# PoS(LATTICE2016)243

Numerical simulation of Dirac semimetals

M.I. Katsnelson, V.V. Braguta, A.Y. Kotov, A.A. Nikolaev

Contribution: pdf

Abstract

Dirac semimetals are recently discovered materials with low energy electronic
excitation spectrum similar to
the massless two favour 3+1 Dirac fermions. The interaction between
quasiparticles in Dirac semimetals
is instantaneous Coulomb with large effective coupling constant
$\alpha \sim 1$. In this report
we present results of study of the phase diagram of Dirac
semimetals within lattice simulation
with rooted staggered fermions. In particular, we calculate the chiral
condensate as a function
of effective coupling constant and Fermi velocity anisotropy and thus determine the position of
semimetal-insulator transition
in Dirac semimetals.