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Critical Densities for the RPA Approach in Quasi‐One‐Dimensional Electronic Systems
Author(s) -
Borges J.B.,
Machado P.C.M.,
Osório F.A.P.,
Borges A.N.
Publication year - 2002
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 - 10.1002/1521-3951(200207)232:1<76::aid-pssb76>3.0.co;2-n
Subject(s) - random phase approximation , condensed matter physics , function (biology) , fermi gas , physics , electron , electronic correlation , quantum mechanics , evolutionary biology , biology
The intrasubband pair‐correlation function, g ( x ), for a quasi‐one‐dimensional electron gas confined in a GaAs–Al x Ga 1— x As rectangular quantum wire within the random‐phase approximation (RPA) is calculated for several values of the potential barrier height and wire width. We have studied the dependence of the pair‐correlation function on the electronic density, and delimited the regions where the RPA approach gives physically acceptable results, i.e. the electronic density values where g ( x ) possesses positive values for small interparticle separations. The critical density increases with increasing potential barrier height or decreasing wire width.