Loop calculations for models of graphene

TL;DR

This paper reviews recent theoretical advances in calculating critical exponents for graphene models using large N techniques and conformal bootstrap methods within the Gross-Neveu universality class.

Contribution

It introduces new computational approaches for critical exponents in graphene-related quantum field theories, combining large N and conformal bootstrap methods.

Findings

Determination of critical exponents for graphene models

Application of large N conformal bootstrap techniques

Advancement in theoretical understanding of phase transitions in graphene

Abstract

The various Gross-Neveu classes of quantum field theories are of interest in the study of a particular phase transition in graphene. We review recent activity in the determination of several critical exponents in the chiral Heisenberg Gross-Neveu universality class using the critical point large $N$ technique which includes the use of the large $N$ conformal bootstrap method.