Abstract
Using the discrete bond distribution for the Sherrington-Kirkpatrick spin glass, all ground states for the entire ensemble of the bond disorder are enumerated. Although the combinatorial complexity of the enumeration severely restricts attainable system sizes, here , some remarkably intricate patterns found in previous studies already emerge. The analysis of the exact ground-state frequencies suggests a direct construction of their probability density function. Against expectations, the result indicates that its highly skewed appearance for finite evolves logarithmically slow towards a Gaussian distribution.
- Received 29 June 2005
DOI:https://doi.org/10.1103/PhysRevB.72.212408
©2005 American Physical Society