Frustrations on decorated triangular lattice in Ising model

F.A. Kassan-Ogly and A.V. Zarubin

Physica A: Statistical Mechanics and its Applications, 2023, vol. 627, issue C

Abstract: We study the frustration properties of the Ising model on a decorated triangular lattice with an arbitrary number of decorating spins on all lattice bonds in the framework of an exact analytical approach based on the Kramers–Wannier transfer matrix method. Expressions for the entropy, heat capacity, and spontaneous magnetization of the lattice are obtained, including the residual (zero-temperature) entropy and residual (zero-temperature) spontaneous magnetization of the system. The existence of magnetic frustrations in such a model and their influence on the behavior of the thermodynamic functions of the system are shown. The new and most important result of our study is related to the description of the possible coexistence of frustrations and long-range magnetic order in partially ordered spin systems.

Keywords: Ising model; Decorated triangular lattice; Magnetic frustration; Residual entropy; Spontaneous magnetization; Partial magnetic ordering (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:627:y:2023:i:c:s037843712300691x

DOI: 10.1016/j.physa.2023.129136

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