The modulation of the de Haas–van Alphen effect in graphene by electric field

Abstract

This paper explores the de Haas–van Alphen effect (dHvA) of graphene in the presence ofan in-plane uniform electric field. Three major findings are yielded. First of all, the electricfield is found to modulate the de Haas–van Alphen magnetization and magneticsusceptibility through the dimensionless parameter . As the parameter β increases, the values of magnetization and magnetic susceptibility increaseto positive infinity or decrease to negative infinity at the exotic pointβc = 1.Furthermore, the dHvA oscillation amplitude rises abruptly to infinity for zero temperature atβc = 1, but eventually collapses at a finite temperature, thereby leading to the de Haas–vanAlphen effect vanishing. In addition, the magnetic susceptibility depends on the electricand magnetic fields, suggesting that graphene should be a non-linear magnetic medium inthe presence of an external field. These results, which are different from those obtained inthe standard non-relativistic 2D electron gas, are attributed to the anomalous Landau levelspectrum of graphene.