Phys. Rev. B 76, 020403(R) (2007) [4 pages]Possible description of domain walls in two-dimensional spin glasses by stochastic Loewner evolutions
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. © 2007 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevB.76.020403
DOI:
10.1103/PhysRevB.76.020403
PACS:
05.10.Gg, 75.10.Nr, 11.25.Hf, 75.50.Lk
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