Open AccessSINGULAR POINT zph AND THE SERIES FOR SUPERCONDUCTING CRITICAL TEMPERATURE
Author(s) -
X. L. Lei
Publication year - 1981
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.30.1376
Subject(s) - series (stratigraphy) , superconductivity , condensed matter physics , high temperature superconductivity , singular point of a curve , physics , mathematical analysis , mathematics , geology , paleontology
Based on a discussion on the analytical properties of the complex function Fα(y)=∫0(ωph-α)(ω2y)/(ω2y+1)g(ω)dω, we suggest that the partial sum of the Tc series solution proposed by Wu Hang-sheng et al., as an approximate expression for superconducting critical temperature, may still work fairly well within certain range of 1/λ greater thanthe radius of convergence which is limited by the singular point zph. However, the error of the expression that depends upon the highfrequency behavior of the effective phonon spectral g(ω), can not be made infinitely small.