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Interacting Weyl fermions: Phases, phase transitions, and global phase diagram
Stockholm University, Nordic Institute for Theoretical Physics (Nordita).
Number of Authors: 3
2017 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 95, no 20, 201102Article in journal (Refereed) Published
Abstract [en]

We study the effects of short-range interactions on a generalized three-dimensional Weyl semimetal, where the band touching points act as the (anti) monopoles of Abelian Berry curvature of strength n. We show that any local interaction has a negative scaling dimension -2/n. Consequently, all Weyl semimetals are stable against weak short-range interactions. For sufficiently strong interactions, we demonstrate that the Weyl semimetal either undergoes a first-order transition into a band insulator or a continuous transition into a symmetry breaking phase. A translational symmetry breaking axion insulator and a rotational symmetry breaking semimetal are two prominent candidates for the broken symmetry phase. At the one-loop order, the correlation length exponent for continuous transitions is upsilon = n/2, indicating their non-Gaussian nature for any n > 1. We also discuss the scaling of the thermodynamic and transport quantities in general Weyl semimetals as well as inside broken symmetry phases.

Place, publisher, year, edition, pages
2017. Vol. 95, no 20, 201102
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:su:diva-143448DOI: 10.1103/PhysRevB.95.201102ISI: 000400662700001OAI: oai:DiVA.org:su-143448DiVA: diva2:1106410
Available from: 2017-06-07 Created: 2017-06-07 Last updated: 2017-06-07Bibliographically approved

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