Title

Are Domain Walls in Spin Glasses Described by Stochastic Loewner Evolutions?

Author(s)/Creator(s)

Alan Middleton, Syracuse UniversityFollow
Denis Bernard, CNRS-Laboratoire de Physique Theorique de l’Ecole Normale Superieure
Pierre Le Doussal, CNRS-Laboratoire de Physique Theorique de l’Ecole Normale Superieure

Document Type

Article

Date

11-16-2006

Language

English

Disciplines

Physics

Description/Abstract

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$_\kappa$. Multiple tests are consistent with SLE$_\kappa$, where $\kappa=2.30(5)$. 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.

Additional Information

4 pages, 3 figures, see related work by Amoruso, Hartmann, Hastings, Moore at cond-mat/0601711 More information at http://arxiv.org/abs/cond-mat/0611433

Recommended Citation

Middleton, Alan; Bernard, Denis; and Doussal, Pierre Le, "Are Domain Walls in Spin Glasses Described by Stochastic Loewner Evolutions?" (2006). Physics - All Scholarship. 181.
https://surface.syr.edu/phy/181

Source

Harvested from Arxiv.org

Creative Commons License

This work is licensed under a Creative Commons Attribution 3.0 License.