Correlated cluster mean-field theory for Ising-like spin systems

Schmidt, M.; Dias, P.F.

Correlated cluster mean-field theory for Ising-like spin systems

M. Schmidt and P.F. Dias

Physica A: Statistical Mechanics and its Applications, 2021, vol. 573, issue C

Abstract: The correlated cluster mean-field (CCMF) theory is an approximative method that have been applied to the study of spin-1∕2 Hamiltonians, providing accurate results for several magnetic systems. In this paper, we review the method applications and extend its framework to the study of Ising-like systems with spin S>1∕2. Our investigation of the spin-1 ferromagnet on honeycomb, square and simple cubic lattices showed that the CCMF method results can be compared to state-of-the-art methods. We also present the method application for higher spin (3∕2≤S≤5∕2) and mixed-spin systems on the honeycomb lattice, comparing our findings with other techniques. As a result, the reduced critical temperature obtained within the CCMF theory overestimates by only 5% the exact result for the mixed spin-(1,1∕2) system.

Keywords: Mean field; Critical temperature; Correlations (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:573:y:2021:i:c:s0378437121001564

DOI: 10.1016/j.physa.2021.125884

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