ISOTOPE EFFECT IN THE BARDEEN-COOPER-SCHRIEFFER AND BOGOLIUBOV THEORIES OF SUPER-CONDUCTIVITY

Journal Article · Thu Oct 01 04:00:00 EDT 1959 · Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D

DOI:https://doi.org/10.1103/PhysRev.116.45· OSTI ID:4220592

Swihart, J C

It is shown that the Bardeen-Cooper-Schrieffer and Bogoliubov theories of superconductivity predict an isotope effect which is the same for all superconductors, so long as the Coulomb interaction is neglected. This is demonstrated by writing the system of integral equations in a mass-invariant form, and it does not involve finding actual solutions. The theories predict that H/sub 0/, T/sub c/, and the energy gap at T = 0 are proportional to M/sup -1/ 2/. The inclusion of the Coulomb interaction destroys the invariance of the equations and introduces deviations from the -1/2 in the exponent. The magnitude of the deviation depnds on the particular superconductor considered. (auth)

• Research Organization: International Business Machines Corp., Poughkeepsie, N.Y.
• NSA Number: NSA-14-004658
• OSTI ID: 4220592
• Journal Information: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D, Journal Name: Physical Review (U.S.) Superseded in part by Phys. Rev. A, Phys. Rev. B: Solid State, Phys. Rev. C, and Phys. Rev. D Vol. Vol: 116; ISSN PHRVA
• Country of Publication: Country unknown/Code not available
• Language: English

Related Subjects

BCS THEORY
BOGOLIUBOV METHOD
DIFFERENTIAL EQUATIONS
EQUATIONS
INTEGRAL EQUATIONS
INTEGRALS
ISOTOPE EFFECTS
PHYSICS
SUPERCONDUCTIVITY