Testing the Dirac equation against the tight binding model for non-equilibrium graphene

Péter Boross, Balázs Dóra, Roderich Moessner

Research output: Contribution to journalArticle

1 Citation (Scopus)

Abstract

We study the time evolution of the electric current in ballistic graphene, after switching on an electric field. After a short transient, determined by high energy states, the current reaches an intermediate-time plateau. The "dc conductivity"coincides with the ac conductivity of graphene in this regime. For longer times, it increases further linearly with time and nonlinearly with the electric field as E3/2. To test the predictions based on the Dirac equation, we simulate numerically the time evolution of the current on the honeycomb lattice. Our analytical results agree with numerics for both the intraband and interband contribution to the current.

Original languageEnglish
Pages (from-to)2627-2630
Number of pages4
JournalPhysica Status Solidi (B) Basic Research
Volume248
Issue number11
DOIs
Publication statusPublished - Nov 2011

Keywords

  • Dirac equation
  • Graphene
  • Non-equilibrium transport
  • Schwinger's pair production

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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