Abstract
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.
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Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 183, No. 3, pp. 486–497, June, 2015.
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Melnikov, N.B., Paradezhenko, G.V. Magnetic phase transitions in spin-fluctuation theory. Theor Math Phys 183, 868–877 (2015). https://doi.org/10.1007/s11232-015-0303-1
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DOI: https://doi.org/10.1007/s11232-015-0303-1