Monte Carlo studies of the one-dimensional Ising spin glass with power-law interactions
| dc.creator | Katzgraber, H. G. | |
| dc.creator | Young, A. P. | |
| dc.date | 2002-10-21 | |
| dc.date | 2003-04-10 | |
| dc.date.accessioned | 2026-07-07T06:27:16Z | |
| dc.date.available | 2026-07-07T06:27:16Z | |
| dc.description | We present results from Monte Carlo simulations of the one-dimensional Ising spin glass with power-law interactions at low temperature, using the parallel tempering Monte Carlo method. For a set of parameters where the long-range part of the interaction is relevant, we find evidence for large-scale droplet-like excitations with an energy that is independent of system size, consistent with replica symmetry breaking. We also perform zero-temperature defect energy calculations for a range of parameters and find a stiffness exponent for domain walls in reasonable, but by no means perfect agreement with analytic predictions. | |
| dc.description | 10 pages, 14 figures, 3 tables | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0210451 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0210451 | |
| dc.identifier | Phys. Rev. B 67, 134410 (2003) | |
| dc.identifier | doi:10.1103/PhysRevB.67.134410 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/97367 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.title | Monte Carlo studies of the one-dimensional Ising spin glass with power-law interactions | |
| dc.type | text |