Kagome antiferromagnet with the multisite interaction in the external magnetic field: Exact results within higher recursive-lattice approximation

E. Jurčišinová and M. Jurčišin

Physica A: Statistical Mechanics and its Applications, 2025, vol. 659, issue C

Abstract: The so-called 3-star kagome-like recursive-lattice approximation is introduced that significantly more accurately approximates the basic geometric structure of the real two-dimensional kagome lattice. The exact solution of the antiferromagnetic Ising model in the external magnetic field and with the presence of the three-site interaction within each elementary triangle of the introduced recursive lattice is found. The free energy of the model is derived and the system of all ground states is determined. The exact expressions for the residual entropies and magnetization values of all ground states of the model are derived. The magnetic and thermodynamic properties of the model are discussed in detail and are compared to those obtained in the framework of the lower recursive-lattice approximations of the model as well as to the existing exact results on the real kagome lattice. The performed analysis, on the one hand, confirms the validity of two early stated hypotheses about the behavior of residual entropies and magnetization properties of all ground states of frustrated magnetic systems on the recursive lattices and, on the other hand, allows one to make also nontrivial conclusions about the fundamental properties of the model on the real kagome lattice although the corresponding exact solutions are still not available. Last but not least, the performed analysis once again confirms the effectiveness of the recursive-lattice technique for the analysis of frustrated magnetic systems.

Keywords: Antiferromagnetic systems; Geometric frustration; Kagome-like recursive lattices; Ground states; Residual entropies; Exact solutions (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437124008367
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:659:y:2025:i:c:s0378437124008367

DOI: 10.1016/j.physa.2024.130326

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().