Predicted DC current induced by propagating wave in gapless Dirac materials

TL;DR

This paper demonstrates that propagating waves can generate a DC current in gapless Dirac materials like graphene, using perturbation and Floquet theories, with predictions including effects of strong wave amplitudes.

Contribution

It derives a unified equation for wave-induced DC current and applies it to graphene, revealing nonzero currents due to next nearest neighbor hopping and strong wave effects.

Findings

Propagating waves induce DC current in systems with inversion symmetry.

Derived a consistent equation using perturbation and Floquet theories.

Predicted nonzero DC current in graphene with next nearest neighbor hopping.

Abstract

In this paper, we show that the application of propagating waves can induce a DC current even in systems with spatial inversion symmetry. We derive the equation for the DC current induced by propagating waves using two methods: perturbation theory and Floquet theory. These two approaches yield consistent results. We then apply the equation to gapless graphene subjected to propagating waves. A nonzero DC current is predicted in graphene with next nearest neighbor hopping terms. Nonperturbative effects arising from a strong wave amplitude are also discussed within the framework of Floquet theory.