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arXiv · 1705.10241

Dynamic scaling analysis of the long-range RKKY Ising spin glass Dy$_{x}$Y$_{1-x}$Ru$_{2}$Si$_{2}$

Yoshikazu Tabata·Takeshi Waki·Hiroyuki Nakamura
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Abstract

Dynamic scaling analyses of linear and nonlinear ac susceptibilities in a model magnet of the long-rang RKKY Ising spin glass (SG) Dy$_{x}$Y$_{1-x}$Ru$_{2}$Si$_{2}$ were examined. The obtained set of the critical exponents, $γ$ $\sim$ 1, $β$ $\sim$ 1, $δ$ $\sim$ 2, and $zν$ $\sim$ 3.4, indicates the SG phase transition belongs to a different universality class from either the canonical (Heisenberg) or the short-range Ising SGs. The analyses also reveal a finite-temperature SG transition with the same critical exponents under a magnetic field and the phase transition line $T_{\mbox{g}}(H)$ described by $T_{\mbox{g}}(H)$ $=$ $T_{\mbox{g}}(0)(1-AH^{2/ϕ})$ with $ϕ$ $\sim$ 2. The crossover exponent $ϕ$ obeys the scaling relation $ϕ$ $=$ $γ+ β$ within the margin of errors. These results strongly suggest the spontaneous replica-symmetry-breaking (RSB) with a {\it non- or marginal-mean-field universality class} in the long-range RKKY Ising SG.

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Yoshikazu Tabata, Takeshi Waki, Hiroyuki Nakamura. 2017-11-14. Dynamic scaling analysis of the long-range RKKY Ising spin glass Dy$_{x}$Y$_{1-x}$Ru$_{2}$Si$_{2}$. https://doi.org/10.1103/physrevb.96.184406

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