Theory of chiral effects in magnetic textures with spin-orbit coupling

Akosa, Collins Ashu; Takeuchi, Akihito; Yuan, Zhe; Tatara, Gen

doi:10.1103/physrevb.98.184424

Cited by 10 publications

(11 citation statements)

References 36 publications

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“…which has been reported elsewhere in the literature [28,30,31,34] as a correction to the effective magnetic field in the presence of SOC. The resulting Hall conductivity for small densities n < mJ/π is…”

Section: (B6)supporting

confidence: 70%

“…For the Rashba SOC considered here, the vorticity simplifies to ∼ dr ∇ r • m(r). This term has been discussed in the literature [27,28,30,31] as a O(λ) correction to the emergent magnetic field arising from skyrmions. Here this contribution arises not from SOC corrections to the real-space Berry curvature, but instead from mixed momentum and real space derivatives of the semi-classical eigenvalues.…”

Section: Modelmentioning

confidence: 99%

“…Theories of the anomalous and topological Hall effect have for the most part been distinct and, despite important recent progress [27][28][29][30][31][32][33] on electrons with SOC interacting with skyrmions, a single theory that incorporates both real and momentum space Berry curvature effects on an equal footing to calculate electronic transport has remained elusive. The experiments [10][11][12][13][14][15][16][17], on the other hand, are routinely interpreted as a sum of an anomalous and topological Hall resistivity, in addition to the ordinary Hall effect proportional to the magnetic field.…”

mentioning

confidence: 99%

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Unified Theory of the Anomalous and Topological Hall Effects with Phase Space Berry Curvatures

Verma¹,

Addison²,

Randeria³

2022

Preprint

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Hall experiments in chiral magnets are often analyzed as the sum of an anomalous Hall effect, dominated by momentum-space Berry curvature, and a topological Hall effect, arising from the realspace Berry curvature in the presence of skyrmions, in addition to the ordinary Hall resistivity. This raises the questions of how one can incorporate, on an equal footing, the effects of the anomalous velocity and the real space winding of the magnetization, and when such a decomposition of the resistivity is justified. We provide definitive answers to these questions by including the effects of all phase-space Berry curvatures in a semi-classical approach and by solving the Boltzmann equation in a weak spin-orbit coupling regime when the magnetization texture varies slowly on the scale of the mean free path. We show that the Hall resistivity is then just the sum of the anomalous and topological contributions, with negligible corrections from Berry curvature-independent and mixed curvature terms. We also use an exact Kubo formalism to numerically investigate the opposite limit of infinite mean path, and show that the results are similar to the semi-classical results.

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Section: (B6)supporting

confidence: 70%

Section: Modelmentioning

confidence: 99%

mentioning

confidence: 99%

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Unified Theory of the Anomalous and Topological Hall Effects with Phase Space Berry Curvatures

Verma¹,

Addison²,

Randeria³

2022

Preprint

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“…Indeed, recent studies showed that SOC induces additional fictitious electric field that manifests itself as spin-motive force 33,34 on the itinerant electrons and gives raise to charge current 35 and chiral damping. 36 However, the effect of the SOC-induced emergent magnetic field on the conduction electrons has more or less been overlooked.…”

Section: Introductionmentioning

confidence: 99%

Tuning the Skyrmion Hall Effect via Engineering of Spin-Orbit Interaction

Akosa

Tatara

et al. 2019

Phys. Rev. Applied

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We demonstrate that the Magnus force acting on magnetic skyrmions can be efficiently tuned via modulation of the spin-orbit interaction strength. We show that the skyrmion Hall effect, which is a direct consequence of the non-vanishing Magnus force on the magnetic structure can be suppressed in certain limits. Our calculations show that the emergent magnetic fields in the presence of spin-orbit coupling (SOC) renormalize the Lorentz force on itinerant electrons and thus influence the topological transport. In particular, we show that for a Néel-type skyrmion and Bloch-type antiskyrmion, the skyrmion Hall effect (SkHE) can vanish by tuning appropriately the strength of Rashba and Dresselhaus SOCs, respectively. Our results open up alternative directions to explore in a bid to overcome the parasitic and undesirable SkHE for spintronic applications. arXiv:1907.05196v1 [cond-mat.mes-hall]

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“…( 22). The most important ones for the case of a single adatom are 26) and (27). The SOC field points in the z-direction due to the C3v symmetry.…”

Section: Adatoms On Au(111)mentioning

confidence: 99%

Generalization of the Landau-Lifshitz-Gilbert equation by multi-body contributions to Gilbert damping for non-collinear magnets

Brinker,

Dias,

Lounis

2022

Preprint

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We propose a systematic and sequential expansion of the Landau-Lifshitz-Gilbert equation utilizing the dependence of the Gilbert damping tensor on the angle between magnetic moments, which arises from multi-body scattering processes. The tensor consists of a damping-like term and a correction to the gyromagnetic ratio. Based on electronic structure theory, both terms are shown to depend on e.g. the scalar, anisotropic, vector-chiral and scalar-chiral products of magnetic moments: ei • ej,.., where some terms are subjected to the spin-orbit field nij in first and second order. We explore the magnitude of the different contributions using both the Alexander-Anderson model and time-dependent density functional theory in magnetic adatoms and dimers deposited on Au(111) surface.

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Theory of chiral effects in magnetic textures with spin-orbit coupling

Cited by 10 publications

References 36 publications

Unified Theory of the Anomalous and Topological Hall Effects with Phase Space Berry Curvatures

Unified Theory of the Anomalous and Topological Hall Effects with Phase Space Berry Curvatures

Tuning the Skyrmion Hall Effect via Engineering of Spin-Orbit Interaction

Generalization of the Landau-Lifshitz-Gilbert equation by multi-body contributions to Gilbert damping for non-collinear magnets

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