Fizika Nizkikh Temperatur: Volume 43, Number 12 (December 2017), p. 1733-1739    ( to contents , go back )

Quantum oscillations in an anisotropic Weyl semimetal in crossed magnetic and electric fields

Z.Z. Alisultanov1,2, G.M. Musaev2, and M.M. Arslanbekova2

1Институт физики им. Х.И. Амирханова ДНЦ РАН, Махачкала
2Дагестанский государственный университет, Махачкала
E-mail: zaur0102@gmail.com

Received April 22, 2017, revised June 1, 2017

Abstract

We calculated the electron spectrum of an anisotropic Weyl semimetal (WSM) in crossed magnetic and electric fields. We have shown that the electric field leads to a cardinal rearrangement of the Landau bands. At a some value of the electric field, a complete collapse of the Landau levels occurs, but the motion along the magnetic field does not vanish, in contrast to the isotropic case. We obtained analytical expressions for the quantum electric capacity in cases of weak and strong electric fields. We predicted a new phase transition be-tween the phases of type I and type II of WSMs induced by an electric field. When the value of the electric field corresponds to such a transition, the density of states has a singularity, as it should be for phase transitions of the Lifshitz type. Using Falkowsky approach, we showed that the Berry phase for an anisotropic VP with an inclined spectrum near the Weyl point is equal to π. Then the quasiclassical approach leads exactly to the same spectrum as the microscopic one.

PACS: 71.10.Ca Electron gas, Fermi gas;
PACS: 71.70.Di Landau levels;
PACS: 71.10.Hf Non-Fermi-liquid ground states, electron phase diagrams and phase transitions in model systems.

Key words: quantum oscillations, anisotropic Weyl semimetal, Landau levels, Berry phase.

Published online: October 25, 2017

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