Publication: Spin-glass transition of the three-dimensional heisenberg spin glass
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2006-11-24
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American Physical Society
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Abstract
It is shown, by means of Monte Carlo simulation and finite size scaling analysis, that the Heisenberg spin glass undergoes a finite-temperature phase transition in three dimensions. There is a single critical temperature, at which both a spin glass and a chiral glass ordering develop. The Monte Carlo algorithm, adapted from lattice gauge theory simulations, makes it possible to thermalize lattices of size L 32, larger than in any previous spin-glass simulation in three dimensions. High accuracy is reached thanks to the use of the Marenostrum supercomputer. The large range of system sizes studied allows us to consider scaling corrections.
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© 2006 American Physical Society. Alonso for discussions, and BIFI (U. Z.) and Marenostrum (Barcelona Supercomputing Center) for computing time. We were partly supported by BSCH—UCM, by DGA– Spain (M. C.-A and S. P.-G.), and by MEC (Spain) through Contracts No. BFM2003-08532 and No. FIS2004-05073.