Domain walls for spin glasses are believed to be scale 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 SLEκ. Multiple tests are consistent with SLEκ, where κ=2.32±0.08. 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.
|Physical Review B - Condensed Matter and Materials Physics
|Published - Jul 10 2007
ASJC Scopus subject areas
- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics