Frustrations and Ordering in Magnetic Systems of Various Dimensions
- Authors: Kassan-Ogly F.A.1, Proshkin A.I.1,2
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Affiliations:
- Mikheev Institute of Metal Physics, Ural Branch
- Ural Federal University
- Issue: Vol 60, No 6 (2018)
- Pages: 1090-1097
- Section: Magnetism
- URL: https://ogarev-online.ru/1063-7834/article/view/203061
- DOI: https://doi.org/10.1134/S1063783418060136
- ID: 203061
Cite item
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.
About the authors
F. A. Kassan-Ogly
Mikheev Institute of Metal Physics, Ural Branch
Email: proshkin_ai@imp.uran.ru
Russian Federation, Yekaterinburg, 620108
A. I. Proshkin
Mikheev Institute of Metal Physics, Ural Branch; Ural Federal University
Author for correspondence.
Email: proshkin_ai@imp.uran.ru
Russian Federation, Yekaterinburg, 620108; Yekaterinburg, 620075
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