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Nonlinear susceptibilities as a probe to unambiguously distinguish between canonical and cluster spin glasses

机译:非线性磁化率作为明确区分正则和簇旋玻璃的探针

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Treating the randomly Fe-substituted optimally hole-doped manganite La_(0.7)Pb_(0.3)(Mn_(1-y)Fe_y)O_3 (y = 0.2,0.3) as a test case, we demonstrate that a combined investigation of both odd and even harmonics of the ac magnetic response permits an unambiguous distinction between the canonical and cluster spin glasses. As expected for a spin glass (SG), the nonlinear ac magnetic susceptibilities X_3(T,ω) and X_5(T,ω) (odd harmonics) diverge at the SG freezing temperature T_g = 80.00(3) K [T_g = 56.25(5) K] in the static limit and, like the imaginary part of the linear susceptibility, follow dynamic scaling with the critical exponents β = 0.56(3) [β = 0.63(3)], γ = 1.80(5) [γ = 2.0(1)], and zν = 10.1(1) [zν = 8.0(5)] in the sample with composition y = 0.2 (γ = 0.3). The nonlinear susceptibility X_(NL), which has contributions from both X_3 and X_5, satisfies static scaling with the same choice of T_8,β, and γ. Irrespective of the Fe concentration, the values of the critical exponents γ, v, and η are in much better agreement with those theoretically predicted for a three-dimensional (d = 3) Heisenberg chiral SG than for a d = 3 Ising SG. The true thermodynamic nature of the "zero-field" spin-glass transition is preserved even in finite magnetic fields. Unlike odd harmonics, even harmonics X_2(T,ω) and X_4(T,ω) make it evident that, apart from the macroscopic length scale of the spin-glass order in the static limit, there exists a length scale that corresponds to the short-range ferromagnetic order.
机译:以随机取代的Fe取代的最佳空穴掺杂锰La_(0.7)Pb_(0.3)(Mn_(1-y)Fe_y)O_3(y = 0.2,0.3)作为测试案例,我们证明了两者的综合研究甚至交流磁响应的谐波也允许在标准自旋玻璃和簇状自旋玻璃之间进行明确的区分。正如旋转玻璃(SG)所预期的那样,非线性SG磁化率X_3(T,ω)和X_5(T,ω)(奇次谐波)在SG冻结温度T_g = 80.00(3)K [T_g = 56.25( 5)K]在静态极限中,并且像线性磁化率的虚部一样,遵循动态缩放,且临界指数为β= 0.56(3)[β= 0.63(3)],γ= 1.80(5)[γ= 2.0(1)],且组成y = 0.2(γ= 0.3)的样品中zν= 10.1(1)[zν= 8.0(5)]。由X_3和X_5共同贡献的非线性磁化率X_(NL)在选择了T_8,β和γ的情况下满足静态缩放。与Fe浓度无关,临界指数γ,v和η的值与三维(d = 3)Heisenberg手性SG的理论预测值相比,对于d = 3 Ising SG的理论值更好。即使在有限的磁场中,“零场”自旋玻璃化转变的真正热力学性质也得以保留。与奇次谐波不同,偶次谐波X_2(T,ω)和X_4(T,ω)可以看出,除了静态极限中自旋玻璃阶的宏观长度标度以外,还存在一个与之对应的长度标度。短程铁磁有序。

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