Behavior of Ising Spin Glasses in a Magnetic Field

Details Behavior of Ising Spin Glasses in a Magnetic Field Behavior of Ising Spin Glasses in a Magnetic Field

2007-12-12

arxiv.org/abs/0712.2009v2

Phys. Rev. Lett. 100, 197202 (2008)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 4 figures

Scientific paper

10.1103/PhysRevLett.100.197202

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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