Transport in Graphene superimposed by a moving Electrical Superlattice Potential

TL;DR

This paper investigates how a moving electrical superlattice affects the dc-conductivity of ballistic graphene, revealing velocity-dependent anisotropic effects and potential applications as a motion detector.

Contribution

It provides a theoretical analysis of conductivity changes in graphene under a moving superlattice, highlighting the emergence of new Dirac points and their impact on transport properties.

Findings

Conductivity along the superlattice direction is velocity-independent.

Perpendicular conductivity strongly depends on superlattice velocity.

Graphene can act as an ideal motion detector at specific voltages.

Abstract

We calculate dc-conductivities of ballistic graphene undulated by a overlying moving unidirectional electrical superlattice (SL) potential whose SL-velocity is smaller than the electron velocity. We obtain no dependence of the conductivity on the velocity along the direction of the superlattice wavevector. In the orthogonal direction however, the dependence is strong on the velocity especially at voltages where a new Dirac point emerges for zero velocity. It is shown that the infinite graphene system can serve as an ideal motion detector at potentials where the first new Dirac point emerges. There the conductivity is zero at vanishing SL velocities and jumps to infinity when the SL starts moving. For finite systems at voltages where the number of new Dirac points is of the order of the ratio of the electron velocity by the SL-velocity, the modifications to the conductivity of a moving SL is at least of similar magnitude as the conductivity of the stagnant SL.