Spin glass in the infinitely long-ranged bond-random anisotropic classical planar model-longitudinal and transverse spin glasses

Takayuki Shirakura and Shigetoski Katsura

Physica A: Statistical Mechanics and its Applications, 1983, vol. 117, issue 2, 281-299

Abstract: The spin glass of the bond-random anisotropic classical planar model in an infinitesimal external field in the direction of the easy axis in the infinitely long-ranged limit is considered. We present the ferromagnetic state F, the spin glass states of the first and second kinds (G1 and G2) and the mixed state (M). G1 is the state where the longitudinal components of spins are frozen, and in G2 the longitudinal and the transeverse components are frozen, both without the ferromagnetic long range order. M is the longitudinal and transverse spin glass state with the ferromagnetic long range order. The transition temperatures between P(paramagnetic)-F(ferromagnetic), P-G1, G1-G2, F-M states are obtained. The boundaries between F-G1(η = 0) and M-G2(η = 1) states are obtained at T = 0.

Date: 1983
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:117:y:1983:i:2:p:281-299

DOI: 10.1016/0378-4371(83)90118-8

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