First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe

Yao, Yugui; Kleinman, Leonard; MacDonald, Allan H.; Sinova, Jairo; Jungwirth, T.; Wang, Ding Sheng; Wang, Enge; Niu, Qian

doi:10.1103/physrevlett.92.037204

Cited by 862 publications

(691 citation statements)

References 30 publications

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“…(1)], which can be accurately calculated using modern first-principles methods, a comparison between experiments and first-principles calculations serves as the first necessary step to deeper understanding of the intrinsic AHE in real materials. Several investigations using the first-principles methods have been done, for instance, in SrRuO 3 , 7,8 Fe, 9,10 Mn 5 Ge 3 , 11 CuCr 2 Se 4−x Br x , 12 Ni, 13 and Co. 13,14 For those materials, the calculated intrinsic AHC agrees well with the experimental values, except for the case of fcc Ni, 13 which might be due to its complicated electronic structure. 15 One of the recently emerging topics in the field of the transverse magnetotransport phenomena is the anisotropic nature of the off-diagonal part of the conductivity tensor.…”

Section: Introductionsupporting

confidence: 69%

Anisotropic intrinsic anomalous Hall effect in ordered3dPt alloys

2011

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By performing first-principles calculations, we investigate the intrinsic anomalous Hall conductivity (AHC) and its anisotropy in ordered L1 0 FePt, CoPt, and NiPt ferromagnets and their intermediate alloys. We demonstrate that the AHC in this family of compounds depends strongly on the direction of the magnetization M in the crystal. We predict that such pronounced orientational dependence in combination with the general decreasing trend of the AHC when going from FePt to NiPt leads to a sign change of the AHC upon rotating the magnetization direction in the crystal of CoPt alloy. We also suggest that, for a range of concentration x in Co x Ni 1−x Pt and Fe x Co 1−x Pt alloys, it is possible to achieve a complete quenching of the anomalous Hall current for a certain direction of the magnetization in the crystal. By analyzing the spin-resolved AHC in 3dPt alloys, we endeavor to relate the overall trend of the AHC in these compounds to the changes in their densities of d states around the Fermi energy upon varying the atomic number. Moreover, we show the generality of the phenomenon of anisotropic anomalous Hall effect by demonstrating its occurrence within the three-band tight-binding model.

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Section: Introductionsupporting

confidence: 69%

Anisotropic intrinsic anomalous Hall effect in ordered3dPt alloys

2011

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“…In this region ͉ xy ͉ϳ10 3 S / cm, which can be mostly assigned to the intrinsic Berry-phase contribution. 6,29 As seen in Fig. 5, our samples with higher conductivities, i.e., the optically patterned samples of t Х 10 nm and that of t = 2.5 nm also belong to this regime.…”

Section: Resultsmentioning

confidence: 82%

Anomalous Hall effect in Fe (001) epitaxial thin films over a wide range in conductivity

et al. 2009

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We report Hall-effect measurements of epitaxial Fe ͑001͒ thin films grown on MgO ͑001͒. We have focused on the dependence of the anomalous Hall effect ͑AHE͒ in heteroepitaxial structures MgO ͑001͒ / /Fe͑t͒ / MgO with t = 10, 2.5, 2, 1.8, and 1.3 nm. Our results have been interpreted in terms of a recent unified theory of the AHE. We have demonstrated that the thickness and roughness of the Fe layer are control parameters to tune both the longitudinal conductivity xx and anomalous Hall conductivity xy . In this way, we report a crossover from the intrinsic moderately dirty region of conductivities where xy = const to the dirty region of poorly conducting materials ͑ xx Ͻ 10 4 S / cm͒ where we have found that the relation xy ϰ xx n with n = 1.66͑4͒ holds, in good agreement, with the expected universal scaling relationship reported in other ferromagnetic compounds.

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“…A striking feature of the Berry curvature in crystalline ferromagnets is the occurrence of sharp peaks when two energy bands lying on either side of the Fermi level become quasidegenerate [8][9][10]. This can be understood in terms of Eq.…”

Section: Berry Curvature In the Folded Brillouin Zonementioning

confidence: 99%

“…(4) and (5) below]; what the unfolded Berry curvature provides is the detailed k-space distribution of the AHC, including disorder contributions. This is particularly valuable, given that the (genuinely) intrinsic AHC is strongly influenced by sharp features in the Berry curvature of the pristine crystal [8][9][10].…”

Section: Introductionmentioning

confidence: 99%

How disorder affects the Berry-phase anomalous Hall conductivity: A reciprocal-space analysis

2014

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The anomalous Hall conductivity of "dirty" ferromagnetic metals is dominated by a Berry-phase contribution which is usually interpreted as an intrinsic property of the Bloch electrons in the pristine crystal. In this work we evaluate the geometric Hall current directly from the electronic ground state with disorder and then recast it as an integral over the crystalline Brillouin zone. The integrand is an effective k-space Berry curvature, obtained by unfolding the Berry curvature from the small Brillouin zone of a large supercell. Therein, disorder yields a net extrinsic Hall contribution, which we argue is related to the elusive side-jump effect. As an example, we unfold the first-principles Berry curvature of an ordered Fe 3 Co alloy from the original fcc-lattice Brillouin zone onto a bcc-lattice zone with four times the volume. Comparison with the virtual-crystal Berry curvature clearly reveals the symmetry-breaking effects of the substitutional Co atoms.

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First Principles Calculation of Anomalous Hall Conductivity in Ferromagnetic bcc Fe

Cited by 862 publications

References 30 publications

Anisotropic intrinsic anomalous Hall effect in ordered3dPt alloys

Anisotropic intrinsic anomalous Hall effect in ordered3dPt alloys

Anomalous Hall effect in Fe (001) epitaxial thin films over a wide range in conductivity

How disorder affects the Berry-phase anomalous Hall conductivity: A reciprocal-space analysis

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