Shiba-Rusinov theory of magnetic impurities in superconductors beyond s-wave scattering: Eliashberg formalism

Journal Article · Sat Sep 01 00:00:00 EDT 1984 · Phys. Rev. B: Condens. Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.30.2917· OSTI ID:6403343

Yoksan, S; Nagi, A D.S.

Shiba-Rusinov theory of magnetic impurities in isotropic superconductors beyond the s-wave scattering is generalized by using the Eliashberg formalism. The analytical expressions for the transition temperature T/sub c/ and the specific-heat jump ..delta..C are given using the square-well model for the electron-phonon interaction. Taken as a function of the impurity concentration, the quantities T/sub c//T/sub c0/ and ..delta..C/..delta..C/sub 0/ depend on the microscopic parameters lambda, ..mu..( and ..omega../sub D/ of the host material. However, this dependence is absent if one plots the above properties versus the normalized impurity concentration ..cap alpha../..cap alpha../sub cr/ or if ..delta..C/..delta..C/sub 0/ vs T/sub c//T/sub c0/ is studied. (T/sub c/0 and ..delta..C/sub 0/ are values of T/sub c/ and ..delta..C, respectively, in the absence of impurities; lambda is the electron-phonon interaction parameter, ..mu..( is the Coulomb pseudopotential, and ..omega../sub D/ is the Debye cutoff frequency; ..cap alpha.. is the spin-flip scattering rate; ..cap alpha../sub cr/ is the value of ..cap alpha.. for which T becomes zero.)

• Research Organization: Guelph-Waterloo Program for Graduate Work in Physics, Department of Physics, University of Waterloo, Waterloo, Ontario, Canada N2L3G1
• OSTI ID: 6403343
• Journal Information: Phys. Rev. B: Condens. Matter; (United States), Journal Name: Phys. Rev. B: Condens. Matter; (United States) Vol. 30:5; ISSN PRBMD
• Country of Publication: United States
• Language: English

Related Subjects

656101* -- Solid State Physics-- Superconductivity-- General Theory-- (-1987)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ANALYTICAL SOLUTION
DATA
ELECTRON-PHONON COUPLING
FUNCTIONS
GORKOV-ELIASHBERG THEORY
GREEN FUNCTION
IMPURITIES
INFORMATION
MATHEMATICAL MODELS
NUMERICAL DATA
PARTICLE MODELS
PHYSICAL PROPERTIES
SPECIFIC HEAT
STRONG-COUPLING MODEL
SUPERCONDUCTORS
THEORETICAL DATA
THERMODYNAMIC PROPERTIES
TRANSITION TEMPERATURE