Tree-level electron-photon interactions in graphene

Abstract

Graphene's low-energy electronic excitations obey a 2+1 dimensional Dirac Hamiltonian. After extending this Hamiltonian to include interactions with a quantized electromagnetic field, we calculate the amplitude associated with the simplest, tree-level Feynman diagram: the vertex connecting a photon with two electrons. This amplitude leads to analytic expressions for the 3D angular dependence of photon emission, the photon-mediated electron-hole recombination rate, and corrections to graphene's opacity $\pi \alpha$ and dynamic conductivity $\pi e^2/2h$ for situations away from thermal equilibrium, as would occur in a graphene laser. We find that Ohmic dissipation in perfect graphene can be attributed to spontaneous emission.

5 pages, 3 figures

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Cited by in corpus (10)

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• Polarized light emission from individual incandescent carbon nanotubes
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• Dimensionality-driven photoproduction of massive Dirac pairs near threshold in gapped graphene monolayers
• Signature of Schwinger's pair creation rate via radiation generated in graphene by strong electric current
• Radiation from electrons in graphene in strong electric field
• Polarized photoluminescence clocks ultrafast pseudospin relaxation in graphene
• Single-color pyrometry of individual incandescent multiwalled carbon nanotubes
• Photon emission in the graphene under the action of a quasiconstant external electric field
• Impedance matching of inverted conductors: Two-dimensional beam splitters with divergent gain