Suppression of Weiss oscillations in the magnetoconductivity of modulated graphene monolayer

Abstract

We have investigated the electrical transport properties of Dirac electrons in a monolayer graphene sheet in the presence of both electric and magnetic modulations. The effects of the modulations on quantum transport when they are in phase and out of phase are considered. We present the energy spectrum and the bandwidth of the Dirac electrons in the presence of both the modulations. We determine the ${\sigma }_{yy}$ component of the magnetoconductivity tensor for this system which is shown to exhibit Weiss oscillations.Asymptotic expressions for ${\sigma }_{yy}$ are also calculated to better illustrate the effects of in-phase and out-of-phase modulations.We find that the position of the oscillations in magnetoconductivity depends on the relative strength of the two modulations. When the two modulations are out-of-phase there is complete suppression of Weiss oscillations for particular relative strength of the modulations.

14 pages, 4 figures, Published in International journal of Modern Physics B

References in corpus (5)

• Chiral tunneling and the Klein paradox in graphene
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Unconventional Integer Quantum Hall effect in graphene
• Anisotropic behaviors of massless Dirac fermions in graphene under periodic potential
• Quantum transport of Dirac electrons in graphene in the presence of a spatially modulated magnetic field