A general method to determine replica symmetry breaking transitions

Details A general method to determine replica symmetry breaking transitions A general method to determine replica symmetry breaking transitions

1998-02-27

arxiv.org/abs/cond-mat/9802309v1

Phys. Rev. Lett. vol. 81, 1698 (1998)

Physics

Condensed Matter

Statistical Mechanics

5 pages, 4 figures, Revtex file

Scientific paper

10.1103/PhysRevLett.81.1698

We introduce a new parameter to investigate replica symmetry breaking transitions using finite-size scaling methods. Based on exact equalities initially derived by F. Guerra this parameter is a direct check of the self-averaging character of the spin-glass order parameter. This new parameter can be used to study models with time reversal symmetry but its greatest interest concerns models where this symmetry is absent. We apply the method to long-range and short-range Ising spin glasses with and without magnetic field as well as short-range multispin interaction spin glasses.

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