# 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}

}