\cdot{\bf B} \neq 0$) leads to chiral charge and energy pumping between the opposite chirality nodes. This results in chiral charge and energy…

Mesoscale and Nanoscale Physics · Physics 2020-02-05 Kamal Das , Amit Agarwal

Chiral anomaly, a non-conservation of chiral charge pumped by the topological nontrivial gauge fields, has been predicted to exist in Weyl semimetals. However, until now, the experimental signature of this effect exclusively relies on the…

Charge transport in channel-shaped 2D Dirac systems is studied employing the Boltzmann equation. The dependence of the resistivity on temperature and chemical potential is investigated. An accurate understanding of the influence of…

Mesoscale and Nanoscale Physics · Physics 2018-05-25 Oleksiy Kashuba , Björn Trauzettel , Laurens W. Molenkamp

Chiral anomalies give rise to dissipationless transport phenomena such as the chiral magnetic and vortical effects. In these notes I review the theory from a quantum field theoretic, hydrodynamic and holographic perspective. A physical…

High Energy Physics - Theory · Physics 2017-05-01 Karl Landsteiner

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

We investigate linear and nonlinear transverse planar transport phenomena (viz. linear and nonlinear Hall and Nernst coefficients) induced by chiral anomaly in three-dimensional spin-orbit coupled metallic systems. Unlike Weyl semimetals,…

Mesoscale and Nanoscale Physics · Physics 2025-09-11 Rishi G. Gopalakrishnan , Binayyak B. Roy , Gargee Sharma , Sumanta Tewari

Quantum anomalies are the breakdowns of classical conservation laws that occur in quantum-field theory description of a physical system. They appear in relativistic field theories of chiral fermions and are expected to lead to anomalous…

Mesoscale and Nanoscale Physics · Physics 2023-11-15 Pardeep Kumar Tanwar , Mujeeb Ahmad , Md Shahin Alam , Xiaohan Yao , Fazel Tafti , Marcin Matusiak

The chiral magnetic effect is a one of the exotic bulk transport properties of the Weyl semimetals. Because of the Nielsen-Ninomiya "no-go theorem", the total chiral magnetic current is absent in the equilibrium state. One of the mechanisms…

Strongly Correlated Electrons · Physics 2020-01-08 Zaur Z. Alisultanov

We present a field theoretical model of anomalous transport in Weyl semi-metals. We calculate the Chiral Magnetic and Chiral Vortical Effect in the electric, axial (valley) and energy current. Our findings coincide with the results of a…

High Energy Physics - Theory · Physics 2014-02-26 Karl Landsteiner

We calculate the magnetoconductivity of the Weyl semimetal with $\mathbb{Z}_2$ symmetry and chiral anomaly utilizing the recently developed hydrodynamic theory. The system in question will be influenced by magnetic fields connected with…

High Energy Physics - Theory · Physics 2019-01-30 Marek Rogatko , Karol I. Wysokinski

We present a microscopic theory of diffusive magnetotransport in Weyl metals and clarify its relation to chiral anomaly. We derive coupled diffusion equations for the total and axial charge densities and show that chiral anomaly manifests…

Mesoscale and Nanoscale Physics · Physics 2014-12-17 A. A. Burkov

Weyl semimetals are predicted to realize the three-dimensional axial anomaly first discussed in particle physics. The anomaly leads to unusual transport phenomena such as the chiral magnetic effect in which an applied magnetic field induces…

Mesoscale and Nanoscale Physics · Physics 2016-11-23 Edwin Barnes , J. J. Heremans , Djordje Minic

By making use of the Kubo formula, we calculate the conductivity of Dirac and Weyl semimetals in a magnetic field. We find that the longitudinal (along the direction of the magnetic field) magnetoresistivity is negative at sufficiently…

Mesoscale and Nanoscale Physics · Physics 2014-02-25 E. V. Gorbar , V. A. Miransky , I. A. Shovkovy

We present a theory of magnetotransport phenomena related to the chiral anomaly in Weyl semimetals. We show that conductivity, thermal conductivity, thermoelectric and the sound absorption coefficients exhibit strong and anisotropic…

Mesoscale and Nanoscale Physics · Physics 2016-02-10 B. Z. Spivak , A. V. Andreev

We study the current of chiral charge density in a Dirac semimetal with two Dirac points in momentum space, subjected to an externally applied time dependent electric field and in the presence of a magnetic field. Based on the kinetic…

Mesoscale and Nanoscale Physics · Physics 2018-12-06 Alexander A. Zyuzin , M. Silaev , Vladimir A. Zyuzin

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

Quantum anomalies give rise to novel transport phenomena, including the generation of a current in a relativistic fluid due to the presence of magnetic field or vorticity. We present an exclusive and direct computation of the chiral anomaly…

High Energy Physics - Theory · Physics 2025-07-04 Rémy Larue , Jérémie Quevillon , Diego Saviot

Chiral anomaly or Adler-Bell-Jackiw anomaly in Weyl semimetals (WSMs) has a significant impact on the electron transport behaviors, leading to remarkable longitudinal or planar electrical and thermoelectric transport phenomena in the…

Mesoscale and Nanoscale Physics · Physics 2022-03-29 Chuanchang Zeng , Snehasish Nandy , Sumanta Tewari

The effects of finite magnetization and electric polarization on dissipative and non-dissipative (anomalous) transport coefficients of a chiral fluid are studied. First, using the second law of thermodynamics as well as Onsager's time…

High Energy Physics - Theory · Physics 2017-04-28 N. Sadooghi , S. M. A. Tabatabaee
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