Dependence of 2. delta. /sub 0//k /SUB B/ T /SUB c/ on the shape of electron-phonon spectral density

Journal Article · Sun Jun 01 00:00:00 EDT 1986 · J. Low Temp. Phys.; (United States)

DOI:https://doi.org/10.1007/BF00681491· OSTI ID:5040275

Coombes, J M; Carbotte, J P

The effect on the ratio of the gap to the critical temperature 2..delta../sub 0//k /SUB B/ T /SUB c/ of various possible shapes for the electron-phonon spectral density is studied. The calculations are carried out keeping T /SUB c/ and T /SUB c/ / /SUP W/ /SUB ln/ fixed, where /SUP W/ /SUB ln/ is a characteristic phonon energy. When only realistic shapes known to occur in nature are considered, the ratio 2..delta../sub 0//k /SUB B/ T /SUB C/ shows little variation with shape. On the other hand, when the analysis is extended to a two-delta-function model, much larger variations are possible, particularly when fairly extreme nonphysical values are used for the positions in frequency of the delta functions.

• Research Organization: McMaster Univ., Hamilton, Ontario
• OSTI ID: 5040275
• Journal Information: J. Low Temp. Phys.; (United States), Vol. 63:5-6
• Country of Publication: United States
• Language: English

Related Subjects

36 MATERIALS SCIENCE
LEAD
ELECTRON-PHONON COUPLING
SPECTRAL DENSITY
COULOMB FIELD
DELTA FUNCTION
MASS RENORMALIZATION
MATHEMATICAL MODELS
SHAPE
SUPERCONDUCTIVITY
SUPERCONDUCTORS
TEMPERATURE DEPENDENCE
TRANSITION TEMPERATURE
TUNNEL EFFECT
ELECTRIC CONDUCTIVITY
ELECTRIC FIELDS
ELECTRICAL PROPERTIES
ELEMENTS
FUNCTIONS
METALS
PHYSICAL PROPERTIES
RENORMALIZATION
SPECTRAL FUNCTIONS
THERMODYNAMIC PROPERTIES
360104* - Metals & Alloys- Physical Properties