Logarithmic growth law in the two-dimensional Ising spin glass state resulting from the electron doping in single-layered manganites

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dc.creatorMathieu, R.
dc.creatorHe, J. P.
dc.creatorKaneko, Y.
dc.creatorYoshino, H.
dc.creatorAsamitsu, A.
dc.creatorTokura, Y.
dc.date2007-06-19
dc.date.accessioned2026-07-07T08:20:39Z
dc.date.available2026-07-07T08:20:39Z
dc.descriptionThe ac-susceptibility of the electron doped single-layered manganite La$_{1.1}$Sr$_{0.9}$MnO$_4$ is analyzed in detail. A quasi two-dimensional (2$D$) antiferromagnetic (AFM) order with Ising anisotropy is stabilized below $T_N$ $\sim$ 80K. We show that below $T_N$, a rare 2$D$ spin-glass (SG) correlation develops with the same Ising anisotropy as the AFM state. Using simple scaling arguments of the droplet model, we derive a scaling form for the ac-susceptibility data of a 2$D$ SG, which our experimental data follows fairly well. Due to simplifications in this 2$D$ case, the proposed scaling form only contains two unknown variables $ψν$ and $τ_0$. Hence, the logarithmic growth law of the SG correlation predicted by the droplet model is convincingly evidenced by the scaling of our experimental data. The origin and nature of this 2$D$ SG state is also discussed.
dc.descriptionREVTeX 4 style; 5 pages, 4 figures
dc.identifierhttps://arxiv.org/abs/0706.2691
dc.identifierhttp://arxiv.org/abs/0706.2691
dc.identifierPhys. Rev. B 76, 014436 (2007).
dc.identifierdoi:10.1103/PhysRevB.76.014436
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/135129
dc.subjectMaterials Science
dc.subjectStrongly Correlated Electrons
dc.titleLogarithmic growth law in the two-dimensional Ising spin glass state resulting from the electron doping in single-layered manganites
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