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The Surface or Interface Polaron in Polar Crystals. I. Weak‐Coupling Limit
Author(s) -
JinSheng Pan
Publication year - 1985
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.2221270131
Subject(s) - polaron , polar , condensed matter physics , crystal (programming language) , hamiltonian (control theory) , dielectric , materials science , physics , chemistry , quantum mechanics , electron , optoelectronics , mathematical optimization , mathematics , computer science , programming language
The effective Hamiltonian and effective potential are given for surface weak‐coupling polarons in polar crystals. Their binding energy and effective mass are also evaluated. When a sample of polar crystal contacts with another sample of non‐polar material, and the high frequency dielectric constant ε ∞2 of the non‐polar material is larger than that (i.e. ε ∞1 ) of the polar crystal, or is larger than a certain critical value (ε ∞2 ) min , the polaron may exist in the interface. Reversely, when ε ∞2 < (ε∞ 2 ) min , the polaron is not able to exist near the interface. If the non‐polar sample is metallic (i.e. ε ∞2 = ∞), there is a shallow potential well near the interface, in which the polaron may be trapped.