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arXiv · 2105.10927

Spin-s Spin-Glass Phases in the d=3 Ising Model

E. Can Artun·A. Nihat Berker
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Abstract

All higher-spin s >= 1/2 Ising spin glasses are studied by renormalization-group theory in spatial dimension d=3. The s-sequence of global phase diagrams, the chaos Lyapunov exponent, and the spin-glass runaway exponent are calculated. It is found that, in d=3, a finite-temperature spin-glass phase occurs for all spin values, including the continuum limit of s \rightarrow \infty. The phase diagrams, with increasing spin s, saturate to a limit value. The spin-glass phase, for all s, exhibits chaotic behavior under rescalings, with the calculated Lyapunov exponent of \lambda = 1.93 and runaway exponent of y_R=0.24, showing simultaneous strong-chaos and strong-coupling behaviors. The ferromagnetic-spinglass-antiferromagnetic phase transitions occurring around p_t = 0.37 and 0.63 are unaffected by s, confirming the percolative nature of this phase transition.

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E. Can Artun, A. Nihat Berker. 2021-05-23. Spin-s Spin-Glass Phases in the d=3 Ising Model. https://doi.org/10.1103/physreve.104.044131

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