Jahn-Teller effect and asymptotic behavior of the recursion-method coefficients

Journal Article · Wed Jun 15 00:00:00 EDT 1988 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.37.10612· OSTI ID:5071029

Martinelli, L; Parravicini, G P

In the study of the strongly coupled electron-phonon systems by the recursion procedure, we have examined the asymptotic behavior of the continued-fraction coefficients. Such a knowledge allows us to extend the continued-fraction coefficients and to calculate accurately the absorption band. Furthermore a new technique based on the properties of continued fractions to include Gaussian or other types of broadening has been introduced. This procedure has been applied to the study of the Jahn-Teller effect in the absorption band shape for the 2s-2p electron transition in Ag:Ar. The relevant electron-phonon interaction considered is linear; the phonon symmetries taken into account are GAMMA/sub 3//sup +/ or GAMMA/sub 5//sup +/, and spin-orbit coupling in the p state is included. The theoretical line shape exhibits three different absorption bands, in agreement with previous theoretical calculations and experimental results.

• Research Organization: Dipartimento di Fisica, Universita degli Studi di Pisa, I-56100 Pisa, Italy
• OSTI ID: 5071029
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Vol. 37:18
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
SILVER
ABSORPTION SPECTRA
JAHN-TELLER EFFECT
ARGON
ASYMPTOTIC SOLUTIONS
CONTINUED FRACTIONS
CRYSTAL DEFECTS
CRYSTAL LATTICES
DEFORMATION
ELECTRON-PHONON COUPLING
HAMILTONIANS
RECURSION RELATIONS
CRYSTAL STRUCTURE
ELEMENTS
FLUIDS
GASES
MATHEMATICAL OPERATORS
METALS
NONMETALS
QUANTUM OPERATORS
RARE GASES
SPECTRA
TRANSITION ELEMENTS
360104* - Metals & Alloys- Physical Properties