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

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