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2014 | 126 | 1 | 48-49
Article title

Frustration in a Mixed-Spin Ising Model With Multi-Spin Interactions

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EN
Abstracts
EN
In this work we investigate a mixed spin-1/2 and spin-1 Ising model on a decorated square lattice. In addition to standard pair interactions between nearest neighbors, we also consider in our calculations three-site four-spin interactions and the effect of single ion anisotropy. Applying the well-known decoration-iteration transformation, we derive a simple relation between the partition function of the model under investigation and the Onsager's partition function for the simple square lattice. With the help of this mapping relation we are able to calculate exact expressions for all relevant physical quantities of the system (for example, the magnetization, internal energy, Gibbs free energy, entropy and specific heat). The most interesting results have been found in the model without pair interactions. In this case, besides the standard ordered and disordered phases, there also appears an interesting phase which is ordered only partially. Analyzing relevant physical quantities of the system, we have found that the partial ordering is closely related to very strong frustrations that lead to non-zero entropy at T=0.
Keywords
EN
Publisher

Year
Volume
126
Issue
1
Pages
48-49
Physical description
Dates
published
2014-07
Contributors
author
  • Institute of Physics, Faculty of Sciences, P.J. Šafárik University in Košice Park Angelinum 9, 041 54 Košice, Slovakia
author
  • Institute of Physics, Faculty of Sciences, P.J. Šafárik University in Košice Park Angelinum 9, 041 54 Košice, Slovakia
author
  • Department of Solid State Physics, University of Lódź, ul. Pomorska 149/153, 90-236 Łódź, Poland
author
  • Department of Solid State Physics, University of Lódź, ul. Pomorska 149/153, 90-236 Łódź, Poland
References
  • [1] T. Iwashita, N. Uryu, J. Phys. C 17, 855 (1984), doi: 10.1088/0022-3719/17/5/015
  • [2] J. Strečka, Phys. Lett. A 374, 3718 (2010), doi: 10.1016/j.physleta.2010.07.030
  • [3] S. Lacková, M. Jaščur, Phys. Rev. E 64, 036126 (2001), doi: 10.1103/PhysRevE.64.036126
Document Type
Publication order reference
Identifiers
YADDA identifier
bwmeta1.element.bwnjournal-article-appv126n1020kz
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