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Itinerant ferromagnetism and intrinsic anomalous Hall effect in amorphous iron-germanium
Journal article   Open access   Peer reviewed

Itinerant ferromagnetism and intrinsic anomalous Hall effect in amorphous iron-germanium

D. S. Bouma, Z. Chen, B. Zhang, F. Bruni, M. E. Flatte, A. Ceballos, R. Streubel, L-W Wang, R. Q. Wu and F. Hellman
Physical review. B, Vol.101(1), p.1
01/02/2020
DOI: 10.1103/PhysRevB.101.014402
url
https://research.tue.nl/en/publications/1cd81545-2e63-4107-8783-3c0643fba25eView
Open Access

Abstract

The amorphous iron-germanium system (a-FexGe1-x) lacks long-range structural order and hence lacks a meaningful Brillouin zone. The magnetization of a-FexGe1-x is well explained by the Stoner model for Fe concentrations x above the onset of magnetic order around x = 0.4, indicating that the local order of the amorphous structure preserves the spin-split density of states of the Fe-3d states sufficiently to polarize the electronic structure despite k being a bad quantum number. Measurements reveal an enhanced anomalous Hall resistivity rho(AH)(xy) relative to crystalline FeGe; this rho(AH)(xy) is compared to density-functional theory calculations of the anomalous Hall conductivity to resolve its underlying mechanisms. The intrinsic mechanism, typically understood as the Berry curvature integrated over occupied k states but shown here to be equivalent to the density of curvature integrated over occupied energies in aperiodic materials, dominates the anomalous Hall conductivity of a-FexGe1-x (0.38 <= x <= 0.61). The density of curvature is the sum of spin-orbit correlations of local orbital states and can hence be calculated with no reference to k space. This result and the accompanying Stoner-like model for the intrinsic anomalous Hall conductivity establish a unified understanding of the underlying physics of the anomalous Hall effect in both crystalline and disordered systems.
Materials Science Physical Sciences Physics Technology Materials Science, Multidisciplinary Physics, Applied Physics, Condensed Matter Science & Technology

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