Anisotropy of the Hall effect in iron

Hirsch, A.A.; Weissman, Y.

doi:10.1016/0375-9601(73)90900-6

Cited by 10 publications

(14 citation statements)

References 2 publications

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“…A second phenomenon, for which multiple experimental studies of anisotropy exist [18,19,20,21,22,23,24,25], but no quantitative theoretical argumentation for its emergence had been presented until recently [17], is the anomalous Hall effect [36,37,38]. The essence of the AHE in a ferromagnet lies in the generation of a charge current J H transverse to the electric : an electron with a certain direction of spin, injected into a solid which exhibits anisotropic spin-relaxation will lose the memory of its initial spin polarization over a period of time, which depends on the direction of the spin-polarization in real space (z or x, red and blue arrows correspondingly).…”

Section: Anomalous Hall Effect In Ferromagnetsmentioning

confidence: 99%

“…Experimentally, the − sometimes strong − anisotropy of the anomalous Hall effect in metals is a rather well-known phenomenon: see, e.g., experimental data for bcc Fe [18], fcc Ni [19,20], hcp Gd [21], as well as FeCr 2 S 4 [22], Yb 14 MnSb 11 [23], Y 2 Fe 17−x Co x [24] and R 2 Fe 17 (R = Y, Tb, Gd) [25]. Theoretically, the first argumentation for a strongly anisotropic behavior of the AHC in transition metals was provided by Roman et al [17].…”

Section: Anisotropy Of Intrinsic Anomalous Hall Effect In Metallic Fementioning

confidence: 99%

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Anisotropy of spin relaxation and transverse transport in metals

Mokrousov

Zhang

Freimuth

et al. 2013

J. Phys.: Condens. Matter

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Using first principles methods we explore the anisotropy of the spin relaxation and transverse transport properties in bulk metals with respect to the direction of the spin quantization axis in paramagnets or of the spontaneous magnetization in ferromagnets. Owing to the presence of the spin-orbit interaction the orbital and spin character of the Bloch states depends sensitively on the orientation of the spins relative to the crystal axes. This leads to drastic changes in quantities which rely on interband mixing induced by the spin-orbit interaction. The anisotropy is particularly striking for quantities which exhibit spiky and irregular distribution in the Brillouin zone, such as the spin-mixing parameter or the Berry curvature of the electronic states. We demonstrate this for three cases: (i) the Elliott-Yafet spin-relaxation mechanism in paramagnets with structural inversion symmetry; (ii) the intrinsic anomalous Hall effect in ferromagnets; and (iii) the spin Hall effect in paramagnets. We discuss the consequences of the pronounced anisotropic behavior displayed by these properties for spin-polarized transport applications.

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Section: Anomalous Hall Effect In Ferromagnetsmentioning

confidence: 99%

Section: Anisotropy Of Intrinsic Anomalous Hall Effect In Metallic Fementioning

confidence: 99%

Anisotropy of spin relaxation and transverse transport in metals

Mokrousov

Zhang

Freimuth

et al. 2013

J. Phys.: Condens. Matter

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“…14,16,17 In the case of the AHE, the presence of the magnetization M in a ferromagnet leads to a strong dependence of the components of the conductivity tensor on the magnetization direction in the sample. Although experimentally, anisotropic AHE has been observed in many materials, e.g., bcc Fe, 18 fcc Ni, 19,20 hcp Gd, 21 24 and R 2 Fe 17 (R = Y, Tb, Gd), 25 only two studies of the anisotropy of the AHE from first principles have been performed so far. Roman et al 14 considered the anisotropic AHE in uniaxial hcp Co, calculated the ratio of the AHCs for the out-of-plane and in-plane magnetization, σ z and σ x , respectively, and found it to be as large as four, which is close to the experimentally observed ratio.…”

Section: Introductionmentioning

confidence: 99%

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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“…43 Hirsch was a puzzle for his contemporaries and has remained so for later scholars seeking to unravel the complex components of his personality.…”

Section: Robert Liberlesmentioning

confidence: 99%

“…Whatever the initial reactions of the participants may have been to the attempts of the Reformers to interfere with the curriculum of the Talmud Torah School and to the appointment of a traditional rabbi for the Hamburg community, the successful outcome of the Orthodox efforts would not indicate the sense of despair and impotence described by Hirsch. 43 In the second letter, Hirsch even implied that he was an autodidact: ". 40 While we do possess some information on Hirsch's secular education, his Jewish education has remained somewhat of a puzzle.…”

Section: The Letter Appeared In English Inmentioning

confidence: 99%

Champion of Orthodoxy: The Emergence of Samson Raphael Hirsch as Religious Leader

Liberles

1981

AJS Rev.

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When the second generation proponents of Reform in Germany initiated a wave of intellectual, liturgical, and communal activity in the mid-1830s, Samson Raphael Hirsch immediately appeared on the scene as defender of the Jewish legal tradition. While Michael Creizenach's Schulchan Aruch was initiated in 1833 and Abraham Geiger introduced his Wissenschaftliche Zeitschrift fuer juedische Theologie in 1835, Hirsch's first book, The Nineteen Letters of Ben Uziel, appeared as early as 1836, and his precocious response left little doubt that he was to be Orthodoxy's champion in the strife just beginning.

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Anisotropy of the Hall effect in iron

Cited by 10 publications

References 2 publications

Anisotropy of spin relaxation and transverse transport in metals

Anisotropy of spin relaxation and transverse transport in metals

Anisotropic intrinsic anomalous Hall effect in ordered3dPt alloys

Champion of Orthodoxy: The Emergence of Samson Raphael Hirsch as Religious Leader

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