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Features of the Scaling of the Anomalous Hall Effect in (CoFeB)x(LiNbO3)100 − x Nanocomposite Films Below the Percolation Threshold: Manifestation of the Cotunneling Hall Conductance?

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A scaling behavior of the anomalous Hall effect resistivity ρAHE versus the longitudinal resistivity ρ in (CoFeB)x(LiNbO3)100 − x nanocomposites with a low content of dispersed Co and Fe atoms (Nd ~ 4 × 1020 cm−3) in an amorphous LiNbO3 matrix is studied in the range x ≈ 40–48 at % below the percolation threshold xp ≈ 49 at %. A logarithmic temperature dependence of the conductivity σ ~ lnT  has been observed in the range x ≈ 44–48 at %, which is transformed in the range x ≈ 40–42 at % to a square root law lnσ ∝ ‒(T0/T)1/2, which is characteristic of cotunneling transport processes in nanocomposites. It has been found that the exponent n ≈ 0.24 in the scaling law ρAHE/x ∝ [ρ(x)]n coincides within an accuracy of 5% with the exponent n in a similar dependence for nanocomposites based on the (CoFeB)x(Al2O3)100 − x matrix with a high content Nd ~1021–1022 cm–3 and with the exponent n in a parametric dependence ρAHE ∝ [ρ(T)]n for the samples with the minimum content x ≈ 40 at %. The found features are attributed to the correlated change in the probability of cotunneling transitions in a set of more than three centers under the effect of spin–orbit coupling. The manifestation of the barrier tunneling anomalous Hall effect at granule interfaces is also p-ossible.

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ACKNOWLEDGMENTS

The data on the film structures were obtained using the equipment of the Resource Center, National Research Center Kurchatov Institute.

Funding

This work was supported in part by the Russian Science Foundation (project no. 22-29-00392).

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Authors and Affiliations

  1. National Research Center Kurchatov Institute, 123182, Moscow, Russia

    S. N. Nikolaev, K. Yu. Chernoglazov & V. V. Rylkov

  2. Moscow Institute of Physics and Technology (National Research University), 141701, Dolgoprudnyi, Moscow region, Russia

    A. S. Bugaev

  3. Fryazino Branch, Kotelnikov Institute of Radio Engineering and Electronics, Russian Academy of Sciences, 141190, Fryazino, Moscow region, Russia

    A. S. Bugaev & V. V. Rylkov

  4. Faculty of Physics, Moscow State University, 119991, Moscow, Russia

    A. B. Granovsky

  5. Institute for Theoretical and Applied Electrodynamics, Russian Academy of Sciences, 125412, Moscow, Russia

    A. B. Granovsky & V. V. Rylkov

Authors
  1. S. N. Nikolaev
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  2. K. Yu. Chernoglazov
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  3. A. S. Bugaev
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  4. A. B. Granovsky
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  5. V. V. Rylkov
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Correspondence to S. N. Nikolaev or V. V. Rylkov.

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Translated by R. Tyapaev

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Nikolaev, S.N., Chernoglazov, K.Y., Bugaev, A.S. et al. Features of the Scaling of the Anomalous Hall Effect in (CoFeB)x(LiNbO3)100 − x Nanocomposite Films Below the Percolation Threshold: Manifestation of the Cotunneling Hall Conductance?. Jetp Lett. 118, 508–513 (2023). https://doi.org/10.1134/S0021364023602348

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  • DOI: https://doi.org/10.1134/S0021364023602348

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