A Field Theory for Finite Dimensional Site Disordered Spin Systems

Details A Field Theory for Finite Dimensional Site Disordered Spin Systems A Field Theory for Finite Dimensional Site Disordered Spin Systems

1996-02-13

arxiv.org/abs/cond-mat/9602070v2

Phys.Rev.Lett. 77 (1996) 3037

Physics

Condensed Matter

Disordered Systems and Neural Networks

Replaced with published version. 4 pages, 1 Postscript figure, uses revtex. Also available at http://chimera.roma1.infn.it/i

Scientific paper

10.1103/PhysRevLett.77.3037

We present a new field theoretic approach for finite dimensional site disordered spin systems by introducing the notion of grand canonical disorder, where the number of spins in the system is random but quenched. We analyze this field theory using the variational replica formalism. For a variety of interactions we find a spin glass phase (with continuous replica symmetry breaking) and explicitly discuss a three dimensional system where this occurs. This approximation also suggests that any ferromagnetic transition occur within the spin glass phase.

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