Numerical results for the Edwards-Anderson spin-glass model at low temperature

作者：Fernandez Julio F^*; Alonso Juan J

来源：Physical Review B, 2013, 87(13): 134205.

DOI：10.1103/PhysRevB.87.134205

We have simulated Edwards-Anderson (EA) as well as Sherrington-Kirkpatrick systems of L-3 spins. After averaging over large sets of EA system samples of 3 %26lt;= L %26lt;= 10, we obtain accurate numbers for distributions p(q) of the overlap parameter q at very low-temperature T. We find p(0)/T -%26gt; 0.233(4) as T -%26gt; 0. This is in contrast with the droplet scenario of spin glasses. We also study the number of mismatched links-between replica pairs-that come with large scale excitations. Contributions from small scale excitations are discarded. We thus obtain for the fractal dimension of outer surfaces of q similar to 0 excitations in the EA model d(s) -%26gt; 2.59(3) as T -%26gt; 0. This is in contrast with d(s) -%26gt; 3 as T -%26gt; 0 that is predicted by mean-field theory for themacroscopic limit. DOI: 10.1103/PhysRevB.87.134205

• 出版日期2013-4-25