Physics of the Solid State
Volumes and Issues
Construction of an approximate solution for a dilute magnet based on the solution for a pure magnet on the same lattice
Semkin S. V.1, Smagin V. P. 1
1Vladivostok State University of Economics and Service, Vladivostok, Russia

The paper proposes a method for approximate calculation of the magnetization of a dilute Ising magnet on a certain lattice, based on the use of an exact or approximate solution for a pure Ising magnet on the same lattice. Using the proposed method, it is possible to calculate the dependence of magnetization on temperature and concentration of non-magnetic impurities and the Curie temperature as a function of concentration for a diluted magnet. The proposed method is applied in the work to the solution in the mean field approximation, to the solution in the beta approximation, and to the exact solution on a square lattice. Keywords: phase transitions, Ising model, dilute magnet.
  1. Yu.A. Izyumov, M.V. Medvedev. Teoriya magnitouporyadochennykh kristallov s primesyami. Nauka, M. (1970). 271 p. (in Russian)
  2. B.N. Shalayev. FTT 52, 83 (2010) (in Russian)
  3. D.N. Yasinskaya, V.A. Ulitko, Yu.D. Panov. FTT 62, 1543 (2020) (in Russian)
  4. Vik.S. Dotsenko. UFN 165, 5, 481 (1995) (in Russian)
  5. A.K. Murtazayeva, A.B. Babayev. ZhETF 161, 847 (2022) (in Russian)
  6. S.V. Syomkin, V.P. Smagin, E.G. Gusev. TMF 201, 2, 278 (2019) (in Russian)
  7. S.V. Syomkin, V.P. Smagin, V.I. Lyulko. FTT 62, 1209 (2020) (in Russian)
  8. S.V. Syomkin, V.P. Smagin. FTT 56, 1064 (2014) (in Russian)
  9. S.V. Syomkin, V.P. Smagin. ZhETF 148, 729 (2015) (in Russian)
  10. R.J. Baxter. Exactly solved models in statistical mechanics. Academic Press, N. Y. (1982)
  11. I.A. Kvasnikov. Termodinamika i statisticheskaya fizika. Editorial URSS, M. (2002). 432 p. (in Russian)
  12. J. Ziman, Modeli besporyadka: Teoreticheskaya fizika odnorodno neuporyadochennykh sistem. Mir, M. (1982). 591 p. (in Russian)

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