TY - JOUR
T1 - Interacting Weyl fermions
T2 - Phases, phase transitions, and global phase diagram
AU - Roy, Bitan
AU - Goswami, Pallab
AU - Juričić, Vladimir
N1 - Publisher Copyright:
© 2017 American Physical Society.
PY - 2017/5/5
Y1 - 2017/5/5
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevB.95.201102
DO - 10.1103/PhysRevB.95.201102
M3 - Article
AN - SCOPUS:85024372748
SN - 0163-1829
VL - 95
JO - Physical Review B-Condensed Matter
JF - Physical Review B-Condensed Matter
IS - 20
M1 - 201102
ER -