Wigner model for Klein tunneling in graphene

Omar Morandi, Ferdinand Schürrer

Research output: Contribution to journalArticleResearchpeer-review

Abstract

Quantum corrections to the electron-hole motion in graphene are investigated by applying the multiband Wigner approach. A diagonalization procedure regarding the pseudo-spin degree of freedom is proposed. The resulting formulation of the equation of motion reveals to be particularly close to the classical description of the particle motion. This formal analogy offers a framework in which quantum phenomena can be described with a classical language and the question of the quantum-classical correspondence can be directly investigated. Some numerical results are presented showing the ability of our quasi-diagonal Wigner model to reproduce Klein tunneling in graphene under the application of an external electric field.
Original languageEnglish
Article numbere360
Number of pages19
JournalCommunications in Applied and Industrial Mathematics
Volume2
Issue number1
DOIs
Publication statusPublished - 2011

Fingerprint

Graphene
Equations of motion
Motion
Electric fields
Diagonalization
External Field
Analogy
Electrons
Equations of Motion
Electric Field
Correspondence
Degree of freedom
Model
Electron
Numerical Results
Formulation

Fields of Expertise

  • Advanced Materials Science

Treatment code (Nähere Zuordnung)

  • Basic - Fundamental (Grundlagenforschung)
  • Theoretical

Cite this

Wigner model for Klein tunneling in graphene. / Morandi, Omar; Schürrer, Ferdinand.

In: Communications in Applied and Industrial Mathematics , Vol. 2, No. 1, e360, 2011.

Research output: Contribution to journalArticleResearchpeer-review

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