Ground-state clusters of two-, three- and four-dimensional +-J Ising spin glasses

Details Ground-state clusters of two-, three- and four-dimensional +-J Ising spin glasses Ground-state clusters of two-, three- and four-dimensional +-J Ising spin glasses

1999-02-09

arxiv.org/abs/cond-mat/9902120v2

Phys. Rev. E 63, 016106 (2001)

Physics

Condensed Matter

Disordered Systems and Neural Networks

large extensions, now 12 pages, 9 figures, 27 references

Scientific paper

10.1103/PhysRevE.63.016106

A huge number of independent true ground-state configurations is calculated for two-, three- and four-dimensional +- J spin-glass models. Using the genetic cluster-exact approximation method, system sizes up to N=20^2,8^3,6^4 spins are treated. A ``ballistic-search'' algorithm is applied which allows even for large system sizes to identify clusters of ground states which are connected by chains of zero-energy flips of spins. The number of clusters n_C diverges with N going to infinity. For all dimensions considered here, an exponential increase of n_C appears to be more likely than a growth with a power of N. The number of different ground states is found to grow clearly exponentially with N. A zero-temperature entropy per spin of s_0=0.078(5)k_B (2d), s_0=0.051(3)k_B (3d) respectively s_0=0.027(5)k_B (4d) is obtained.

Affiliated with

Also associated with

No associations

Rating

Ground-state clusters of two-, three- and four-dimensional +-J Ising spin glasses does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ground-state clusters of two-, three- and four-dimensional +-J Ising spin glasses, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ground-state clusters of two-, three- and four-dimensional +-J Ising spin glasses will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-490471