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A Monte Carlo study of the three-dimensional Coulomb frustrated Ising ferromagnet

M. Grousson·G. Tarjus·P. Viot
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Abstract

We have investigated by Monte-Carlo simulation the phase diagram of a three-dimensional Ising model with nearest-neighbor ferromagnetic interactions and small, but long-range (Coulombic) antiferromagnetic interactions. We have developed an efficient cluster algorithm and used different lattice sizes and geometries, which allows us to obtain the main characteristics of the temperature-frustration phase diagram. Our finite-size scaling analysis confirms that the melting of the lamellar phases into the paramgnetic phase is driven first-order by the fluctuations. Transitions between ordered phases with different modulation patterns is observed in some regions of the diagram, in agreement with a recent mean-field analysis.

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M. Grousson, G. Tarjus, P. Viot. 2001-05-30. A Monte Carlo study of the three-dimensional Coulomb frustrated Ising ferromagnet. https://doi.org/10.1103/physreve.64.036109

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