Magnetotransport of a periodically modulated graphene monolayer

TL;DR

This paper investigates how a weak periodic potential modulates the magnetotransport properties of graphene, revealing oscillations in conductivity and Hall resistance influenced by magnetic field, temperature, and impurity scattering.

Contribution

It provides a detailed analysis of Landau level broadening, oscillation behavior, and the effects of temperature on transport in periodically modulated graphene under magnetic fields.

Findings

Landau levels broaden into bands oscillating with magnetic field

Commensurability oscillations appear in conductivity and Hall resistance

Temperature affects the amplitude of oscillations

Abstract

We have performed a detailed investigation of the electrical properties of a graphene monolayer which is modulated by a weak one dimensional periodic potential in the presence of a perpendicular magnetic field. The periodic modulation broadens the Landau Levels into bands which oscillate with B. The electronic conduction in this system can take place through either diffusive scattering or collisional scattering off impurities. Both these contributions to electronic transport are taken into account in this work. In addition to the appearance of commensurability oscillations in both the collisional and diffusive contributions, we find that Hall resistance also exhibits commensurability oscillations. Furthermore, the period and amplitude of these commensurability oscillations in the transport parameters and how they are affected by temperature are also discussed in this work.