Geodesic
Magnetic phase transitions in spin-fluctuation theory
Teoretičeskaâ i matematičeskaâ fizika, Tome 183 (2015) no. 3, pp. 486-497

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A first-order phase transition is a characteristic feature of the Gaussian approximation in spin-fluctuation theory. We propose a method for taking the fourth-order terms of the free energy expansion into account using partial averaging. In the example of the Ising model, we show that renormalization of the magnetic susceptibility leads to a second-order phase transition, which is experimentally observed in metals. We use the parameter substitution method to compute the temperature dependence at high temperatures.
Keywords: functional integral method, Stratonovich–Hubbard transformation, partial averaging, renormalization. 
@article{TMF_2015_183_3_a10,
     author = {N. B. Melnikov and G. V. Paradezhenko},
     title = {Magnetic phase transitions in spin-fluctuation theory},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {486--497},
     publisher = {mathdoc},
     volume = {183},
     number = {3},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2015_183_3_a10/}
}
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N. B. Melnikov; G. V. Paradezhenko. Magnetic phase transitions in spin-fluctuation theory. Teoretičeskaâ i matematičeskaâ fizika, Tome 183 (2015) no. 3, pp. 486-497. http://geodesic.mathdoc.fr/item/TMF_2015_183_3_a10/