Elastic Gauge Fields in Weyl Semimetals

Alberto Cortijo, Yago Ferreirós, Karl Landsteiner, and María A. H. Vozmediano
Phys. Rev. Lett. 115, 177202 – Published 20 October 2015

Abstract

We show that, as happens in graphene, elastic deformations couple to the electronic degrees of freedom as pseudogauge fields in Weyl semimetals. We derive the form of the elastic gauge fields in a tight-binding model hosting Weyl nodes and see that this vector electron-phonon coupling is chiral, providing an example of axial gauge fields in three dimensions. As an example of the new response functions that arise associated with these elastic gauge fields, we derive a nonzero phonon Hall viscosity for the neutral system at zero temperature. The axial nature of the fields provides a test of the chiral anomaly in high energy with three axial vector couplings.

  • Figure
  • Received 30 July 2015

DOI:https://doi.org/10.1103/PhysRevLett.115.177202

© 2015 American Physical Society

Physics Subject Headings (PhySH)

Particles & FieldsCondensed Matter, Materials & Applied Physics

Authors & Affiliations

Alberto Cortijo1, Yago Ferreirós1, Karl Landsteiner2, and María A. H. Vozmediano1

  • 1Instituto de Ciencia de Materiales de Madrid, CSIC, Cantoblanco, 28049 Madrid, Spain
  • 2Instituto de Física Teórica UAM/CSIC, Nicolás Cabrera 13-15, Cantoblanco, 28049 Madrid, Spain

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Issue

Vol. 115, Iss. 17 — 23 October 2015

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