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Pis'ma v Zhurnal Èksperimental'noi i Teoreticheskoi Fiziki, 2019, Volume 110, Issue 10, Pages 700–705
DOI: https://doi.org/10.1134/S0370274X19220120 (Mi jetpl6054) 		 
This article is cited in 15 scientific papers (total in 15 papers)

CONDENSED MATTER

On the numerical calculation of frustrations in the Ising model

A. G. Makarovab, K. V. Makarovaab, Yu. A. Shevchenkoba, P. D. Andriushchenkoab, V. Yu. Kapitanab, K. S. Soldatovab, A. V. Perzhuba, A. E. Rybinab, D. Yu. Kapitanab, E. V. Vasil'evab, R. A. Volotovskiiab, Yu. V. Chubovb, K. V. Nefedevab

a Institute of Applied Mathematics, Far Eastern Branch, Russian Academy of Sciences, Vladivostok, 690041 Russia
b School of Natural Sciences, Far Eastern Federal University, Vladivostok, 690091 Russia
Full-text PDF (267 kB) Citations (15)
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DOI: https://doi.org/10.1134/S0370274X19220120
Abstract: A quantitative measure of magnetic frustration is defined as a thermodynamically averaged relative number of excited pair interactions in the Hamiltonian of a system. The Metropolis algorithm has been upgraded to a hybrid multispin Monte Carlo method using a quasi-Markov chain of random events. The combination of canonical and multicanonical sampling of the Gibbs distribution in one computational scheme has made it possible to determine the temperature dependences of the increment in the number of excitations and the entropy increment of the hexagonal lattice of artificial spin ice and to calculate the configuration of the ground state. The temperature behavior of the frustration parameter of a geometrically frustrated hexagonal lattice of point dipoles is obtained numerically using the developed method. This method for calculating the quantitative measure of frustrations can be used to process experimental data.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-00400-19-01
3.7383.2017/8.9
Russian Foundation for Basic Research 18-32-00713
18-32-00557
This work was supported by the Ministry of Science and Higher Education (state assignment nos. 075-00400-19-01 and 3.7383.2017/8.9). The implementation of the multispin hybrid method carried out by A. Makarov was supported by the Russian Foundation for Basic Research (project no. 18-32-00713). A part of the work carried out by P. Andriushchenko was supported by the Russian Foundation for Basic Research (project no. 18-32-00557).
Received: 22.09.2019
Revised: 16.10.2019
Accepted: 16.10.2019
English version:
Journal of Experimental and Theoretical Physics Letters, 2019, Volume 110, Issue 10, Pages 702–706
DOI: https://doi.org/10.1134/S0021364019220090
Bibliographic databases:
Document Type: Article
Language: Russian
Citation: A. G. Makarov, K. V. Makarova, Yu. A. Shevchenko, P. D. Andriushchenko, V. Yu. Kapitan, K. S. Soldatov, A. V. Perzhu, A. E. Rybin, D. Yu. Kapitan, E. V. Vasil'ev, R. A. Volotovskii, Yu. V. Chubov, K. V. Nefedev, “On the numerical calculation of frustrations in the Ising model”, Pis'ma v Zh. Èksper. Teoret. Fiz., 110:10 (2019), 700–705; JETP Letters, 110:10 (2019), 702–706
Citation in format AMSBIB
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    • This publication is cited in the following 15 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Письма в Журнал экспериментальной и теоретической физики Pis'ma v Zhurnal Иksperimental'noi i Teoreticheskoi Fiziki
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