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Polarons in a Cylindrical Quantum Wire with Finite‐Barrier Well
Author(s) -
Pokatilov E. P.,
Klimin S. N.,
Balaban S. N.,
Fomin V. M.
Publication year - 1995
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.2221910208
Subject(s) - polaron , condensed matter physics , cylinder , eigenfunction , electron , quantum wire , radius , effective mass (spring–mass system) , physics , rectangular potential barrier , quantum well , quantum , materials science , quantum mechanics , eigenvalues and eigenvectors , geometry , mathematics , computer security , computer science , laser
The eigenfunctions and eigenenergies of an electron in a finite‐barrier cylindrical quantum wire are obtained. The case of different electron band masses in the cylinder and the barrier material is discussed. The polaron binding energy and the polaron effective mass due to the interaction of an electron with two cylindrical‐interface optical modes as well as with cylindrical bulk‐in and cylindrical bulk‐out confined LO‐phonon modes are calculated, and their dependence on the radius of the cylinder is studied in detail. The comparison with the results for a 2D polaron is performed.