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"Spherical" 3-State Potts Spin Glass: Exact Solution

N. V. Gribova·V. N. Ryzhov·E. E. Tareyeva
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Abstract

A continuous 3-state Potts model with an analog of spherical constraints is proposed and is shown to have an exact solution in the case of infinite-ranged interactions. "Spherical" 3-state Potts spin glass model is solved using the known properties of a large random matrix. For this model the results are identical to those obtained by the replica approach for replica symmetric solution.

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N. V. Gribova, V. N. Ryzhov, E. E. Tareyeva. 2004-04-26. "Spherical" 3-State Potts Spin Glass: Exact Solution. https://arxiv.org/abs/cond-mat/0404609

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