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Chiral anomaly and second-harmonic generation in Weyl semimetals

2016/10/31 by A. A. Zyuzin, A. Yu. Zyuzin · 1 citation
Mathematics · Physics and Astronomy · #Anomaly (physics) #Chiral anomaly #Cold Atom Physics and Bose-Einstein Condensates #Condensed matter physics #Fermion #High harmonic generation #Hyperboloid model #Limit (mathematics) #Lorentz transformation #Magnetic field #Mathematical analysis #Mathematics #Physics #Quantum Mechanics and Non-Hermitian Physics #Quantum electrodynamics #Quantum mechanics #Second-harmonic generation #Semimetal #Topological Materials and Phenomena #Weyl semimetal #cond-mat.mes-hall

paper · pdf · doi:10.1103/physrevb.95.085127

published as Phys. Rev. B 95, 085127 (2017) · 9 pages

arxiv created 2016/12/22 · openalex publication_date 2017/02/21 · arxiv updated 2017/03/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

Abstract

We study second-harmonic generation in centrosymmetric Weyl semimetal with broken time reversal symmetry. We calculate electric current density at the double frequency of the propagating electromagnetic field in the presence of an applied constant magnetic field, using the method of kinetic equation for electron distribution function. It is shown that the chiral anomaly contribution to second-harmonic generation in the lowest order is linearly proportional to the applied magnetic field. The limit when the chiral anomaly dominates over the Lorentz-type contribution to second-harmonic generation is discussed.

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