Graphene through the looking glass of QFT
Ignat V. Fialkovsky, Dmitri V. Vassilevich

TL;DR
This paper reviews how Quantum Field Theory methods are applied to understand quantum effects in graphene, deriving observable phenomena such as conductivity, charge induction, and Casimir interactions from the Dirac model.
Contribution
It formulates the effective electromagnetic action for graphene based on the Dirac model and derives key quantum effects, enhancing theoretical understanding.
Findings
Derived the induced mean charge in graphene
Quantized conductivity explained through QFT methods
Analyzed Casimir interactions involving graphene samples
Abstract
This paper is aimed to review and promote the main applications of the methods of Quantum Field Theory to description of quantum effects in graphene. We formulate the effective electromagnetic action following from the Dirac model for the quasiparticles in graphene and apply it for derivation of different observable effects like the induced mean charge, quantized conductivity, Faraday effect, and Casimir interaction involving graphene samples.
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