Exact results of an Ising model with three- and five-spin interactions on a square lattice

Silvia Lacková and Tsuyoshi Horiguchi

Physica A: Statistical Mechanics and its Applications, 2003, vol. 319, issue C, 311-318

Abstract: We investigate an Ising model with three-spin interactions and five-spin interactions on a square lattice. We use exact mapping relations among interaction parameters and the temperature. We found that the system is equivalent to the eight-vertex model in some cases. For the system with an imaginary interaction parameter, the system is reduced to the exactly solvable Ising model with nearest-neighbor two-spin interactions and some non-nearest-neighbor two-spin interactions, the so-called Vaks–Larkin–Ovchinnikov model.

Keywords: Ising model; Multi-spin interactions; Exact solution; Eight-vertex model (search for similar items in EconPapers)
Date: 2003
References: View complete reference list from CitEc
Citations:

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0378437102015224
Full text for ScienceDirect subscribers only. Journal offers the option of making the article available online on Science direct for a fee of $3,000

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:319:y:2003:i:c:p:311-318

DOI: 10.1016/S0378-4371(02)01522-4

Access Statistics for this article

Physica A: Statistical Mechanics and its Applications is currently edited by K. A. Dawson, J. O. Indekeu, H.E. Stanley and C. Tsallis

More articles in Physica A: Statistical Mechanics and its Applications from Elsevier
Bibliographic data for series maintained by Catherine Liu ().