Ratio 2. delta. /sub 0//k/sub B/T/sub c/ within Eliashberg theory

Journal Article · Sun Jan 01 00:00:00 EST 1984 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.29.184· OSTI ID:5137742

Mitrovic, B; Zarate, H G; Carbotte, J P

We have calculated the ratio of the energy gap ..delta../sub 0/ to the critical temperature T/sub c/ for a large number of known electron-phonon spectral densities with the use of the imaginary-axis formulation of Eliashberg theory with an analytic-continuation technique to the real axis. Agreement with experiment is within a few percent. It is found that the general trend obtained for 2..delta../sub 0//k/sub B/T/sub c/ against T/sub c//..omega../sub ln/, where ..omega../sub ln/ is the popular Allen-Dynes expression for the average phonon energy, can be reproduced by a two-parameter functional form of the general type first given by Geilikman and Kresin. The details, however, can only be understood with complete calculations.

• Research Organization: Department of Physics, Brock University, St. Catharines, Ontario L2S3A1, Canada
• OSTI ID: 5137742
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Vol. 29:1
• Country of Publication: United States
• Language: English

Related Subjects

75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
SUPERCONDUCTORS
ENERGY GAP
TRANSITION TEMPERATURE
ELECTRON-PHONON COUPLING
FUNCTIONALS
GORKOV-ELIASHBERG THEORY
PADE APPROXIMATION
SPECTRAL DENSITY
THEORETICAL DATA
DATA
FUNCTIONS
INFORMATION
NUMERICAL DATA
PHYSICAL PROPERTIES
SPECTRAL FUNCTIONS
THERMODYNAMIC PROPERTIES
656101* - Solid State Physics- Superconductivity- General Theory- (-1987)