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

Abstract

The 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 $\psi \nu$ and ${\tau }_0$. 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.

REVTeX 4 style; 5 pages, 4 figures

References in corpus (4)

• Bandwidth-disorder phase diagram of half doped layered manganites
• Correlation Length of the Two-Dimensional Ising Spin Glass with Gaussian Interactions
• Variation of charge/orbital ordering in layered manganites Pr1-xCa1+xMnO4 investigated by transmission electron microscopy
• Two-dimensional charge order in layered 2-1-4 perovskite oxides

Cited by in corpus (2)

• Evidence for Two-Dimensional Spin-Glass Ordering in Submonolayer Fe Films on Cleaved InAs Surfaces
• Structural domain and spin ordering induced glassy magnetic phase in single layered manganite Pr${}_{0.22}$Sr${}_{1.78}$MnO${}_4$