Quantum critical scaling in graphene

TL;DR

This paper investigates the quantum critical behavior of electrons in graphene, emphasizing the role of Coulomb interactions and deriving scaling laws that predict observable effects in experiments.

Contribution

It introduces new scaling laws near the quantum critical point in graphene, highlighting the significance of Coulomb interactions in its magnetic and charge responses.

Findings

Predicted specific signatures in diamagnetic response

Derived scaling laws for electronic compressibility

Highlighted the importance of Coulomb interactions at the QCP

Abstract

We show that the emergent relativistic symmetry of electrons in graphene near its quantum critical point (QCP) implies a crucial importance of the Coulomb interaction. We derive scaling laws, valid near the QCP, that dictate the nontrivial magnetic and charge response of interacting graphene. Our analysis yields numerous predictions for how the Coulomb interaction will be manifested in experimental observables such as the diamagnetic response and electronic compressibility.