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Many‐Body Effects for a Quasi‐Two‐Dimensional Electron–Hole Plasma Including Finite Well‐Width
Author(s) -
Tong C.,
Kim M.R.
Publication year - 2001
Publication title -
physica status solidi (b)
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.51
H-Index - 109
eISSN - 1521-3951
pISSN - 0370-1972
DOI - 10.1002/(sici)1521-3951(200105)225:1<185::aid-pssb185>3.0.co;2-h
Subject(s) - coulomb , physics , ground state , random phase approximation , hamiltonian (control theory) , condensed matter physics , exchange interaction , hartree , electron , many body theory , fermi energy , atomic physics , quantum mechanics , mathematical optimization , mathematics , ferromagnetism
By dealing with the many‐body effects and the valence‐band nonparabolicity, we discuss the ground‐state energy as a function of the sheet carrier density and the well‐width for a quasi‐two‐dimensional quantum well system. The many‐body effects due to exchange interaction and Coulomb correlation are evaluated within the random‐phase approximation. Such evaluation includes the solving of the Luttinger‐Kohn Hamiltonian, which leads to obtaining the valence band structure. We observe that the dynamical correction of the Coulomb correlation is comparable with the exchange energy at the Fermi edge and therefore the correlation effects play an important role in determination of the ground‐state energy. Also, it is shown that the ground‐state energy depends on the well‐width and the sheet carrier density.