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F‐Centre Theory in Multivalley Cubic Crystals
Author(s) -
Khazan L. S.,
Pekar S. I.,
Sheka V. I.
Publication year - 1974
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.2220650125
Subject(s) - ionic crystal , operator (biology) , lattice (music) , anisotropy , coulomb , electron , crystal (programming language) , physics , quantum mechanics , partition (number theory) , cubic crystal system , condensed matter physics , wave function , chemistry , mathematics , ion , combinatorics , biochemistry , repressor , computer science , transcription factor , acoustics , gene , programming language
The interaction between an electron bound to a Coulomb potential and the LO lattice vibrations in a cubic multivalley ionic crystal is considered for not too weak coupling. The vibrational degrees of freedom in the partition function of the system are eliminated by Feynman's ordered‐operator technique. The complicated operator thus obtained depends only on the electron variables and is approximated by a suitable operator containing some available parameters. The latter provides to calculate the partition function of the F‐centre by means of a variational principle at arbitrary temperatures and thus to obtain the ground state energy of the F‐centre as a function of coupling parameters and of the anisotropy of electron band masses.