Quantum Field Theory in Graphene

TL;DR

This paper introduces how quantum field theory methods are applied to graphene, deriving models and calculating properties like conductivity to explain phenomena such as the Quantum Hall Effect and light absorption.

Contribution

It provides a non-technical overview of deriving the Dirac model from the tight binding model and applying QFT techniques to analyze graphene's optical and electronic properties.

Findings

Derivation of the Dirac model from tight binding

Calculation of polarization operator and conductivity

Application to Quantum Hall Effect and Casimir interaction

Abstract

This is a short non-technical introduction to applications of the Quantum Field Theory methods to graphene. We derive the Dirac model from the tight binding model and describe calculations of the polarization operator (conductivity). Later on, we use this quantity to describe the Quantum Hall Effect, light absorption by graphene, the Faraday effect, and the Casimir interaction.