Coulomb effects between electrons in quantum box structures

R. Yang; P. P. Ruden; D. L. Smith

doi:10.1080/13642819508239039

Coulomb effects between electrons in quantum box structures

R. Yang
, P. P. Ruden
, D. L. Smith

Electrical and Computer Engineering

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

The effects of the Coulomb repulsion between electrons in single and multiple, vertically stacked quantum boxes are studied. We model the single electron states in quantum boxes as two-dimensional harmonic oscillator states and construct two-electron wavefunctions by the configuration interaction technique. Strong correlation effects determine the electronic structure of two electrons in a single quantum box. Based on the ground state two-electron wavefunction a variational trial function is constructed to examine the interaction effects between electrons in two, three, four, and N vertically stacked quantum boxes, each populated by a single electron. It is shown that the electron-electron interaction can lead to interesting polarization effects in multiple quantum boxes, if the relative strengths of the Coulomb interaction and the electron confining interaction are not too small. Numerical results based on GaAs materials parameters are presented.

Original language	English (US)
Pages (from-to)	359-372
Number of pages	14
Journal	Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties
Volume	71
Issue number	3
DOIs	https://doi.org/10.1080/13642819508239039
State	Published - Mar 1995

Bibliographical note

Funding Information:
ACKNOWLEDGMENTS Partial support of this work was provided by ONWARPA, by ARO and by NSF. P.P.R. gratefully acknowledges Los Alamos National Laboratory for the hospitality provided during the Spring 1993. The work of DLS was supported by the Los Alamos National Laboratory LDRD programme.

Publisher link

10.1080/13642819508239039

Find It

Find It at U of M Libraries

Cite this

@article{ae7c0915237645f1b637840bb218bf96,

title = "Coulomb effects between electrons in quantum box structures",

abstract = "The effects of the Coulomb repulsion between electrons in single and multiple, vertically stacked quantum boxes are studied. We model the single electron states in quantum boxes as two-dimensional harmonic oscillator states and construct two-electron wavefunctions by the configuration interaction technique. Strong correlation effects determine the electronic structure of two electrons in a single quantum box. Based on the ground state two-electron wavefunction a variational trial function is constructed to examine the interaction effects between electrons in two, three, four, and N vertically stacked quantum boxes, each populated by a single electron. It is shown that the electron-electron interaction can lead to interesting polarization effects in multiple quantum boxes, if the relative strengths of the Coulomb interaction and the electron confining interaction are not too small. Numerical results based on GaAs materials parameters are presented.",

author = "R. Yang and Ruden, \{P. P.\} and Smith, \{D. L.\}",

note = "Funding Information: ACKNOWLEDGMENTS Partial support of this work was provided by ONWARPA, by ARO and by NSF. P.P.R. gratefully acknowledges Los Alamos National Laboratory for the hospitality provided during the Spring 1993. The work of DLS was supported by the Los Alamos National Laboratory LDRD programme.",

year = "1995",

month = mar,

doi = "10.1080/13642819508239039",

language = "English (US)",

volume = "71",

pages = "359--372",

journal = "Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties",

issn = "1364-2812",

publisher = "Taylor and Francis Ltd.",

number = "3",

}

TY - JOUR

T1 - Coulomb effects between electrons in quantum box structures

AU - Yang, R.

AU - Ruden, P. P.

AU - Smith, D. L.

N1 - Funding Information: ACKNOWLEDGMENTS Partial support of this work was provided by ONWARPA, by ARO and by NSF. P.P.R. gratefully acknowledges Los Alamos National Laboratory for the hospitality provided during the Spring 1993. The work of DLS was supported by the Los Alamos National Laboratory LDRD programme.

PY - 1995/3

Y1 - 1995/3

N2 - The effects of the Coulomb repulsion between electrons in single and multiple, vertically stacked quantum boxes are studied. We model the single electron states in quantum boxes as two-dimensional harmonic oscillator states and construct two-electron wavefunctions by the configuration interaction technique. Strong correlation effects determine the electronic structure of two electrons in a single quantum box. Based on the ground state two-electron wavefunction a variational trial function is constructed to examine the interaction effects between electrons in two, three, four, and N vertically stacked quantum boxes, each populated by a single electron. It is shown that the electron-electron interaction can lead to interesting polarization effects in multiple quantum boxes, if the relative strengths of the Coulomb interaction and the electron confining interaction are not too small. Numerical results based on GaAs materials parameters are presented.

AB - The effects of the Coulomb repulsion between electrons in single and multiple, vertically stacked quantum boxes are studied. We model the single electron states in quantum boxes as two-dimensional harmonic oscillator states and construct two-electron wavefunctions by the configuration interaction technique. Strong correlation effects determine the electronic structure of two electrons in a single quantum box. Based on the ground state two-electron wavefunction a variational trial function is constructed to examine the interaction effects between electrons in two, three, four, and N vertically stacked quantum boxes, each populated by a single electron. It is shown that the electron-electron interaction can lead to interesting polarization effects in multiple quantum boxes, if the relative strengths of the Coulomb interaction and the electron confining interaction are not too small. Numerical results based on GaAs materials parameters are presented.

UR - https://www.scopus.com/pages/publications/84953993895

UR - https://www.scopus.com/pages/publications/84953993895#tab=citedBy

U2 - 10.1080/13642819508239039

DO - 10.1080/13642819508239039

M3 - Article

AN - SCOPUS:84953993895

SN - 1364-2812

VL - 71

SP - 359

EP - 372

JO - Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties

JF - Philosophical Magazine B: Physics of Condensed Matter; Statistical Mechanics, Electronic, Optical and Magnetic Properties

IS - 3

ER -

Coulomb effects between electrons in quantum box structures

Abstract

Bibliographical note

Publisher link

Find It

Other files and links

Fingerprint

Cite this