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High Energy Physics - Phenomenology

arXiv:1602.08310 (hep-ph)
[Submitted on 26 Feb 2016 (v1), last revised 23 Dec 2016 (this version, v2)]

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

Authors:Ibrahim Akal, Reinhold Egger, Carsten Müller, Selym Villalba-Chávez
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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.
Comments: 9 pages, 3 figures
Subjects: High Energy Physics - Phenomenology (hep-ph); Mesoscale and Nanoscale Physics (cond-mat.mes-hall)
Cite as: arXiv:1602.08310 [hep-ph]
  (or arXiv:1602.08310v2 [hep-ph] for this version)
  https://doi.org/10.48550/arXiv.1602.08310
Journal reference: Phys. Rev. D 93, 116006 (2016)
Related DOI: https://doi.org/10.1103/PhysRevD.93.116006

Submission history

From: Selym Villalba-Chavez Dr. [view email]
[v1] Fri, 26 Feb 2016 13:17:40 UTC (2,477 KB)
[v2] Fri, 23 Dec 2016 14:14:45 UTC (2,569 KB)
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