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Magnetocaloric Effect in Two-Dimensional Diluted Ising Model: Appearance of Frustrations in the Ground State

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Abstract

The magnetocaloric effect in a two-dimensional Ising model is considered for different ratios between parameters of inter-site repulsion of nonmagnetic impurities and exchange coupling. Classical Monte Carlo simulations on a square lattice show that in case of weak coupling and at sufficiently high concentrations of nonmagnetic impurities the long-range ferromagnetic ordering breaks down to give isolated spin clusters in the ground state of the system. This leads to appearance of a paramagnetic response in the system at the zero temperature and nonzero entropy of the ground state. The feasibility to detect frustration of ground state using data on the magnetic entropy variation is discussed.

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REFERENCES

  1. M. E. Zhitomirsky, Phys. Rev. B 67, 104421 (2003).

    Article  ADS  Google Scholar 

  2. M. E. Zhitomirsky and A. Honecker, J. Stat. Mech.: Theory Exp. 2004, P07012 (2004).

  3. A. Honecker and S. Wessel, Phys. B (Amsterdam, Neth.) 378380, 1098 (2006).

  4. B. Schmidt, P. Thalmeier, and N. Shannon, Phys. Rev. B 76, 125113 (2007).

    Article  ADS  Google Scholar 

  5. J. S. Amaral, J. N. Goncalves, and V. S. Amaral, IEEE Trans. Magn. 50, 1 (2014).

    Article  Google Scholar 

  6. M. Zukovic, J. Magn. Magn. Mater. 374, 22 (2015).

    Article  ADS  Google Scholar 

  7. S. Katsura and B. Tsujiyama, Ferro- and Antiferromagnetism of Dilute Ising Model, Proceedings of the Conference on Phenomena in the Neighborhood of Critical Points Ed. by C. Domb (Natl. Bureau of Standards, Washington, DC, 1965), p. 219.

  8. M. Blume, V. J. Emery, and R. B. Griffiths, Phys. Rev. A 4, 1071 (1971).

    Article  ADS  Google Scholar 

  9. A. S. Moskvin, J. Phys.: Condens. Matter 25, 085601 (2013).

    ADS  Google Scholar 

  10. B. G. Shen, J. R. Sun, F. X. Hu, H. W. Zhang, and Z. H. Cheng, Adv. Mater. 21, 4545 (2009).

    Article  Google Scholar 

  11. A. A. Inishev, E. G. Gerasimov, N. V. Mushnikov, P. B. Terent’ev, and V. S. Gaviko, Phys. Met. Metallogr. 119, 1036 (2018).

    Article  ADS  Google Scholar 

  12. H. Zhang, R. Gimaev, B. Kovalev, K. Kamilov, V. Zverev, and A. Tishin, Phys. B (Amsterdam, Neth.) 558, 65 (2019).

  13. Y. D. Panov, A. S. Moskvin, A. A. Chikov, and I. L. Avvakumov, J. Low Temp. Phys. 185, 409 (2016).

    Article  ADS  Google Scholar 

  14. Y. D. Panov, A. S. Moskvin, A. A. Chikov, and I. L. Avvakumov, J. Supercond. Nov. Magn. 29, 1077 (2016).

    Article  Google Scholar 

  15. Y. D. Panov, K. S. Budrin, A. A. Chikov, and A. S. Moskvin, JETP Lett. 106, 440 (2017).

    Article  ADS  Google Scholar 

  16. Y. Panov, V. Ulitko, K. Budrin, A. Chikov, and A. Moskvin, J. Magn. Magn. Mater. 477, 162 (2019).

    Article  ADS  Google Scholar 

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Funding

The work was supported within the Competitiveness Enhancement Program of the Ural Federal University (Russian Federation Government Act 211, agreement no. 02.A03.21.0006), by the Ministry of Education and Science, Russian Federation (project FEUZ-2020-0054), and by the Russian Foundation for Basic Research (research project no. 18-32-00837/18).

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Correspondence to A. V. Shadrin.

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Translated by A. Kukharuk

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Shadrin, A.V., Ulitko, V.A. & Panov, Y.D. Magnetocaloric Effect in Two-Dimensional Diluted Ising Model: Appearance of Frustrations in the Ground State. Phys. Solid State 62, 1719–1724 (2020). https://doi.org/10.1134/S1063783420090267

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  • DOI: https://doi.org/10.1134/S1063783420090267

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