An interpretation of the Bethe approximation based on the method of averaging over local exchange fields taking into account the correlation of neighboring spins is proposed. Based on this interpretation, an approximate method of analysis of Ising magnetics with nonmagnetic dilution is constructed. In the approximation considered, percolation thresholds and dependences of the Curie temperature on the concentration of magnetic atoms for lattices with different coordination numbers are calculated.
Similar content being viewed by others
References
S. V. Semkin, V. P. Smagin, Russ. Phys. J., 60, Issue 10, 1803–1810 (2017).
J. M. Ziman, Models of Disorder: The Theoretical Physics of Homogeneously Disordered Systems, Cambridge University Press (1979).
R. J. Baxter, Exactly Solved Models in Statistical Mechanics (1985).
V. I. Belokon, S. V. Semkin, JETP [in Russian], 102, Issue 4(10), 1254–1258 (1992).
H. B. Callen, Phys. Lett., 4, 161–175 (1963).
Author information
Authors and Affiliations
Corresponding author
Additional information
Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 1, pp. 153–158, January, 2019.
Rights and permissions
About this article
Cite this article
Semkin, S.V., Smagin, V.P. Bethe Approximation for Pure and Diluted Magnets as Averaging over Local Exchange Fields. Russ Phys J 62, 172–178 (2019). https://doi.org/10.1007/s11182-019-01698-9
Received:
Revised:
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11182-019-01698-9