切分晶格上三态 Potts 反铁磁体的相变
统计力学
2009-04-20 v3 高能物理 - 格点
数学物理
math.MP
摘要
我们证明了切分晶格（kagome 晶格的对偶晶格）上的三态 Potts 反铁磁体在低温（包括零温）下具有由熵驱动的长程有序。随后，我们利用团簇算法对三态和四态模型进行了蒙特卡洛模拟。三态模型在 v = e^J - 1 = -0.860599 +- 0.000004 处发生相变进入高温无序相，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（包括零温）均处于无序状态。
引用
@article{arxiv.0802.2270,
title = {Phase transition in the 3-state Potts antiferromagnet on the diced lattice},
author = {Roman Kotecky and Jesus Salas and Alan D. Sokal},
journal= {arXiv preprint arXiv:0802.2270},
year = {2009}
}
备注
4 pages, LaTeX2e/revtex4, includes 4 figures. Version 3 (published in PRL) contains several small improvements in response to referees' comments