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.

arXiv comment14 pages, 4 figures, Published in International journal of Modern Physics B

References in corpus (13)

• Two-Dimensional Gas of Massless Dirac Fermions in Graphene
• Experimental Observation of Quantum Hall Effect and Berry's Phase in Graphene
• Chiral tunneling and the Klein paradox in graphene
• Unconventional quantum Hall effect and Berry's phase of 2pi in bilayer graphene
• Electronic Properties of Disordered Two-Dimensional Carbon
• 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
• Magnetoresistance of a two-dimensional electron gas with spatially periodic lateral modulations: Exact consequences of Boltzmann's equation
• Beating of the oscillations in the transport coefficients of a one-dimensionally periodically modulated two-dimensional electron gas in the presence of spin-orbit interaction
• Coulomb effects on the quantum transport of a two-dimensional electron system in periodic electric and magnetic fields
• Density modulation and electrostatic self-consistency in a two-dimensional electron gas subject to a periodic quantizing magnetic field
• Inverse flux quantum periodicity of magnetoresistance oscillations in two-dimensional short-period surface superlattices

Cited by in corpus (1)

• Thermodynamic properties of a magnetically modulated graphene