Stability of a crystal-field split spin glass
- 20 September 1985
- journal article
- Published by IOP Publishing in Journal of Physics C: Solid State Physics
- Vol. 18 (26) , 5201-5213
- https://doi.org/10.1088/0022-3719/18/26/028
Abstract
A generalisation of the Sherrington-Kirkpatrick Ising spin glass model to spins Sz=0,+or-1, . . . +or-S with exchange JijSizSjz, where the Jij are randomly distributed, and crystal field D(Siz)2, is examined with regard to the character of its transitions and the stability of its phases, in order to clarify and correct earlier work. Both continuous and discontinuous transitions are found. Conventional Parisi theory with renormalised parameters suffices near the continuous transition away from the tricritical point, but near the tricritical point and the first-order transitions, new effects are predicted.Keywords
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