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Spin-One p-Spin Glass: Exact Solution for Large p

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Abstract

We study the low-temperature properties of the p-spin spin glass model in the spin-one (three-state) case for large values of p. We show that the one-step replica symmetry-breaking phase is unstable at a very low temperature, and we calculate the explicit boundary of the stability interval, the Gardner temperature, analytically for large values of p. This temperature for the spin-one model has the same form of dependence on p as in the case of Ising spins (two states). In the one-step replica symmetrybreaking state, a quadrupolar orientational glass coexists with the spin glass and also with a regular quadrupole ordering.

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Authors and Affiliations

  1. Institute for High Pressure Physics, RAS, Troitsk, Moscow Oblast, Russia

    E. E. Tareyeva & T. I. Schelkacheva

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  1. E. E. Tareyeva
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  2. T. I. Schelkacheva
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Correspondence to E. E. Tareyeva.

Additional information

† Deceased.

The research of T. I. Schelkacheva (Sec. 2) was supported by the Russian Foundation for Basic Research (Grant No. 17-02-00320).

The research of E. E. Tareyeva (Secs. 3 and 4) was supported by a grant from the Russian Science Foundation (Project No. 14-22-00093).

Prepared from an English manuscript submitted by the authors; for the Russian version, see Teoreticheskaya i Matematicheskaya Fizika, Vol. 194, No. 1, pp. 295–303, February, 2018.

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Tareyeva, E.E., Schelkacheva, T.I. Spin-One p-Spin Glass: Exact Solution for Large p. Theor Math Phys 194, 252–259 (2018). https://doi.org/10.1134/S0040577918020058

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