Magnetic oscillations in planar systems with the Dirac-like spectrum of quasiparticle excitations

TL;DR

This paper derives analytical formulas for magnetic oscillations in planar systems with Dirac-like quasiparticles, exploring their use in detecting spectral gaps and analyzing effects of temperature and impurities.

Contribution

It provides new analytical expressions for magnetic oscillations in Dirac systems, including effects of temperature and impurity scattering, and discusses their application in gap detection.

Findings

Analytical formulas for magnetic oscillations at zero and finite temperatures.

Effects of impurity scattering on magnetic oscillations.

Potential use of oscillations to detect spectral gaps.

Abstract

The quantum magnetic oscillations are studied for planar condensed matter systems with a linear, Dirac-like spectrum of quasiparticle excitations. We derive analytical expressions for magnetic oscillations (de Haas - van Alphen effect) in the density of states, thermodynamic potential, magnetization and chemical potential both for zero and finite temperatures, and in the presence of scattering from impurities. We discuss also a possibility of using magnetic oscillations for detection of a gap that may open in the spectrum of quasiparticle excitations due to a nontrivial interaction between them.