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Andre, G., Bidaux, R., Carton, J.-P., Conte, R. and de Seze, L. (1979) Frustration in Periodic Systems: Exact Results for Some 2D Ising Models. Journal de Physique, 40, 479-488.
https://doi.org/10.1051/jphys:01979004005047900

has been cited by the following article:

• TITLE: Critical Properties of the Two-Dimensional Villain Model with Ferromagnetic Impurities

  AUTHORS: Md. Yeakub Ali

  KEYWORDS: Villain, Entropy, Critical Point, Square Lattice

  JOURNAL NAME: World Journal of Mechanics, Vol.7 No.6, June 2, 2017

  ABSTRACT: This work investigates the square lattice in the presence of an-ti-ferromagnetic exchange considering the two-dimensional Ising Villain model. A computational scheme is constructed to evaluate the degeneracy of ground states at zero temperature employing the Pfaffian method through perturbation theory. The entropy and canonical spin glass of the considered model are precisely obtained. The critical point between the Villain phase and canonical spin glass phase with the line fit of entropy at the thermodynamic limit is investigated. It is also shown that the transition point of the Villain model lies in the low concentration regime.