Non-perturbative field theoretical aspects of graphene and related systems

Abstract

In this article, we review the dynamics of charge carriers in graphene and related 2D systems from a quantum field theoretical point of view. By allowing the electromagnetic fields to propagate throughout space and constraining fermions to move on a 2D manifold, the effective theory of such systems becomes a non-local version of quantum electrodynamics (QED) dubbed in literature pseudo or reduced QED. We review some aspects of the theory assuming the coupling arbitrary in strength. In particular, we focus on the chiral symmetry breaking scenarios and the analytical structure of the fermion propagator in vacuum and under the influence of external agents like a heat bath, in the presence of a Chern-Simons term, anisotropy and in curved space. We briefly discuss the major advances and some new results on this field.

Published version: 2 figs added, refs added, eq. typos corrected

References in corpus (16)

• Electric Field Effect in Atomically Thin Carbon Films
• Computation of the O(p^6) order low-energy constants: an update
• Electromagnetic current correlations in reduced quantum electrodynamics
• Building the Full Fermion-Photon Vertex of QED by Imposing Multiplicative Renormalizability of the Schwinger-Dyson Equations for the Fermion and Photon Propagators
• Unitarity of theories containing fractional powers of the d'Alembertian operator
• Critical behaviour of reduced QED${}_{4,3}$ and dynamical fermion gap generation in graphene
• Critical behaviour of ($2+1$)-dimensional QED: $1/N_f$-corrections in an arbitrary non-local gauge
• Two-loop fermion self-energy and propagator in reduced QED${}_{3,2}$
• Landau-Khalatnikov-Fradkin transformation in three-dimensional quenched QED
• Landau-Khalatnikov-Fradkin transformation of the fermion propagator in massless reduced QED
• The effect of a Chern-Simons term on dynamical gap generation in graphene
• Confinement in Maxwell-Chern-Simons Planar Quantum Electrodynamics and the 1/N approximation
• Half-integer anomalous currents in 2D materials from a QFT viewpoint
• Chiral symmetry restoration in RQED at finite temperature in the supercritical coupling regime
• Reduced quantum electrodynamics in curved space
• Effects of the Pseudo-Chern-Simons action for strongly correlated electrons in the plane

Cited by in corpus (2)

• Conformal Surface Defects in Maxwell Theory are Trivial
• Electron-Photon Vertex and Dynamical Chiral Symmetry Breaking in Reduced QED: An Advanced Study of Gauge Invariance