Geodesic
Gauge theory of amorphous magnets
Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 1, pp. 58-65 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

A gauge theory of disordered magnets as a field theory in the principal fiber bundle with structure group $SL(3,R)$ is constructed. The gauge field interacting with a vector field (the magnetization) is responsible for the disorder. A complete system of equations, valid for arbitrary disordered magnets, is obtained. In the limiting case of a free gauge field the proposed approach leads to the well-known Volovik–Dzyaioshinskii theory, which describes isotropic spin glasses. In the other limiting case when the curvature is zero the results of Ignatchenko and Iskhakov for weakly disordered ferromagnets are reproduced. 
@article{TMF_1988_76_1_a4,
     author = {A. I. Nesterov and S. G. Ovchinnikov},
     title = {Gauge theory of amorphous magnets},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {58--65},
     year = {1988},
     volume = {76},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1988_76_1_a4/}
}
TY  - JOUR
AU  - A. I. Nesterov
AU  - S. G. Ovchinnikov
TI  - Gauge theory of amorphous magnets
JO  - Teoretičeskaâ i matematičeskaâ fizika
PY  - 1988
SP  - 58
EP  - 65
VL  - 76
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/TMF_1988_76_1_a4/
LA  - ru
ID  - TMF_1988_76_1_a4
ER  - 
%0 Journal Article
%A A. I. Nesterov
%A S. G. Ovchinnikov
%T Gauge theory of amorphous magnets
%J Teoretičeskaâ i matematičeskaâ fizika
%D 1988
%P 58-65
%V 76
%N 1
%U http://geodesic.mathdoc.fr/item/TMF_1988_76_1_a4/
%G ru
%F TMF_1988_76_1_a4
A. I. Nesterov; S. G. Ovchinnikov. Gauge theory of amorphous magnets. Teoretičeskaâ i matematičeskaâ fizika, Tome 76 (1988) no. 1, pp. 58-65. http://geodesic.mathdoc.fr/item/TMF_1988_76_1_a4/

[1] Volovik G. E., Dzyaloshinskii I. E., ZhETF, 75 (1978), 1102

[2] Volovik G. E., Dzyaloshinskii I. E., J. Phys., 39 (1978), 693 | DOI

[3] Fisher M. E., Phys. Stat. Sol., b116 (1983), 357 | DOI

[4] Kogut J. B., Rev. Mod. Phys., 51 (1979), 659 | DOI | MR

[5] Obukhov S. P., ZhETF, 83 (1982), 1978 | MR

[6] Rivier N., “Topological disorder in condensed matter”, Sol. State Sci., 46, 1984, 3

[7] Roshkov S. S., Phys. Lett., 106A (1984), 309 | DOI

[8] Madore J., J. Phys. Rep., 75 (1981), 125 | DOI | MR

[9] Dubrovin B. A., Novikov S. P., Fomenko A. T., Sovremennaya geometriya, Nauka, M., 1979 | MR

[10] Daniel M., Vialle S. M., UFN, 136 (1982), 378

[11] Ignatchenko V. A., Iskhakov R. S., ZhETF, 72 (1977), 1005; “Стохастическая магнитная структура и спиновые волны в аморфном ферромагнетике”, Физика магнитных материалов, Наука, Новосибирск, 1983, 3–31

[12] Menskii M. B., Gruppa putei: izmereniya, polya, chastitsy, Nauka, M., 1983 | MR

[13] Mack C., Fortschr. Phys., 29 (1981), 135 | DOI | MR

[14] Halperin B. I., Saslow W. M., Phys. Rev., B16 (1977), 2154 | DOI

[15] Andreev A. F., ZhETF, 74 (1978), 786