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The simple quadratic Ising model with crossing bonds

Author

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  • Blöte, H.W.J.
  • Compagner, A.
  • Hoogland, A.

Abstract

We investigate the ferromagnetic critical line of the simple quadratic Ising model with nearest-neighbour and next-nearest-neighbour interactions, by means of Monte Carlo, renormalisation group and analytic methods. A comparison of the Monte Carlo results with the renormalisation group trajectories yields the asymptotic behaviour of the critical line in the strong-coupling limit. A number of figures of spin configurations is included to illustrate the physical behaviour of the model.

Suggested Citation

  • Blöte, H.W.J. & Compagner, A. & Hoogland, A., 1987. "The simple quadratic Ising model with crossing bonds," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 141(2), pages 375-402.
  • Handle: RePEc:eee:phsmap:v:141:y:1987:i:2:p:375-402
    DOI: 10.1016/0378-4371(87)90172-5
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    1. Blöte, H.W.J. & Compagner, A. & Cornelissen, P.A.M. & Hoogland, A. & Mallezie, F. & Vanderzande, C., 1986. "Critical behaviour of two Ising models with multispin interactions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 139(2), pages 395-411.
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