Graphene through the looking glass of QFT

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.

15 pages, 4 figures. Based on a talk given by D. V. Vassilevich at QUARKS16, Pushkin 2016

References in corpus (21)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Universal Dynamic Conductivity and Quantized Visible Opacity of Suspended Graphene
• Universal dynamical conductance in graphite
• Optical far-infrared properties of graphene monolayer and multilayers
• The optical conductivity of graphene in the visible region of the spectrum
• Quantum-limited shot noise in graphene
• Giant Faraday rotation in single- and multilayer graphene
• Carrier Statistics and Quantum Capacitance of Graphene Sheets and Ribbons
• Electron transport in disordered graphene
• AC conductivity of graphene: from tight-binding model to 2+1-dimensional quantum electrodynamics
• On the universal AC optical background in graphene
• Dynamical polarization, screening, and plasmons in gapped graphene
• Tunable Casimir repulsion with three dimensional topological insulators
• Casimir Interactions for Anisotropic Magnetodielectric Metamaterials
• Theory of the Casimir interaction for graphene-coated substrates using the polarization tensor and comparison with experiment
• Faraday rotation in graphene
• Origin of large thermal effect in the Casimir interaction between two graphene sheets
• Surface plasmons for doped graphene
• Casimir interactions in strained graphene systems
• Conductance response of graphene nanoribbons and quantum point contacts in the scanning probe measurements

Cited by in corpus (5)

• Electric conductivity in graphene: Kubo model versus a nonlocal quantum field theory model
• Temperature Dependence of the Response Functions of Graphene: Impact on Casimir and Casimi-Polder Forces in and out of Thermal Equilibrium
• Comment on "Electric conductivity of graphene: Kubo model versus a nonlocal quantum field theory model (arXiv:2403.02279v3)"
• Casimir energy for $N$ constant conductivity $\delta$-plates with a neural network perception
• Bag boundaries for quasispinor confinement within nanolanes on a graphene sheet