对这类模型,我们得到了Fisher零点的位置和yT = 1/ν的估计
The location of the Fisher zeros and estimates of yT = 1/ν are found for the Baxter-Wu model
摘要:
结果表明,Fisher零点的位置的Wu-Wu模型,两个系列的有限大小的集群,与球形边界条件,是非常简单的。它们位于复Sinh[2 \b{eta} J3]平面的单位圆上。这与具有最近邻相互作用J2的伊辛模型在正方形晶格上具有Brascamp-Kunz边界条件的Fisher零点的位置相同。Wu模型是一个在三角晶格上具有三个相互作用J3的伊辛模型。从前导Fisher零点出发,利用有限尺寸标度,得到了临界指数1/ν的精确估计.此外,使用前导零的虚部与前导零的实部导致不同的结果类似于Janke和Kenna的最近邻的结果,伊辛模型在正方形格子上,并将这种行为扩展到多位点相互作用系统。
英文摘要:
It is shown that the location of the Fisher zeros of the Baxter-Wu model, for two series of finite sized clusters, with spherical boundary conditions, is extremely simple. They lie on the unit circle in the complex Sinh[2\b{eta}J3] plane. This is the same location as the Fisher zeros of the Ising model with nearest neighbor interactions, J2, on the square lattice have, with Brascamp-Kunz boundary conditions. The Baxter-Wu model is an Ising model with three site interactions, J3, on the triangle lattice. From the leading Fisher zeros, using finite size scaling, accurate estimates of the critical exponent 1/ν are obtained. Furthermore, using the imaginary parts of the leading zeros versus the real part of the leading zeros leads to different results similar the results of Janke and Kenna for the nearest neighbor, Ising model on the square lattice and extending this behavior to a multi-site interaction system.
机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。