Anisotropic fixed points in Dirac and Weyl semimetals

Abstract

The effective low energy description of interacting Dirac and Weyl semimetals is that of massless quantum electrodynamics with several Lorentz breaking material parameters. We perform a renormalization group analysis of Coulomb interaction in anisotropic Dirac and Weyl semimetals and show that the anisotropy persists in the material systems at the infrared fixed point. In addition, a tilt of the fermion cones breaking inversion symmetry induces a magnetoelectric term in the electrodynamics of the material whose magnitude runs to match that of the electronic tilt at the fixed point.

arXiv commentVersion as published. Title changed

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Cited by in corpus (11)

• Lorentz violation in Dirac and Weyl semimetals
• Effects of the Dirac cone tilt in two-dimensional Dirac semimetal
• Direct measurement of a beta function and an indirect check of the Schwinger effect near the boundary in Dirac-Weyl semimetals
• Anomalous Gravitational TTT Vertex, Temperature Inhomogeneity, and Pressure Anisotropy
• Bulk contributions to the Casimir interaction of Dirac materials
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• Magnetovortical and thermoelectric transport in tilted Weyl metals
• Electronic properties of the Dirac and Weyl systems with first- and higher-order dispersion in non-Fermi-liquid picture
• Conformal anomaly and helicity effects in kinetic theory via scale-dependent coupling
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