Wigner-function approach to a single-electron tunnel junction

Sangchul Oh, Sang il Choi

Research output: Contribution to journalArticle

2 Citations (Scopus)


We demonstrate that the Wigner function is suitable to describe single-electron tunneling in ultrasmall tunnel junctions. For a current-biased junction, we derive a master equation for the Wigner function which describes charging effects on Cooper-pair tunneling, quasiparticle-pair tunneling, and normal single-electron tunneling in an unified way. We obtain the current-voltage I-V characteristic for an ultrasmall Josephson junction that recovers those for the Josephson junction with no charging energy in the limit of e/C→0. It is predicted that, due to charging effect in the ultrasmall Josephson, the position of the Riedel peak and the gap of the quasiparticle-pair interference term are changed from 2Δ/e to 2Δ/e-e/2C, while the quasiparticle current’s onset changes from 2Δ/e to 2Δ/e+e/2C.

Original languageEnglish
Pages (from-to)4440-4443
Number of pages4
JournalPhysical Review B - Condensed Matter and Materials Physics
Issue number7
Publication statusPublished - 1 Jan 1996


ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Condensed Matter Physics

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