Magnetothermoelectric transport in modulated and unmodulated graphene

TL;DR

This paper provides a comprehensive theoretical analysis of magnetothermoelectric transport in graphene, accounting for impurity effects and electric modulation, and compares results with recent experimental data.

Contribution

It introduces a detailed theoretical framework for magnetothermoelectric transport in graphene, including impurity effects and electric modulation, aligning well with experimental observations.

Findings

Thermopower and thermal conductivity depend on gate voltage and magnetic field.

Impurity effects significantly influence thermal transport properties.

Electric modulation alters the magnetothermoelectric response in graphene.

Abstract

We draw motivation from recent experimental studies and present a comprehensive study of magnetothermoelectric transport in a graphene monolayer within the linear response regime. We employ the modified Kubo formalism developed for thermal transport in a magnetic field. Thermopower as well as thermal conductivity as a function of the gate voltage of a graphene monolayer in the presence of a magnetic field perpendicular to the graphene plane is determined for low magnetic fields (~1 Tesla) as well as high fields (~8 Tesla). We include the effects of screened charged impurities on thermal transport. We find good, qualitative as well as quantitative, agreement with recent experimental work on the subject. In addition, in order to analyze the effects of modulation, which can be induced by various means, on the thermal transport in graphene, we evaluate the thermal transport coefficients for a graphene monolayer subjected to a periodic electric modulation in a magnetic field. The results are presented as a function of the magnetic field and the gate voltage.