The energy levels of a two-electron two-dimensional parabolic quantum dot

doi:10.1088/1674-1056/19/4/047102

中国物理B ›› 2010, Vol. 19 ›› Issue (4): 47102-047102.doi: 10.1088/1674-1056/19/4/047102

The energy levels of a two-electron two-dimensional parabolic quantum dot

肖景林¹, 李伟萍², 尹辑文², 于毅夫², 王子武²

(1)College of Physics and Electronic Information, Inner Mongolia University for the Nationalities, Tongliao 028043, China; (2)Department of Physics and Electronic Information Engineering, Chifeng College, Chifeng 024000, China

收稿日期:2009-04-25 修回日期:2009-06-05 出版日期:2010-04-15 发布日期:2010-04-15
基金资助:
Project supported by the National Natural Science Foundation of China (Grant No.~10747002) and Inner Mongolia Universities Science Research Project (Grant No.~NJzc08158).

The energy levels of a two-electron two-dimensional parabolic quantum dot

Li Wei-Ping(李伟萍)^a)^†, Xiao Jing-Lin(肖景林)^b),Yin Ji-Wen(尹辑文)^a), Yu Yi-Fu(于毅夫)^a), and Wang Zi-Wu(王子武)^a)

^a Department of Physics and Electronic Information Engineering, Chifeng College, Chifeng 024000, China; ^b College of Physics and Electronic Information, Inner Mongolia University for the Nationalities, Tongliao 028043, China

Received:2009-04-25 Revised:2009-06-05 Online:2010-04-15 Published:2010-04-15
Supported by:
Project supported by the National Natural Science Foundation of China (Grant No.~10747002) and Inner Mongolia Universities Science Research Project (Grant No.~NJzc08158).

摘要/Abstract

摘要： This paper studies the two-electron total energy and the energy of the electron--electron interaction by using a variational method of Pekar type on the condition of electric--LO-phonon strong coupling in a parabolic quantum dot. It considers the following three cases: 1) two electrons are in the ground state; 2) one electron is in the ground state, the other is in the first-excited state; 3) two electrons are in the first-excited state. The relations of the two-electron total energy and the energy of the electron--electron interaction on the Coulomb binding parameter, the electron-LO-phonon coupling constant and the confinement length of the quantum dot are derived in the three cases.

Abstract: This paper studies the two-electron total energy and the energy of the electron--electron interaction by using a variational method of Pekar type on the condition of electric--LO-phonon strong coupling in a parabolic quantum dot. It considers the following three cases: 1) two electrons are in the ground state; 2) one electron is in the ground state, the other is in the first-excited state; 3) two electrons are in the first-excited state. The relations of the two-electron total energy and the energy of the electron--electron interaction on the Coulomb binding parameter, the electron-LO-phonon coupling constant and the confinement length of the quantum dot are derived in the three cases.

Key words: quantum dot, electron--electron interaction, the variational method of Pekar type

中图分类号: (Quantum dots)

73.21.La

63.22.-m (Phonons or vibrational states in low-dimensional structures and nanoscale materials) 63.20.K- (Phonon interactions) 71.15.Nc (Total energy and cohesive energy calculations) 71.38.-k (Polarons and electron-phonon interactions)

李伟萍, 肖景林, 尹辑文, 于毅夫, 王子武. The energy levels of a two-electron two-dimensional parabolic quantum dot[J]. 中国物理B, 2010, 19(4): 47102-047102.

Li Wei-Ping(李伟萍), Xiao Jing-Lin(肖景林),Yin Ji-Wen(尹辑文), Yu Yi-Fu(于毅夫), and Wang Zi-Wu(王子武). The energy levels of a two-electron two-dimensional parabolic quantum dot[J]. Chin. Phys. B, 2010, 19(4): 47102-047102.

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The energy levels of a two-electron two-dimensional parabolic quantum dot

The energy levels of a two-electron two-dimensional parabolic quantum dot

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