Low-dimensional approach to pair production in an oscillating electric field: Application to bandgap graphene layers

Abstract

The production of particle-antiparticle pairs from the quantum field theoretic ground state in the presence of an external electric field is studied. Starting with the quantum kinetic Boltzmann-Vlasov equation in four-dimensional spacetime, we obtain the corresponding equations in lower dimensionalities by way of spatial compactification. Our outcomes in $2+1$-dimensions are applied to bandgap graphene layers, where the charge carriers have the particular property of behaving like light massive Dirac fermions. We calculate the single-particle distribution function for the case of an electric field oscillating in time and show that the creation of particle-hole pairs in this condensed matter system closely resembles electron-positron pair production by the Schwinger effect.

9 pages, 3 figures

References in corpus (19)

• Electric Field Effect in Atomically Thin Carbon Films
• The electronic properties of graphene
• Two Dimensional Atomic Crystals
• Chiral tunneling and the Klein paradox in graphene
• Substrate-induced band gap opening in epitaxial graphene
• Colloquium: Graphene spectroscopy
• Momentum signatures for Schwinger pair production in short laser pulses with a sub-cycle structure
• Schwinger pair production in space- and time-dependent electric fields: Relating the Wigner formalism to quantum kinetic theory
• Pair production in laser fields oscillating in space and time
• The Schwinger mechanism and graphene
• Barrier control in tunneling e^+ e^- photoproduction
• The Schwinger mechanism revisited
• Multi-particle Production and Thermalization in High-Energy QCD
• Dynamics of the particle - hole pair creation in graphene
• Electron-positron pair production in a bifrequent oscillating electric field
• Lifting shell structures in the dynamically assisted Schwinger effect in periodic fields
• Dynamics of the (spin-) Hall effect in topological insulators and graphene
• Influence of Laser Pulse Parameters on the Properties of e-e+ Plasmas Created from Vacuum
• Radiation from electrons in graphene in strong electric field

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