Spin-glass behaviour on random lattices

Details Spin-glass behaviour on random lattices Spin-glass behaviour on random lattices

2006-04-05

arxiv.org/abs/cond-mat/0604144v2

Physics

Condensed Matter

Disordered Systems and Neural Networks

Scientific paper

The ground-state phase diagram of an Ising spin-glass model on a random graph with an arbitrary fraction $w$ of ferromagnetic interactions is analysed in the presence of an external field. Using the replica method, and performing an analysis of stability of the replica-symmetric solution, it was shown that $w=1/2$, correponding to an unbiased spin glass, is a singular point in the phase diagram, separating a region with a spin-glass phase ($w<1/2$) from a region with spin-glass, ferromagnetic, mixed, and paramagnetic phases ($w>1/2$).

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