Geodesic
Spin-one $p$-spin glass: Exact solution for large $p$
Teoretičeskaâ i matematičeskaâ fizika, Tome 194 (2018) no. 2, pp. 295-303 Cet article a éte moissonné depuis la source Math-Net.Ru

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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 $p$-dependence as in the case of Ising spins (two states). In the one-step replica symmetry-breaking state, a quadrupolar orientational glass coexists with the spin glass and also with a regular quadrupole ordering.
Keywords: spin glass, replica approach, Gardner transition.
Mots-clés : quadrupole glass 
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E. E. Tareeva; T. I. Schelkacheva. Spin-one $p$-spin glass: Exact solution for large $p$. Teoretičeskaâ i matematičeskaâ fizika, Tome 194 (2018) no. 2, pp. 295-303. http://geodesic.mathdoc.fr/item/TMF_2018_194_2_a4/

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