Open AccessON HYBRIDIZED BAND AND THE INTRINSIC UPPER LIMIT OF ELECTRON-PHONON COUPLING
Author(s) -
Deshun Yin,
Liyuan Zhang,
Yuchao Dai
Publication year - 1979
Publication title -
wuli xuebao
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.199
H-Index - 47
ISSN - 1000-3290
DOI - 10.7498/aps.28.841
Subject(s) - physics , condensed matter physics , logarithm , coupling (piping) , limit (mathematics) , electron , phonon , phase (matter) , logarithmic derivative , function (biology) , wave function , quantum mechanics , materials science , mathematical analysis , mathematics , metallurgy , evolutionary biology , biology
The general properties of hybridized conduction bands were studied in the LMTO representation. General expressions of the density of states N(E) and partial wei-ghts |Blik|2 were derived. Introducing a "phase function" yl which corresponds to a certain radial wave function φl, it permits one to derive an analytical approximation for the logarithmic derivative of φl and the phase shift due to a spherically symmetrical potential. Then the analytical behaviour of electronic factor η in electron-phonon coupling was studied. We verified the presence of an "intrinsic upper limit" for η and evaluated its order of magnitude. Discussions were given for the general rules affecting η and the comparison with experiment. As for the relation to searching for strong coupling and high Tc, we emphasized the role of magnitude of hybridization, especilly enhancing the f-component in a d-like conduction band.