Abstract
We discuss a conductivity of a three-dimensional gas of Dirac electrons in the direction of magnetic field in high magnetic fields. Analytical expressions for the zero temperature conductivity are calculated in the linear response theory using the basis of relativistic Landau levels. The impurity scattering is treated in the self-consistent Born approximation which gives Landau level broadening increasing linearly in magnetic field. We demonstrate that in the special case of zero-gap Dirac semimetal this leads to the magnetic field and temperature independent conductivity in high magnetic field limit.
Highlights
Over the last year there has been a considerable progress in experimental investigations of transport properties in three-dimensional (3D) Dirac electron systems [1, 2, 3, 4]
The theory of quantum linear transverse magnetoresistance was developed by Abrikosov [7], its origin in Cd3As2 [1, 2, 3], TlBiSSe [4] and other 3D Dirac semimetals is not completely understood at the present time
In the present paper we provide a theoretical discussion of the longitudinal conductivity in 3D Dirac electron system
Summary
Over the last year there has been a considerable progress in experimental investigations of transport properties in three-dimensional (3D) Dirac electron systems [1, 2, 3, 4]. In the present paper we calculate the Landau level broadening Γ in the self-consistent Born approximation (SCBA) which give√s a magnetic field dependence of Γ.
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