Dresden 2006 – scientific programme

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DF: Dielektrische Festkörper

DF 6: Glass II (together with division ‘Dynamics and Statistical Physics’ [DY])

DF 6.5: Talk

Tuesday, March 28, 2006, 15:50–16:10, M{\"U}L Elch

The m-component spin glass on the Bethe lattice — •Axel Braun and Timo Aspelmeier — Institut für theoretische Physik, Universität Göttingen

We investigate the m-component vector spin glass on the Bethe lattice in the limit m→∞. This is done analytically via the cavity method on a replica symmetric level. We exhibit a phase transition and calculate the critical temperature. Furthermore we confirm numerically the condensation of the lattice spins into a subspace in the groundstate (generalized Bose-Einstein condensation). The dimension n₀ of this subspace is proportional to N^µ, where N is the number of spins and µ is an exponent less than 2/5. This result is compared to the fully connected, the 2-d and the 3-d m-component spin glass.