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arXiv 2013-10-10 DOI 10.1103/PhysRevB.88.224416 0 views

Critical parameters of the three-dimensional Ising spin glass

Janus Collaboration · Baity-Jesi, M. · Baños, R. A. · Cruz, A. · Fernandez, L. A. · Gil-Narvion, J. M. · Gordillo-Guerrero, A. · Iñiguez, D. · Maiorano, A. · Mantovani, F. · Marinari, E. · Martin-Mayor, V. · Monforte-Garcia, J. · Sudupe, A. Muñoz · Navarro, D. · Parisi, G. · Perez-Gaviro, S. · Pivanti, M. · Ricci-Tersenghi, F. · Ruiz-Lorenzo, J. J. · Schifano, S. F. · Seoane, B. · Tarancon, A. · Tripiccione, R. · Yllanes, D.

Original · EN

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.

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