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Josephson-like currents in graphene for arbitrary time-dependent potential barriers

Authors
  • Savel'ev, Sergey E.
  • Hausler, Wolfgang
  • Hanggi, Peter
Type
Preprint
Publication Date
Sep 12, 2013
Submission Date
Jul 25, 2011
Identifiers
arXiv ID: 1107.4983
Source
arXiv
License
Yellow
External links

Abstract

From the exact solution of the Dirac-Weyl equation we find unusual currents j_y running in y-direction parallel to a time-dependent scalar potential barrier W(x,t) placed upon a monolayer of graphene, even for vanishing momentum component p_y. In their sine-like dependence on the phase difference of wave functions, describing left and right moving Dirac fermions, these currents resemble Josephson currents in superconductors, including the occurance of Shapiro steps at certain frequencies of potential oscillations. The Josephson-like currents are calculated for several specific time-dependent barriers. A novel type of resonance is discovered when, accounting for the Fermi velocity, temporal and spatial frequencies match.

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