二维三角晶格上Gauss自旋模型的临界温度

Critical Temperature of the Gaussian Model on a Triangular Lattice

利用傅立叶变换的方法,精确求解了二维三角晶格上的Gauss自旋模型,得到了系统的临界点(温度).结果表明:与简单二维和三维晶格上的结果相比较,此晶格的临界点除了与空间维数有关外,还与晶格格点的配位数有关.

Using the Fourier transformation method, the Gaussian Model on a two-dimensional triangular lattice is studied exactly. The critical point (temperature) of the system is obtained. The result shows that, comparing with the result of simple two and three-dimensional lattices, the critical point of the system depends not only on the spatial dimension but also on the coordination number of the sites of the lattice.