Physics Department, University of Massachusetts, Amherst, Massachussets 01003, USA.
Phys Rev Lett. 2012 Oct 26;109(17):177204. doi: 10.1103/PhysRevLett.109.177204. Epub 2012 Oct 23.
The three-dimensional Edwards-Anderson and mean-field Sherrington-Kirkpatrick Ising spin glasses are studied via large-scale Monte Carlo simulations at low temperatures, deep within the spin-glass phase. Performing a careful statistical analysis of several thousand independent disorder realizations and using an observable that detects peaks in the overlap distribution, we show that the Sherrington-Kirkpatrick and Edwards-Anderson models have a distinctly different low-temperature behavior. The structure of the spin-glass overlap distribution for the Edwards-Anderson model suggests that its low-temperature phase has only a single pair of pure states.
通过在低温下进行大规模的蒙特卡罗模拟，研究了三维 Edwards-Anderson 和平均场 Sherrington-Kirkpatrick Ising 自旋玻璃。通过对数千个独立无序实现进行仔细的统计分析，并使用能够检测重叠分布中峰值的可观测量，我们表明 Sherrington-Kirkpatrick 和 Edwards-Anderson 模型具有明显不同的低温行为。Edwards-Anderson 模型的自旋玻璃重叠分布的结构表明，其低温相只有一对纯态。
