Geodesic
Interaction of~a~conduction electron with critical fluctuations of~the spin density in~the $s$-$d$~exchange model of~a~magnetic semiconductor. Estimate of~the free energy and static conductivity
Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 2, pp. 261-272

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Estimates of the free energy of conductivity electrons coupling with $T\gtrsim T_c$ critical spin density fluctuations are obtained by means of Feynman path integral technique and corresponding variational principle. Condition is found under which the fluctuations may be treated as gaussian ones; the opposite case of the Kac model for spin subsystem is also considered. The relations between the quantum-statistical approach proposed and the phenomenological theory [1, 13] is briefly discussed. In the gaussian case the expression for the static critical conductivity is obtained which is calculated in the considered regions of values of model parameters. 
@article{TMF_1980_43_2_a8,
     author = {M. I. Auslender and M. I. Katsnel'son},
     title = {Interaction of~a~conduction electron with critical fluctuations of~the spin density in~the $s$-$d$~exchange model of~a~magnetic semiconductor. {Estimate} of~the free energy and static conductivity},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {261--272},
     publisher = {mathdoc},
     volume = {43},
     number = {2},
     year = {1980},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_1980_43_2_a8/}
}
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M. I. Auslender; M. I. Katsnel'son. Interaction of~a~conduction electron with critical fluctuations of~the spin density in~the $s$-$d$~exchange model of~a~magnetic semiconductor. Estimate of~the free energy and static conductivity. Teoretičeskaâ i matematičeskaâ fizika, Tome 43 (1980) no. 2, pp. 261-272. http://geodesic.mathdoc.fr/item/TMF_1980_43_2_a8/