Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2006-07-24
J. Stat. Phys. 128, 1113 (2007)
Physics
Condensed Matter
Disordered Systems and Neural Networks
13 pages, 7 figures; final version, to appear in J. Stat. Phys
Scientific paper
10.1007/s10955-007-9336-7
The statistics of low energy states of the 2D Ising spin glass with +1 and -1 bonds are studied for $L \times L$ square lattices with $L \le 48$, and $p$ = 0.5, where $p$ is the fraction of negative bonds, using periodic and/or antiperiodic boundary conditions. The behavior of the density of states near the ground state energy is analyzed as a function of $L$, in order to obtain the low temperature behavior of the model. For large finite $L$ there is a range of $T$ in which the heat capacity is proportional to $T^{5.33 \pm 0.12}$. The range of $T$ in which this behavior occurs scales slowly to $T = 0$ as $L$ increases. Similar results are found for $p$ = 0.25. Our results indicate that this model probably obeys the ordinary hyperscaling relation $d \nu = 2 - \alpha$, even though $T_c = 0$. The existence of the subextensive behavior is attributed to long-range correlations between zero-energy domain walls, and evidence of such correlations is presented.
No associations
LandOfFree
Subextensive singularity in the 2D $\pm J$ 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 Subextensive singularity in the 2D $\pm J$ Ising spin glass, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Subextensive singularity in the 2D $\pm J$ Ising spin glass will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-665805