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Physics of Metals and Metallography
Published in: Physics of Metals and Metallography 13/2019

01-12-2019

Ising Model on Planar Decorated Lattices. Frustrations and Their Influence on Phase Transitions

Authors: F. A. Kassan-Ogly, A. I. Proshkin

Published in: Physics of Metals and Metallography | Issue 13/2019

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Abstract

We discuss in the present work the thermodynamic properties of Ising model on several decorated two-dimensional lattices: square, triangular, honeycomb, and kagome. When compared with undecorated lattices the decorated ones show a plethora of new remarkable properties. Among them, a rich variety of frustration effects, the suppression and restoration or creation of phase transitions, multiple phase transitions, partial orderings, several kinds of heat capacity splitting, etc. Possible arbitrary number of decorating spins in a lattice unit cell conditions the richness of phenomena.
previous article Effects of Nonstoichiometry and Plastic Deformation on Charge and Spin States of Cobalt Ions in LnBaCo2BaO5.5 – δ (Ln = Tb, Eu): Soft X-ray Absorption Spectroscopy Studies
next article Frustration and Phase Transitions in Ising Model on Decorated Square Lattice

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Literature
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M. Jaščur, V. Štubna, K. Szalowski, and T. Balcerzak, “Frustration in an exactly solvable mixed-spin Ising model with bilinear and three-site four-spin interactions on a decorated square lattice,” J. Magn. Magn. Mater. 417, 92–99 (2016.) CrossRef
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Kassan-Ogly, B. N. Filippov, A. K. Murtazaev, M. K. Ramazanov, and M. K. Badiev, “Influence of field on frustrations in low-dimensional magnets,” J. Magn. Magn. Mater. 324, 3418–3421 (2012).CrossRef
Metadata
Title
Ising Model on Planar Decorated Lattices. Frustrations and Their Influence on Phase Transitions
Authors
F. A. Kassan-Ogly
A. I. Proshkin
Publication date
01-12-2019
Publisher
Pleiades Publishing
Published in
Physics of Metals and Metallography / Issue 13/2019
Print ISSN: 0031-918X
Electronic ISSN: 1555-6190
DOI
https://doi.org/10.1134/S0031918X19130106

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