Numerical computation of dynamical Schwinger-like pair production in graphene
arXiv:1607.03062 · doi:10.1007/s11182-017-0990-1
Abstract
The density of electron-hole pairs produced in a graphene sample immersed in a homogeneous time-dependent electrical field is evaluated. Because low energy charge carriers in graphene are described by relativistic quantum mechanics, the calculation is performed within the strong field quantum electrodynamics formalism, requiring a solution of the Dirac equation in momentum space. The latter is solved using a split-operator numerical scheme on parallel computers, allowing for the investigation of several field configurations. The strength of the method is illustrated by computing the electron momentum density generated from a realistic laser pulse model. We observe quantum interference patterns reminiscent of Landau-Zener-Stückelberg interferometry.
arXiv comment5 pages, 1 figure, contribution to the Workshop Proceedings of the International Workshop SFP-2016: Strong Field Problems in Quantum Theory, Tomsk, Russia, June 6-11, 2016
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- Carrier-envelope phase effects in graphene
- Pulse shaping in the terahertz frequency range for the control of photo-excited carriers in graphene