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Interacting Weyl fermions: Phases, phase transitions, and global phase diagram
KTH, Centres, Nordic Institute for Theoretical Physics NORDITA.
2017 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 95, no 20, article id 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 ν=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
American Physical Society , 2017. Vol. 95, no 20, article id 201102
National Category
Physical Sciences
Identifiers
URN: urn:nbn:se:kth:diva-216500DOI: 10.1103/PhysRevB.95.201102ISI: 000400662700001Scopus ID: 2-s2.0-85024372748OAI: oai:DiVA.org:kth-216500DiVA: diva2:1162004
Note

QC 20171201

Available from: 2017-12-01 Created: 2017-12-01 Last updated: 2017-12-01Bibliographically approved

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