Anomalous Hall Effect in Type-I Weyl Metals

J. F. Steiner, A. V. Andreev, and D. A. Pesin
Phys. Rev. Lett. 119, 036601 – Published 18 July 2017
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Abstract

We study the ac anomalous Hall conductivity σxy(ω) of a Weyl semimetal with broken time-reversal symmetry. Even in the absence of free carriers these materials exhibit a “universal” anomalous Hall response determined solely by the locations of the Weyl nodes. We show that the free carriers, which are generically present in an undoped Weyl semimetal, give an additional contribution to the ac Hall conductivity. We elucidate the phy146sical mechanism of the effect and develop a microscopic theory of the free carrier contribution to σxy(ω). The latter can be expressed in terms of a small number of parameters (the electron velocity matrix, the Fermi energy μ, and the “tilt” of the Weyl cone). The resulting σxy(ω) has resonant features at ω2μ which may be used to separate the free carrier response from the filled-band response using, for example, Kerr effect measurements. This may serve as a diagnostic tool to characterize the doping of individual valleys.

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  • Received 20 April 2017

DOI:https://doi.org/10.1103/PhysRevLett.119.036601

© 2017 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Condensed Matter, Materials & Applied Physics

Authors & Affiliations

J. F. Steiner1,2, A. V. Andreev2, and D. A. Pesin3

  • 1ITP, Heidelberg University, Philosophenweg 12, 69120 Heidelberg, Germany
  • 2Department of Physics, University of Washington, Seattle, Washington 98195, USA
  • 3Department of Physics and Astronomy, University of Utah, Salt Lake City, Utah 84112, USA

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Issue

Vol. 119, Iss. 3 — 21 July 2017

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