title: Study of the de Almeida-Thouless line using power-law diluted one-dimensional Ising spin glasses.
abstract: 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.
authors.affiliation: Theoretische Physik, ETH Zurich, CH-8093 Zurich, Switzerland.
authors.forename: Helmut G
authors.initials: HG
authors.lastname: Katzgraber
authors.forename: Derek
authors.initials: D
authors.lastname: Larson
authors.forename: A P
authors.initials: AP
authors.lastname: Young