Phase diagram and Chiral Magnetic Effect in Dirac Semimetals from Lattice Simulation

¹ Far Eastern Federal University, School of Natural Sciences, 690950 Vladivostok, Russia
² Far Eastern Federal University, School of Biomedicine, 690950 Vladivostok, Russia
³ Institute of Theoretical and Experimental Physics, 117259 Moscow, Russia
⁴ Moscow Institute of Physics and Technology, Institutskii per. 9, Dolgoprudny, Moscow Region, 141700 Russia
⁵ Joint Institute for Nuclear Research, BLTP, 141980 Dubna, Russia
⁶ Radboud University, Institute for Molecules and Materials, Heyendaalseweg 135, NL-6525AJ Nijmegen, The Netherlands
⁷ Ural Federal University, Theoretical Physics and Applied Mathematics Department, Mira Str. 19, 620002 Ekaterinburg, Russia

^* Speaker, e-mail: kotov@itep.ru

Published online: 26 March 2018

Abstract

Dirac Semimetals Na₃Bi and Cd₃As₂ are recently discovered materials, which low energy electronic spectrum is described by two flavours of massless 3+1D fermions. In order to study electronic properties of these materials we formulated lattice field theory with rooted staggered fermions on anisotropic lattice. It is shown that in the limit of zero temporal lattice spacing this theory reproduces effective theory of Dirac semimetals. Using the lattice field theory we study the phase diagram of Dirac semimetals in the plane effective coupling constant - Fermi velocity anisotropy. We also measure conductivity of Dirac Semimetals within lattice field theory in external magnetic field. Our results confirm the existence of Chiral Magnetic Effect in Dirac Semimetals.