Study of the de Almeida-Thouless line using power-law diluted one-dimensional Ising spin glasses

Details Study of the de Almeida-Thouless line using power-law diluted one-dimensional Ising spin glasses Study of the de Almeida-Thouless line using power-law diluted one-dimensional Ising spin glasses

2008-12-02

arxiv.org/abs/0812.0421v3

Phys. Rev. Lett. 102, 177205 (2009)

Physics

Condensed Matter

Disordered Systems and Neural Networks

4 pages, 2 figures, 1 table

Scientific paper

10.1103/PhysRevLett.102.177205

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 an Almeida-Thouless line only occurs in the mean field regime, which corresponds, for a short-range spin glass, to dimension d larger than 6.

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