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

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

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.

Keywords: quantum dot electron--electron interaction the variational method of Pekar type

Received: 25 April 2009
Revised: 05 June 2009
Accepted manuscript online:

PACS:	73.21.La	(Quantum dots)
	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)

Fund: Project supported by the National Natural Science Foundation of China (Grant No.~10747002) and Inner Mongolia Universities Science Research Project (Grant No.~NJzc08158).

Cite this article:

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 2010 Chin. Phys. B 19 047102

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