Thermodynamics of the classical spin-ice model with nearest neighbour interactions using the Wang-Landau algorithm
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In this article we study the classical nearest-neighbour spin-ice model (nnSI) by means of Monte Carlo simulations, using the Wang-Landau algorithm. The nnSI describes several of the salient features of the spin-ice materials. Despite its simplicity it exhibits a remarkably rich behaviour. The model has been studied using a variety of techniques, thus it serves as an ideal benchmark to test the capabilities of the Wang Landau algorithm in magnetically frustrated systems. We study in detail the residual entropy of the nnSI and, by introducing an applied magnetic field in two different crystallographic directions ( and ), we explore the physics of the kagome-ice phase, the transition to full polarisation, and the three dimensional Kasteleyn transition. In the latter case, we discuss how additional constraints can be added to the Hamiltonian, by taking into account a selective choice of states in the partition function and, then, show how this choice leads to the realization of the ideal Kasteleyn transition in the system.
KeywordsSolid State and Materials
- 3.C. Lacroix, P. Mendels, F. Mila, in Introduction to Frustrated Magnetism: Materials, Experiments, Theory (Springer Science & Business Media, 2011), Vol. 164 Google Scholar
- 17.S. Bramwell, M. Gingras, P. Holdsworth, H. Diep, in Frustrated Spin Systems, edited by HT Diep (World Scientific, 2004) Google Scholar
- 24.V.F. Petrenko, R.W. Whitworth, Physics of Ice (Oxford University Press, 1999) Google Scholar
- 37.J.F. Nagle, C.S. Yokoi, S.M. Bhattacharjee, Phase Transitions 13, 236 (1989) Google Scholar
- 39.L.D. Jaubert, Topological Constraints and Defects in Spin Ice, Ph.D. Thesis, ENS Lyon, 2009 Google Scholar
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