Thermodynamics of electron-hole liquids in graphene

TL;DR

This paper investigates how renormalization affects thermodynamic properties of electron-hole liquids in graphene, revealing temperature-dependent behaviors and collective phenomena at different doping levels.

Contribution

It provides a detailed analysis of thermodynamic properties in graphene considering electron spectrum renormalization at various temperatures and doping levels.

Findings

At low temperatures, doped graphene behaves as a Fermi liquid.

At high temperatures, electron-hole collective features dominate.

Chemical potential approaches neutrality point at high temperatures.

Abstract

The impact of renormalization of the electron spectrum on the chemical potential, heat capacity, and oscillating magnetic moment is studied. The cases of low and high temperatures are considered. At low temperatures, doped graphene behaves as the usual Fermi liquids with the power temperature laws for thermodynamic properties. However, at high temperatures and relatively low carrier concentrations, it exhibits the collective electron-holes features: the chemical potential tends to its value in the undoped case going with the temperature to the charge neutrality point. Simultaneously, the electron contribution into the heat capacity tends to the constant value, as in the case of the Boltzmann statistics.