Abstract
We show that the Almeida-Thouless line in Ising spin glasses vanishes when their dimension as , where is a constant of order unity. It is shown that replica symmetry breaking also stops as . Equivalent results that could be checked by simulations are given for the one-dimensional Ising spin glass with long-range interactions.
- Received 11 May 2011
DOI:https://doi.org/10.1103/PhysRevB.83.224408
©2011 American Physical Society