Kotecký Roman, Salas Jesús, Sokal Alan D
Center for Theoretical Study, Charles University, Prague, Czech Republic.
Phys Rev Lett. 2008 Jul 18;101(3):030601. doi: 10.1103/PhysRevLett.101.030601. Epub 2008 Jul 17.
We prove that the 3-state Potts antiferromagnet on the diced lattice (dual of the kagome lattice) has entropically driven long-range order at low temperatures (including zero). We then present Monte Carlo simulations, using a cluster algorithm, of the 3-state and 4-state models. The 3-state model has a phase transition to the high-temperature disordered phase at v=e;{J}-1=-0.860 599+/-0.000 004 that appears to be in the universality class of the 3-state Potts ferromagnet. The 4-state model is disordered throughout the physical region, including at zero temperature.
我们证明，在切块晶格（蜂巢晶格的对偶晶格）上的三态Potts反铁磁体在低温（包括零温）下具有熵驱动的长程有序。然后，我们使用团簇算法对三态和四态模型进行了蒙特卡罗模拟。三态模型在v = e;{J}-1 = -0.860 599±0.000 004处有向高温无序相的相变，该相变似乎属于三态Potts铁磁体的普适类。四态模型在整个物理区域都是无序的，包括在零温时。
