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

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

2001-04-19

arxiv.org/abs/cond-mat/0104364v2

Phys.Rev.E64:036109,2001

Physics

Condensed Matter

Statistical Mechanics

14 pages, 10 figures, submitted to Phys. Rev. E

Scientific paper

10.1103/PhysRevE.64.036109

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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