Fluctuation conductivity above the superconducting transition: Regularization of the Maki-Thompson term

Journal Article · Mon Jun 01 04:00:00 EDT 1992 · Physical Review, B: Condensed Matter; (United States)

DOI:https://doi.org/10.1103/PhysRevB.45.12949· OSTI ID:7034416

Reizer, M Y ^[1]

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1. Department of Physics, The Ohio State University, Columbus, Ohio 43210-1106 (United States)

The Maki-Thompson (MT) fluctuation correction to the conductivity in impure electron systems close to the superconducting transition temperature {ital T}{sub {ital c}} is reconsidered. It is shown that the results of earlier works concerning the case when the pair breaking is due to the electron-electron interaction in the Cooper channel are incorrect. The essential point of our calculations is that the electron phase-relaxation rate due to the electron-electron interaction in the Cooper channel is a singular function of the electron frequency. This singularity, which was missed in earlier works, indicates strongly interacting fluctuations near the transition temperature. According to our results the MT correction close to the transition temperature is less singular than the Aslamazov-Larkin (AL) correction. A little farther from the transition both corrections are the same order, e.g., close to transition in the two-dimensional case, the MT correction is proportional to ln{alpha}, where {alpha}=({ital T}{minus}{ital T}{sub {ital c}})/{ital T}{sub {ital c}}, while the AL correction is proportional to {alpha}{sup {minus}1}. We also consider the magnetoconductivity close to the transition temperature in the two-dimensional case.

• DOE Contract Number: FG02-88ER45347
• OSTI ID: 7034416
• Journal Information: Physical Review, B: Condensed Matter; (United States), Journal Name: Physical Review, B: Condensed Matter; (United States) Vol. 45:22; ISSN PRBMD; ISSN 0163-1829
• Country of Publication: United States
• Language: English

Related Subjects

665411* -- Basic Superconductivity Studies-- (1992-)
75 CONDENSED MATTER PHYSICS
SUPERCONDUCTIVITY AND SUPERFLUIDITY
ELECTRIC CONDUCTIVITY
ELECTRICAL PROPERTIES
ELECTRON-ELECTRON INTERACTIONS
FLUCTUATIONS
INTERACTIONS
LEPTON-LEPTON INTERACTIONS
PARTICLE INTERACTIONS
PHYSICAL PROPERTIES
RELAXATION
SUPERCONDUCTORS
TEMPERATURE DEPENDENCE
VARIATIONS