**Numerical simulation of Dirac semimetals**

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

in 34th annual International Symposium on Lattice Field Theory

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.