Amoruso C, Hartmann A K, Hastings M B, Moore M A
School of Physics and Astronomy, University of Manchester, Manchester M13 9PL, United Kingdom.
Phys Rev Lett. 2006 Dec 31;97(26):267202. doi: 10.1103/PhysRevLett.97.267202. Epub 2006 Dec 26.
We present numerical evidence that the techniques of conformal field theory might be applicable to two-dimensional Ising spin glasses with Gaussian bond distributions. It is shown that certain domain wall distributions in one geometry can be related to that in a second geometry by a conformal transformation. We also present direct evidence that the domain walls are stochastic Loewner (SLE) processes with kappa approximately 2.1. An argument is given that their fractal dimension d(f) is related to their interface energy exponent theta by d(f) - 1 = 3/[4(3 + theta)], which is consistent with the commonly quoted values d(f) approximately 1.27 and theta approximately -0.28.
我们给出了数值证据，表明共形场论技术可能适用于具有高斯键分布的二维伊辛自旋玻璃。结果表明，一种几何结构中的某些畴壁分布可以通过共形变换与第二种几何结构中的畴壁分布相关联。我们还给出了直接证据，表明畴壁是κ约为2.1的随机洛厄纳（SLE）过程。有人提出，它们的分形维数d(f)与界面能指数θ的关系为d(f) - 1 = 3/[4(3 + θ)]，这与通常引用的值d(f)约为1.27和θ约为 -0.28一致。
