Are Domain Walls in Spin Glasses Described by Stochastic Loewner Evolutions?
| dc.creator | Bernard, Denis | |
| dc.creator | Doussal, Pierre Le | |
| dc.creator | Middleton, A. Alan | |
| dc.date | 2006-11-16 | |
| dc.date.accessioned | 2026-07-07T08:17:40Z | |
| dc.date.available | 2026-07-07T08:17:40Z | |
| dc.description | Domain walls for spin glasses are believed to be scale invariant invariant; a stronger symmetry, conformal invariance, has the potential to hold. The statistics of zero-temperature Ising spin glass domain walls in two dimensions are used to test the hypothesis that these domain walls are described by a Schramm-Loewner evolution SLE$_κ$. Multiple tests are consistent with SLE$_κ$, where $κ=2.30(5)$. Both conformal invariance and the domain Markov property are tested. The latter does not hold in small systems, but detailed numerical evidence suggests that it holds in the continuum limit. | |
| dc.description | 4 pages, 3 figures, see related work by Amoruso, Hartmann, Hastings, Moore at cond-mat/0601711 | |
| dc.identifier | https://arxiv.org/abs/cond-mat/0611433 | |
| dc.identifier | http://arxiv.org/abs/cond-mat/0611433 | |
| dc.identifier | Physical Review B 76, 020403(R) (2007) | |
| dc.identifier | doi:10.1103/PhysRevB.76.020403 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/134168 | |
| dc.subject | Disordered Systems and Neural Networks | |
| dc.subject | Statistical Mechanics | |
| dc.title | Are Domain Walls in Spin Glasses Described by Stochastic Loewner Evolutions? | |
| dc.type | text |