Rashba contribution of 2D Dirac-Weyl fermions: Beyond ordinary quantum regime

TL;DR

This paper derives exact energy levels for 2D Dirac-Weyl fermions in graphene under magnetic fields with Rashba coupling, revealing that at high magnetic fields, the spectrum becomes independent of Rashba interaction.

Contribution

It provides an exact solution for the energy dispersion of Dirac-like particles with Rashba coupling in a magnetic field, extending understanding beyond the ordinary quantum regime.

Findings

Energy spectrum becomes Rashba-independent at high magnetic fields.

Exact solutions are obtained using momentum space representation.

Results apply to 2D Dirac-like quasiparticles in graphene.

Abstract

We study the energy levels of Dirac-Weyl fermions in graphene subject to a magnetic field with Rashba contribution in the minimal length situation. The exact solution for the energy dispersion of Dirac-like charge carriers coupled to the magnetic moments in a (2+1)-dimension is obtained by the use of the momentum space representation. Moreover, as it comes to applications for 2D Dirac-like quasiparticles, we also extend our theory and results in some special cases, showing that the emerging energy spectrum at the high magnetic field limit becomes independent of the Rashba coupling, $\lambda_{R}$, and the band index of Landau levels.