This article is cited in 23 papers

International conference ''Phase transitions, critical and nonlinear phenomena in condensed matter'', Makhachkala, September 6-9, 2017
Magnetism

Frustrations and ordering in magnetic systems of various dimensions

F. A. Kassan-Ogly^a, A. I. Proshkin<sup>ab

a</sup> Institute of Metal Physics, Ural Division of the Russian Academy of Sciences, Ekaterinburg
^b Ural Federal University named after the First President of Russia B. N. Yeltsin, Ekaterinburg

Abstract: Based on the exact and numerical calculations within the Ising and Potts models on lattices of various types and dimensions (one-dimensional, square, triangular, hexagonal, kagome, simple cubic, and body-centered cubic), magnetic orderings, phase transitions, and frustrations were investigated, taking into account the exchange interactions between magnetic moments at the nearest and next-nearest nodes and an external magnetic field. The causes of the occurrence of frustrations are found, and the essential features of the behavior of frustrated systems that distinguish them from the nonfrustrated systems are determined.

DOI: 10.21883/FTT.2018.06.45980.04M

 English version: Physics of the Solid State, 2018, 60:6, 1090–1097

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