Chiral anomalous Hall effect in reentrant AuFe alloys

Fabris, Frederik Wolff; Pureur, P.; Schaf, J.; Vieira, Vera Beatriz Guirland; Campbell, I. A.

doi:10.1103/physrevb.74.214201

Cited by 37 publications

(26 citation statements)

References 38 publications

(64 reference statements)

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“…According to Eqs. (14), (15), ρ T yx and B T linearly depend on both the skyrmion sheet density n sk and the dimensionless scattering rates J ss . Therefore, the actual magnitude of B T is renormalized differently depending on the scattering regime.…”

Section: The Magnitude Of the Topological Hall Effectmentioning

confidence: 99%

General theory of the topological Hall effect in systems with chiral spin textures

et al. 2018

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We present a consistent theory of the topological Hall effect (THE) in 2D magnetic systems with disordered array of chiral spin textures, such as magnetic skyrmions. We focus on the scattering regime when the mean-free path of itinerant electrons exceeds the spin texture size, and THE arises from the asymmetric carrier scattering on individual chiral spin textures. We calculate the resistivity tensor on the basis of the Boltzmann kinetic equation taking into account the asymmetric scattering on skyrmions via the collision integral. Our theory describes both the adiabatic regime, when THE arises from a spin Hall effect and the non-adiabatic scattering when THE is due to purely charge transverse currents. We analyze the dependence of THE resistivity on a chiral spin texture structure, as well as on material parameters. We discuss the crossover between spin and charge regimes of THE driven by the increase of skyrmion size, the features of THE due to the variation of the Fermi energy, and the exchange interaction strength; we comment on the sign and magnitude of THE.

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Section: The Magnitude Of the Topological Hall Effectmentioning

confidence: 99%

General theory of the topological Hall effect in systems with chiral spin textures

et al. 2018

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“…The analysis of measurements of the AHE in a series of AuF e alloys demonstrates conclusively the presence of a strong AHE a contribution linked to local spin canting in addition to the standard intrinsic Kohn-Luttinger term 76,77,78) . The results provide clear experimental evidence which supports the theoretical predictions of a "chiral AHE" term in disordered systems possessing chiralty.…”

Section: )mentioning

confidence: 99%

Heisenberg Spin Glass Experiments and the Chiral Ordering Scenario

Campbell

Petit

2010

J. Phys. Soc. Jpn.

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An overview is given of experimental data on Heisenberg Spin Glass materials so as to make detailed comparisons with numerical results on model Heisenberg spin glasses, with particular reference to the chiral driven ordering transition scenario due to Kawamura and collaborators. On weak anisotropy systems, experiments show critical exponents which are very similar to those estimated numerically for the model Heisenberg chiral ordering transition but which are quite different from those at Ising spin glass transitions. Again on weak anisotropy Heisenberg spin glasses, experimental torque data show well defined in-field transverse ordering transitions up to strong applied fields, in contrast to Ising spin glasses where fields destroy ordering. When samples with stronger anisotropies are studied, critical and in-field behavior tend progressively towards the Ising limit. It can be concluded that the essential physics of laboratory Heisenberg spin glasses mirrors that of model Heisenberg spin glasses, where chiral ordering has been demonstrated numerically.

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“…10,23 It is shown to be proportional to the Hall resistivity caused by spin chirality or vortex and is thus identified with a back-reaction of the Hall effect due to spin chirality or the spin Berry phase. [24][25][26][27][28] This force acts on a vortex or vortex wall perpendicular to the current. The effect of this topological force is included in the conventional spin transfer torque term, in contrast to the nonlocal torque.…”

Section: /25mentioning

confidence: 99%

Spin Torque and Force due to Current for General Spin Textures

et al. 2007

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The nonadiabatic correction to spin transfer torque arising from fast-varying spin texture is calculated treating the conductions electron fully quantum mechanically. The torque is nonlocal in space, and is shown to be equivalent to a force (due to momentum transfer) acting on the center of mass of the texture. Another kind of force exists in the adiabatic regime, and it is identified to be of topological origin. These forces are shown to be the counter-reactions of electric transport properties, resistivity and the Hall effect.

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Chiral anomalous Hall effect in reentrant AuFe alloys

Cited by 37 publications

References 38 publications

General theory of the topological Hall effect in systems with chiral spin textures

General theory of the topological Hall effect in systems with chiral spin textures

Heisenberg Spin Glass Experiments and the Chiral Ordering Scenario

Spin Torque and Force due to Current for General Spin Textures

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