Electric transport and magnetic properties in multilayer graphene

TL;DR

This paper investigates the electric and magnetic properties of multilayer graphene, revealing how conductivity and Hall effects depend on layer number, interlayer hopping, and temperature, with implications for multiband effects.

Contribution

It introduces a matrix decomposition technique to analyze multilayer graphene's transport and magnetic properties, highlighting layer-dependent phenomena and multiband effects.

Findings

Minimum conductivity scales with layer number N, independent of interlayer hopping.

Presence of kinks and plateaux in conductivity and Hall conductivity due to multiband effects.

Hall conductivity and magnetic susceptibility have temperature-dependent minima at specific gate voltages.

Abstract

We discuss electric transport and orbital magnetism of multilayer graphenes in a weak-magnetic field using the matrix decomposition technique. At zero temperature, the minimum conductivity is given by that of the monolayer system multiplied by the layer number $N$, independent of the interlayer hopping $t$. When the interlayer hopping satisfies the condition $t\gg \hbar/\tau$ with $\tau$ being collision time of impurity scattering, $[N/2]$ kinks and $[N/2]+1$ plateaux appear in the Fermi-energy (gate voltage) dependence of the conductivity and the Hall conductivity, respectively. These behaviors are interpreted as multiband effects. We also found that the Hall conductivity and the magnetic susceptibility take minimum value as a function of temperature, for certain value of the gate voltage. This behavior is explained by Fermi-energy dependence of these functions at zero temperature.