We report a high-precision finite-size scaling study of the critical behavior of the three-dimensional Ising Edwards-Anderson model (the Ising spin glass). We have thermalized lattices up to L=40 using the Janus dedicated computer. Our analysis takes into account leading-order corrections to scaling. We obtain Tc=1.1019(29) for the critical temperature, ν=2.562(42) for the thermal exponent, η=-0.3900(36) for the anomalous dimension, and ω=1.12(10) for the exponent of the leading corrections to scaling. Standard (hyper)scaling relations yield α=-5.69(13), β=0.782(10), and γ=6.13(11). We also compute several universal quantities at Tc. © 2013 American Physical Society.
Baity-Jesi, M., Banos, R.A., Cruz, A., Fernandez, L.A., Gil-Narvion, J.M., Gordillo-Guerrero, A., et al. (2013). Critical parameters of the three-dimensional Ising spin glass. PHYSICAL REVIEW. B, CONDENSED MATTER AND MATERIALS PHYSICS, 88(22), 224416 [10.1103/physrevb.88.224416].
Critical parameters of the three-dimensional Ising spin glass
Andrea Maiorano;
2013-01-01
Abstract
We report a high-precision finite-size scaling study of the critical behavior of the three-dimensional Ising Edwards-Anderson model (the Ising spin glass). We have thermalized lattices up to L=40 using the Janus dedicated computer. Our analysis takes into account leading-order corrections to scaling. We obtain Tc=1.1019(29) for the critical temperature, ν=2.562(42) for the thermal exponent, η=-0.3900(36) for the anomalous dimension, and ω=1.12(10) for the exponent of the leading corrections to scaling. Standard (hyper)scaling relations yield α=-5.69(13), β=0.782(10), and γ=6.13(11). We also compute several universal quantities at Tc. © 2013 American Physical Society.
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https://hdl.handle.net/11365/1228803
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