2007/12/31 by Thomas Jorg, Thomas Jörg, Helmut G. Katzgraber +2 · 3 citations
Economics, Econometrics and Finance · Materials Science · Mathematics · Physics and Astronomy · #Complex Systems and Time Series Analysis #Condensed matter physics #Field (mathematics) #Ising model #Ising spin #Material Dynamics and Properties #Mathematics #Physics #Spin (aerodynamics) #Spin glass #Statistical physics #Theoretical and Computational Physics #Thermodynamics #cond-mat.dis-nn
paper · pdf · doi:10.1103/physrevlett.100.197202
published as Phys. Rev. Lett. 100, 197202 (2008) · 4 pages, 4 figures
arxiv created 2008/05/13 · openalex publication_date 2008/05/13 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
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.