Energy gap of the bimodal two-dimensional Ising spin glass

Details Energy gap of the bimodal two-dimensional Ising spin glass Energy gap of the bimodal two-dimensional Ising spin glass

2008-04-11

arxiv.org/abs/0804.1857v1

New Journal of Physics 10 (2008) 093012

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures

Scientific paper

10.1088/1367-2630/10/9/093012

An exact algorithm is used to compute the degeneracies of the excited states of the bimodal Ising spin glass in two dimensions. It is found that the specific heat at arbitrary low temperature is not a self-averaging quantity and has a distribution that is neither normal or lognormal. Nevertheless, it is possible to estimate the most likely value and this is found to scale as L^3 T^(-2) exp(-4J/kT), for a L*L lattice. Our analysis also explains, for the first time, why a correlation length \xi ~ exp(2J/kT) is consistent with an energy gap of 2J. Our method allows us to obtain results for up to 10^5 disorder realizations with L <= 64. Distributions of second and third excitations are also shown.

Affiliated with

Also associated with

No associations

Rating

Energy gap of the bimodal two-dimensional Ising spin glass 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 Energy gap of the bimodal two-dimensional Ising spin glass, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Energy gap of the bimodal two-dimensional Ising spin glass will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-706028