Studies of many-body effect on resonant tunneling by green function method

Fumiko Yamaguchi, Mikio Eto, Kiyoshi Kawamura

Research output: Contribution to journalArticle

3 Citations (Scopus)

Abstract

An analytical expression for the Green function is derived for an independent electron which moves in a one-dimensional space with a double-square potential barrier. A perturbation theory is constructed for a system of interacting electrons and the effect of the Coulomb interaction on resonant tunneling phenomena is studied. Solving numerically the Dyson equation of the one-dimensional system in the Hartree approximation, the self-consistent Green function is computed, from which the transmission probability through the barrier and the density of states within the well region have been calculated and analyzed. The impurity Anderson model is examined in comparison with the present model of more fundamental nature. Our method is expected to be applied to studies of other types of interaction in an inhomogeneous system in quasi-one-dimension.

Original languageEnglish
Pages (from-to)209-222
Number of pages14
JournalJournal of the Physical Society of Japan
Volume63
Issue number1
Publication statusPublished - 1994 Jan

Fingerprint

resonant tunneling
Green's functions
Hartree approximation
electrons
perturbation theory
interactions
impurities

Keywords

  • Coulomb blockade
  • Coulomb interaction
  • Green function
  • Impurity Anderson model
  • One-dimensional system
  • Resonant tunneling
  • Transmission probability

ASJC Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Studies of many-body effect on resonant tunneling by green function method. / Yamaguchi, Fumiko; Eto, Mikio; Kawamura, Kiyoshi.

In: Journal of the Physical Society of Japan, Vol. 63, No. 1, 01.1994, p. 209-222.

Research output: Contribution to journalArticle

@article{5cac8786f52b45c28eec3af34049ae03,
title = "Studies of many-body effect on resonant tunneling by green function method",
abstract = "An analytical expression for the Green function is derived for an independent electron which moves in a one-dimensional space with a double-square potential barrier. A perturbation theory is constructed for a system of interacting electrons and the effect of the Coulomb interaction on resonant tunneling phenomena is studied. Solving numerically the Dyson equation of the one-dimensional system in the Hartree approximation, the self-consistent Green function is computed, from which the transmission probability through the barrier and the density of states within the well region have been calculated and analyzed. The impurity Anderson model is examined in comparison with the present model of more fundamental nature. Our method is expected to be applied to studies of other types of interaction in an inhomogeneous system in quasi-one-dimension.",
keywords = "Coulomb blockade, Coulomb interaction, Green function, Impurity Anderson model, One-dimensional system, Resonant tunneling, Transmission probability",
author = "Fumiko Yamaguchi and Mikio Eto and Kiyoshi Kawamura",
year = "1994",
month = "1",
language = "English",
volume = "63",
pages = "209--222",
journal = "Journal of the Physical Society of Japan",
issn = "0031-9015",
publisher = "Physical Society of Japan",
number = "1",

}

TY - JOUR

T1 - Studies of many-body effect on resonant tunneling by green function method

AU - Yamaguchi, Fumiko

AU - Eto, Mikio

AU - Kawamura, Kiyoshi

PY - 1994/1

Y1 - 1994/1

N2 - An analytical expression for the Green function is derived for an independent electron which moves in a one-dimensional space with a double-square potential barrier. A perturbation theory is constructed for a system of interacting electrons and the effect of the Coulomb interaction on resonant tunneling phenomena is studied. Solving numerically the Dyson equation of the one-dimensional system in the Hartree approximation, the self-consistent Green function is computed, from which the transmission probability through the barrier and the density of states within the well region have been calculated and analyzed. The impurity Anderson model is examined in comparison with the present model of more fundamental nature. Our method is expected to be applied to studies of other types of interaction in an inhomogeneous system in quasi-one-dimension.

AB - An analytical expression for the Green function is derived for an independent electron which moves in a one-dimensional space with a double-square potential barrier. A perturbation theory is constructed for a system of interacting electrons and the effect of the Coulomb interaction on resonant tunneling phenomena is studied. Solving numerically the Dyson equation of the one-dimensional system in the Hartree approximation, the self-consistent Green function is computed, from which the transmission probability through the barrier and the density of states within the well region have been calculated and analyzed. The impurity Anderson model is examined in comparison with the present model of more fundamental nature. Our method is expected to be applied to studies of other types of interaction in an inhomogeneous system in quasi-one-dimension.

KW - Coulomb blockade

KW - Coulomb interaction

KW - Green function

KW - Impurity Anderson model

KW - One-dimensional system

KW - Resonant tunneling

KW - Transmission probability

UR - http://www.scopus.com/inward/record.url?scp=21344477363&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=21344477363&partnerID=8YFLogxK

M3 - Article

AN - SCOPUS:21344477363

VL - 63

SP - 209

EP - 222

JO - Journal of the Physical Society of Japan

JF - Journal of the Physical Society of Japan

SN - 0031-9015

IS - 1

ER -