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Large polaron in an asymmetrical rectangular quantum well
Author(s) -
Bibik A. I.,
Gerlach B.,
Smondyrev M. A.
Publication year - 2003
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/pssb.200301793
Subject(s) - polaron , effective mass (spring–mass system) , ground state , physics , wave function , electron , condensed matter physics , function (biology) , quantum , quantum mechanics , evolutionary biology , biology
The polaron energy and the effective mass are calculated for an electron confined in an asymmetrical finite quantum well constructed of Al x l Ga 1– x As/GaAs/Al x r Ga 1– x r As layers. To simplify the study we suggest a model in which parameters of a medium are averaged over the ground‐state wave function. Our model reproduces the correct three‐dimensional asymptotics at both small and large widths. We obtained a rather monotonous behavior of the polaron energy as a function of the confining potential width and found a peak of the effective mass. A comparison with theoretical results by other authors is made.