Low-Temperature Phase Boundary of dilute Lattice Spin Glasses

S. Boettcher; E. Marchetti

doi:10.1016/j.physa.2007.07.016

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arXiv · 0710.0041

Low-Temperature Phase Boundary of dilute Lattice Spin Glasses

S. Boettcher·E. Marchetti

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Abstract

The thermal-to-percolative crossover exponent ϕ, well-known for ferromagnetic systems, is studied extensively for Edwards-Anderson spin glasses. The scaling of defect energies are determined at the bond percolation threshold p_c, using an improved algorithm. Simulations extend to system sizes above N=10^8 in dimensions d=2,...,7. The results can be related to the behavior of the transition temperature T_g (p-p_c)^ϕbetween the paramagnetic and the glassy regime for p-> p_c. In three dimensions, where our simulations predict ϕ=1.127(5), this scaling form for T_g provides a rare experimental test of predictions arising from the equilibrium theory of low-temperature spin glasses. For dimension near and above the upper critical dimension, the results provide a new challenge to reconcile mean-field theory with finite-dimensional properties.

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BibTeX RIS

S. Boettcher, E. Marchetti. 2008-04-08. Low-Temperature Phase Boundary of dilute Lattice Spin Glasses. https://doi.org/10.1016/j.physa.2007.07.016

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