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Updated: Jun 22, 2026

Methods of Ex Situ and In Situ Investigations of Structural Transformations: The Case of Crystallization of Metallic Glasses
Published on: June 7, 2018
Study of the de Almeida-Thouless line using power-law diluted one-dimensional Ising spin glasses
Helmut G Katzgraber1, Derek Larson, A P Young
1Theoretische Physik, ETH Zurich, CH-8093 Zurich, Switzerland.
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.
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