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Title: Spatial dispersion of spin susceptibility of conduction electrons in a superconductor

Abstract

The method of temperature Green's functions is used to investigate the spatial dispersion of the spin susceptibility of the conduction electrons in pure and ''dirty'' (i.e., containing magnetic and nonmagnetic impurities) superconductors. The Hamiltonian of the indirect exchange interaction of the localized moments is also obtained. It is shown that in a pure superconductor the susceptibility and the indirect-exchange Hamiltonian have an additional nonoscillating and longer-range term that is exponentially cut off at a distance on the order of the coherence length xi/sub 0/. For a dirty superconductor, the Fourier transform chi (q) of the susceptibility is obtained for an arbitrary wave vector q. In the p/sub 0/r>>1 approximation, a transition is effected to the coordinate space. It is shown that the effective radius of the indirect exchange interaction potential, which is equal to the mean free path l/sub p/ in a normal metal, increases abruptly on going into the superconducting state, to a new coherence length xiapprox. = (xi/sub 0/l/sub p/)/sup 1/2/>>l/sub p/.

Authors:
; ;
Publication Date:
Research Org.:
Kazan' State University
OSTI Identifier:
5893098
Alternate Identifier(s):
OSTI ID: 5893098
Resource Type:
Journal Article
Journal Name:
Sov. Phys. - JETP (Engl. Transl.); (United States)
Additional Journal Information:
Journal Volume: 49:2
Country of Publication:
United States
Language:
English
Subject:
75 CONDENSED MATTER PHYSICS, SUPERCONDUCTIVITY AND SUPERFLUIDITY; SUPERCONDUCTORS; MAGNETIC SUSCEPTIBILITY; EXCHANGE INTERACTIONS; GREEN FUNCTION; HAMILTONIANS; FUNCTIONS; INTERACTIONS; MAGNETIC PROPERTIES; MATHEMATICAL OPERATORS; PHYSICAL PROPERTIES; QUANTUM OPERATORS 656101* -- Solid State Physics-- Superconductivity-- General Theory-- (-1987)

Citation Formats

Kochelaev, B.I., Tagirov, L.R., and Khusainov, M.G. Spatial dispersion of spin susceptibility of conduction electrons in a superconductor. United States: N. p., 1979. Web.
Kochelaev, B.I., Tagirov, L.R., & Khusainov, M.G. Spatial dispersion of spin susceptibility of conduction electrons in a superconductor. United States.
Kochelaev, B.I., Tagirov, L.R., and Khusainov, M.G. Thu . "Spatial dispersion of spin susceptibility of conduction electrons in a superconductor". United States.
@article{osti_5893098,
title = {Spatial dispersion of spin susceptibility of conduction electrons in a superconductor},
author = {Kochelaev, B.I. and Tagirov, L.R. and Khusainov, M.G.},
abstractNote = {The method of temperature Green's functions is used to investigate the spatial dispersion of the spin susceptibility of the conduction electrons in pure and ''dirty'' (i.e., containing magnetic and nonmagnetic impurities) superconductors. The Hamiltonian of the indirect exchange interaction of the localized moments is also obtained. It is shown that in a pure superconductor the susceptibility and the indirect-exchange Hamiltonian have an additional nonoscillating and longer-range term that is exponentially cut off at a distance on the order of the coherence length xi/sub 0/. For a dirty superconductor, the Fourier transform chi (q) of the susceptibility is obtained for an arbitrary wave vector q. In the p/sub 0/r>>1 approximation, a transition is effected to the coordinate space. It is shown that the effective radius of the indirect exchange interaction potential, which is equal to the mean free path l/sub p/ in a normal metal, increases abruptly on going into the superconducting state, to a new coherence length xiapprox. = (xi/sub 0/l/sub p/)/sup 1/2/>>l/sub p/.},
doi = {},
journal = {Sov. Phys. - JETP (Engl. Transl.); (United States)},
number = ,
volume = 49:2,
place = {United States},
year = {1979},
month = {2}
}