Phys. Rev. Lett. 102, 177205 (2009) [4 pages]Study of the de Almeida–Thouless Line Using Power-Law Diluted One-Dimensional Ising Spin GlassesReceived 1 December 2008; revised 26 March 2009; published 30 April 2009 We test for the existence of a spin-glass phase transition, the de Almeida–Thouless line, in an externally applied (random) magnetic field by performing Monte Carlo simulations on a power-law diluted one-dimensional Ising spin glass for very large system sizes. We find that a de Almeida–Thouless line occurs only in the mean-field regime, which corresponds, for a short-range spin glass, to dimension d larger than 6. © 2009 The American Physical Society URL:
http://link.aps.org/doi/10.1103/PhysRevLett.102.177205
DOI:
10.1103/PhysRevLett.102.177205
PACS:
75.10.Nr, 05.50.+q, 75.40.Mg, 75.50.Lk
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