Grousson M, Tarjus G, Viot P
Laboratoire de Physique Théorique des Liquides, Université Pierre et Marie Curie, 4 Place Jussieu, 75252 Paris Cedex 05, France.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Sep;64(3 Pt 2):036109. doi: 10.1103/PhysRevE.64.036109. Epub 2001 Aug 20.
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 paramagnetic phase is driven first order by the fluctuations. Transitions between ordered phases with different modulation patterns are observed in some regions of the diagram, in agreement with a recent mean-field analysis.
我们通过蒙特卡罗模拟研究了具有最近邻铁磁相互作用以及小但长程（库仑）反铁磁相互作用的三维伊辛模型的相图。我们开发了一种高效的团簇算法，并使用了不同的晶格尺寸和几何形状，这使我们能够获得温度-失配相图的主要特征。我们的有限尺寸标度分析证实，层状相到顺磁相的熔化是由涨落驱动的一级相变。在相图的某些区域观察到具有不同调制模式的有序相之间的转变，这与最近的平均场分析一致。
