Possibly Exact Solution for the Multicritical Point of Finite-Dimensional Spin Glasses

Details Possibly Exact Solution for the Multicritical Point of Finite-Dimensional Spin Glasses Possibly Exact Solution for the Multicritical Point of Finite-Dimensional Spin Glasses

2004-10-27

arxiv.org/abs/cond-mat/0410694v1

Physics

Condensed Matter

Disordered Systems and Neural Networks

Proceedings for the Recent Progress in Many-Body Theories XII (Santa Fe, US, August 2004)

Scientific paper

After briefly describing the present status of the spin glass theory, we present a conjecture on the exact location of the multicritical point in the phase diagram of finite-dimensional spin glasses. The theory enables us to understand in a unified way many numerical results for two-, three- and four-dimensional models including the +-J Ising model, random Potts model, random lattice gauge theory, and random Zq model. It is also suggested from the same theoretical framework that models with symmetric distribution of randomness in exchange interaction have no finite-temperature transition on the square lattice.

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