We demonstrate the existence of a topological disconnection threshold, recently found by Borgonovi [J. Stat. Phys. 116, 1435 (2004)], for generic 1-d anisotropic Heisenberg models interacting with an interparticle potential R(-alpha) when 0
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Topological nonconnectivity threshold in long-range spin systems.
Phys Rev E Stat Nonlin Soft Matter Phys
February 2006
Dipartimento di Matematica e Fisica, Università Cattolica, via Musei 41, 25121 Brescia, Italy.
We demonstrate the existence of a topological disconnection threshold, recently found by Borgonovi [J. Stat. Phys.
View Article and Find Full Text PDFTime scale for magnetic reversal and the topological nonconnectivity threshold.
Phys Rev E Stat Nonlin Soft Matter Phys
January 2006
Dipartimento di Matematica e Fisica, Università Cattolica, via Musei 41, 25121 Brescia, Italy.
Anisotropic classical Heisenberg models with all-to-all spin coupling display a topological nonconnectivity threshold (TNT) for any number N of spins. Below this threshold, the energy surface is disconnected in two components with positive and negative total magnetizations, respectively, so that magnetization cannot reverse its sign and ergodicity is broken, even at finite N. Here, we solve the model in the microcanonical ensemble, using a recently developed method based on large deviation techniques, and show that a phase transition is present at an energy higher than the TNT energy.
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