Behavior of Ising Spin Glasses in a Magnetic Field

Abstract : We study the existence of a spin-glass phase in a field using Monte Carlo simulations performed along a nontrivial path in the field--temperature plane that must cross any putative de Almeida-Thouless instability line. The method is first tested on the Ising spin glass on a Bethe lattice where the instability line separating the spin glass from the paramagnetic state is also computed analytically. While the instability line is reproduced by our simulations on the mean-field Bethe lattice, no such instability line can be found numerically for the short-range three-dimensional model.
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Submitted on : Friday, June 6, 2008 - 4:28:44 PM
Last modification on : Tuesday, March 5, 2019 - 9:30:10 AM

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  • HAL Id : hal-00285952, version 1
  • ARXIV : 0712.2009

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Thomas Jorg, Helmut G. Katzgraber, Florent Krzakala. Behavior of Ising Spin Glasses in a Magnetic Field. Physical Review Letters, American Physical Society, 2008, 100, pp.197202. ⟨hal-00285952⟩

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