Layer-resolved conductivities in multilayer graphenes

TL;DR

This paper investigates how stacking arrangements in multilayer graphene influence interlayer electrical conductivities under magnetic fields, revealing stacking-dependent behaviors and potential for switching applications.

Contribution

It provides a detailed analysis of layer-resolved conductivities in multilayer graphene with different stacking orders, highlighting their dependence on stacking and layer separation.

Findings

Hall conductivity between layers is not quantized.

Interlayer conductivity vanishes around zero energy in AB stacking with increased layers.

Magnetic field suppresses longitudinal interlayer conductivity, enabling switching applications.

Abstract

We study interlayer transport of multilayer graphenes in magnetic field with various stacking structures (AB, ABC, and AA types) by calculating the Hall and longitudinal conductivities as functions of Fermi energy. Their behavior depends strongly on the stacking structures and selection of the layers. The Hall conductivity between different layers is no longer quantized. Moreover, for AB stacking, the interlayer conductivity vanishes around zero energy with increasing layer separation, and shows negative values in particular cases. The fact that longitudinal interlayer conductivity suppressed by the magnetic field indicates that this system can be applied as a switching device.