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

Abstract

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.

Authors:
;
Publication Date:
Research Org.:
Dipartimento di Fisica, Universita degli Studi di Pisa, I-56100 Pisa, Italy
OSTI Identifier:
5071029
Resource Type:
Journal Article
Journal Name:
Phys. Rev. B: Condens. Matter; (United States)
Additional Journal Information:
Journal Volume: 37:18
Country of Publication:
United States
Language:
English
Subject:
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

Citation Formats

Martinelli, L, and Parravicini, G P. Jahn-Teller effect and asymptotic behavior of the recursion-method coefficients. United States: N. p., 1988. Web. doi:10.1103/PhysRevB.37.10612.
Martinelli, L, & Parravicini, G P. Jahn-Teller effect and asymptotic behavior of the recursion-method coefficients. United States. https://doi.org/10.1103/PhysRevB.37.10612
Martinelli, L, and Parravicini, G P. Wed . "Jahn-Teller effect and asymptotic behavior of the recursion-method coefficients". United States. https://doi.org/10.1103/PhysRevB.37.10612.
@article{osti_5071029,
title = {Jahn-Teller effect and asymptotic behavior of the recursion-method coefficients},
author = {Martinelli, L and Parravicini, G P},
abstractNote = {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.},
doi = {10.1103/PhysRevB.37.10612},
url = {https://www.osti.gov/biblio/5071029}, journal = {Phys. Rev. B: Condens. Matter; (United States)},
number = ,
volume = 37:18,
place = {United States},
year = {1988},
month = {6}
}