Numerical Zero-Temperature Results for the 3d Edwards-Anderson Ising Spin Glass
A study of the zero temperature properties of the 3d Edwards-Anderson Ising spin glass, by means of multicanonical simulations is reported. Finite size scaling fits of the data are carried out for two hypothetical scenarios: Parisi mean field theory versus a droplet scaling ansatz. With a zero temperature scaling exponent y = 0.72 ±0.12 the data are well described by the droplet scaling ansatz. Alternatively, a description in terms of the Parisi mean field behavior is still possible. The two scenarios give significantly different predictions on lattices of size ≥ 123.
KeywordsMonte Carlo Spin Glass Mean Field Theory Tunneling Time Finite Size Scaling
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- M. Mézard, G. Parisi, and M.A. Virasoro, Spin Glass Theory and Beyond (World Scientific, 1987).Google Scholar
- K.H. Fischer and J.A. Hertz, Spin Glasses (Cambridge University Press, 1991).Google Scholar
- D.L. Stein (editor), Spin Glasses and Biology, Directions in Condensed Matter Physics — Vol. 6, (World Scientific, 1992).Google Scholar
- E. Marinari, G. Parisi and F. Ritort, preprint, cond-mat/9310041 (1993).Google Scholar
- A.J. Bray and M.A. Moore, J. Phys. C 18, L699 (1985).Google Scholar
- A.J. Bray and M.A. Moore, in Heidelberg Colloquium on Glassy Dynamics, edited by J.L. van Hemmen and I. Morgenstern, Lecture Notes in Physics, Vol. 275 (Springer, New York, 1987).Google Scholar
- B. Berg, U. Hansmann, and T. Celik, preprint, submitted to Phys. Rev. B.Google Scholar
- W. Kerler and P. Rehberg, preprint, cond-mat/9402049 (1994).Google Scholar
- B. Berg and C. Vohwinkel, in preparation.Google Scholar
- W.H. Press, B.P. Flannery, S.A. Teukolsky, and W.T. Vetterling, Numerical Recipes (Cambridge University Press, 1988).Google Scholar