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Magnetopolaron in a rectangular quantum wire under a strong magnetic field
Author(s) -
Lü TianQuan,
Gu ShiWei
Publication year - 1992
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.2221740212
Subject(s) - quantum wire , ground state , condensed matter physics , magnetic field , physics , electron , constant (computer programming) , quantum , effective mass (spring–mass system) , phonon , field (mathematics) , quantum electrodynamics , quantum mechanics , mathematics , computer science , pure mathematics , programming language
Considering the interaction of an electron with the confined LO‐phonons, the ground state energy shift of a magnetopolaron in a rectangular quantum wire is calculated under a strong magnetic field using the effective mass approximation and the variational method. It is shown that when the external magnetic field keeps constant, the absolute value of the ground state energy shift of a magnetopolaron in a rectangular quantum wire as a function of the cross section of the wire increases monotonically with the increase of the size in one direction remaining constant in the other direction and increases very slowly when the size of the wire is very large. At constant cross section of the quantum wire the absolute value of the ground state energy shift increases approximately linarly with the increase of the external magnetic field.

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