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Extrinsic Anomalous Hall Effect in Ni thin films
modified by 1 ML copper interface Jianli Xu, Yufan Li, Dazhi Hou and Xiaofeng Jin Surface Physics Laboratory and Physics Department, Fudan University, Shanghai , China Ordinary Hall Effect Anomalous Hall Effect Sample preparation MgO(001) Ni(001) 1ML Cu MgO thickness Intrinsic[1][2][3]: anomalous velocity produced by band mixing and spin-orbit coupling Extrinsic: skew scattering[4] and side jump[5] induced by impurity scattering ρ ah =α ρ xx0 +β ρ 2 xx0 +b ρ 2 xx σ ah =−(α ρ xx0 +β ρ 2 xx0 ) σ 2 xx −b [1]Karplus & Luttinger (1954) [2]Jungwirth, Niu, MacDonald (2002) [3]Onoda & Nagaosa (2002) [4]J. Smit, Physica (1955); 24, 39 (1958). [5]L. Berger, PRB 2, 4559 (1970). RHEED pattern of substrate and sample [6]Y. Tian, L. Ye, X.F. Jin, Phys. Rev. Lett., 103, (2009) [7] L. Ye ,Y. Tian,,X.F. Jin, arXive: v1 What would happen for interface modification? MgO(001) Epitaxial Ni(001) Finite size effect The AHE by interface modification Short-circuit maximum≈10% Dominance of skew scattering Determination of α T=5K 𝛒 𝐚𝐡𝟎 𝛒 𝐱𝐱𝟎 =𝛂+(𝛃+𝐛) 𝛒 𝐱𝐱𝟎 𝝈 𝑺𝑲 =-𝜶 𝝆 𝒙𝒙𝟎 𝝈 𝟐 𝒙𝒙 Conclusion: The modification of Anomalous Hall effect in Ni film by inserting 1ML copper is apparently dominant by the skew scattering.
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