Ballistic transport in graphene beyond linear response

B. Rosenstein*, M. Lewkowicz, H. C. Kao, Y. Korniyenko

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

59 Citations (Scopus)


The process of coherent creation of particle-hole excitations by an electric field in graphene is quantitatively described beyond linear response. We calculate the evolution of current density, number of pairs and energy in ballistic regime for electric field E using the tight-binding model. While for ballistic flight times smaller than tnl E-1/2 current is linear in E and independent of time, for larger ballistic times the current increases after tnl as J E3/2 t and finally at yet larger times (t> tB E-1) Bloch oscillations set in. It is shown that the number of pairs follows the 2D generalization of the Schwinger's creation rate n E3/2 only on certain time segments with a prefactor different from that obtained using the asymptotic formula.

Original languageEnglish
Article number041416
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number4
Publication statusPublished - 2010 Jan 29

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics


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