Oppermann R, Schmidt M J, Sherrington D
Institut für Theoretische Physik, Universität Würzburg, Am Hubland, 97074 Würzburg, Germany.
Phys Rev Lett. 2007 Mar 23;98(12):127201. doi: 10.1103/PhysRevLett.98.127201. Epub 2007 Mar 20.
Numerical results up to the 42nd order of replica-symmetry breaking (RSB) are used to predict the singular structure of the Sherrington-Kirkpatrick spin glass at T=0. We confirm predominant single parameter scaling and derive corrections for the T=0 order function q(a), related to a Langevin equation with pseudotime 1/a. a=0 and a=infinity are shown to be two critical points for infinity-RSB, associated with two discrete spectra of Parisi block size ratios, attached to a continuous spectrum. Finite-RSB-size scaling, associated exponents, and T=0-energy are obtained with unprecedented accuracy.
高达第42阶复制对称破缺（RSB）的数值结果被用于预测T = 0时Sherrington-Kirkpatrick自旋玻璃的奇异结构。我们确认了主要的单参数标度，并推导了与具有伪时间1/a的朗之万方程相关的T = 0阶函数q(a)的修正。a = 0和a = ∞被证明是无穷大-RSB的两个临界点，与帕里西块尺寸比的两个离散谱相关联，并附着于一个连续谱。以空前的精度获得了有限-RSB尺寸标度、相关指数和T = 0能量。
