Wigner Distribution Function and Its Application to One-Dimensional Ballistic Channels

Yoshimasa Isawa, Tsuyoshi Hatano

Research output: Contribution to journalArticle

6 Citations (Scopus)

Abstract

The Wigner function is exactly solved and calculated for an idealized one-dimensional ballistic channel in which the right and the left electrodes are replaced by appropriate boundary conditions and the scattering potential by a delta function, and any scattering mechanisms in leads are absent. The local electron density and the current are evaluated numerically based on this solution. We find the oscillation of the electron density around the scattering potential closely related to the Friedel oscillation, and the quantization of two terminal conductance independent of the transmission coefficient of the electron wave. We ascribe this quantization to the strong correlation between two reservoirs through the channel.

Original languageEnglish
Pages (from-to)3108-3119
Number of pages12
Journaljournal of the physical society of japan
Volume60
Issue number9
DOIs
Publication statusPublished - 1991 Apr

ASJC Scopus subject areas

  • Physics and Astronomy(all)

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