Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2003-07-23
Phys. Rev. B 68, 224408 (2003)
Physics
Condensed Matter
Disordered Systems and Neural Networks
7 pages, 6 figures, 8 tables
Scientific paper
10.1103/PhysRevB.68.224408
Results are presented for the geometry of low-energy excitations in the one-dimensional Ising spin chain with power-law interactions, in which the model parameters are chosen to yield a finite spin-glass transition temperature. Both finite-temperature and ground-state studies are carried out. For the range of sizes studied the data cannot be fitted to any of the standard spin-glass scenarios without including corrections to scaling. Incorporating such corrections we find that the fractal dimension of the surface of the excitations, is either equal to the space dimension, consistent with replica symmetry breaking, or very slightly less than it. The latter case is consistent with the droplet and "trivial-nontrivial" (TNT) pictures.
Katzgraber Helmut G.
Young Patrick A.
No associations
LandOfFree
Geometry of large-scale low-energy excitations in the one-dimensional Ising spin glass with power-law interactions 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 Geometry of large-scale low-energy excitations in the one-dimensional Ising spin glass with power-law interactions, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Geometry of large-scale low-energy excitations in the one-dimensional Ising spin glass with power-law interactions will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-165989