Abstract
The thermal-to-percolative crossover exponent , well known for ferromagnetic systems, is studied extensively for Edwards–Anderson spin glasses. The scaling of defect energies are determined at the bond percolation threshold using an improved reduction algorithm. Simulations extend to system sizes above in dimensions . The results can be related to the behavior of the transition temperature between the paramagnetic and the glassy regime for . In three dimensions, where our simulations predict , this scaling form for provides a rare experimental test of predictions arising from the equilibrium theory of low-temperature spin glasses. For dimensions near and above the upper critical dimension, the results provide a challenge to reconcile mean-field theory with finite-dimensional properties.
- Received 3 March 2008
DOI:https://doi.org/10.1103/PhysRevB.77.100405
©2008 American Physical Society