Song Chaoming
Department of Physics, University of Miami, Coral Gables, FL 33146, USA.
Entropy (Basel). 2024 Jul 27;26(8):636. doi: 10.3390/e26080636.
We present a new combinatorial approach to the Ising model incorporating arbitrary bond weights on planar graphs. In contrast to existing methodologies, the exact free energy is expressed as the determinant of a set of ordered and disordered operators defined on a planar graph and the corresponding dual graph, respectively, thereby explicitly demonstrating the Kramers-Wannier duality. The implications of our derived formula for the Random-Bond Ising Model are further elucidated.
我们提出了一种新的组合方法来处理平面图形上具有任意键权重的伊辛模型。与现有方法不同，精确自由能分别表示为在平面图和相应对偶图上定义的一组有序和无序算符的行列式，从而明确展示了克拉默斯 - 万尼尔对偶性。我们推导公式对随机键伊辛模型的影响得到了进一步阐明。
