Chiral response of spin-spiral states as the origin of chiral transport fingerprints of spin textures

Jonathan, Kipp,; Lux, Fabian R.; Mokrousov, Yuriy

doi:10.1103/physrevresearch.3.043155

Cited by 4 publications

(4 citation statements)

References 35 publications

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“…For electron wavefunctions, we select the adiabatic basis set determined by equation (13). Expression (A.22) allows the transitions between the bands (ν ̸ = ν ′ ).…”

Section: Discussionmentioning

confidence: 99%

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The theory of transport in helical spin-structure crystals

Zadorozhnyi¹,

Dahnovsky²

2022

J. Phys.: Condens. Matter

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We study helical structures in spin-spiral single crystals. In the continuum approach for the helicity potential energy the simple electronic band splits into two non-parabolic bands. For low exchange integrals, the lower band is described by a surface with a saddle shape in the direction of the helicity axis. Using the Boltzmann equation with the relaxation due to acoustic phonons, we discover the dependence of the current on the angle between the electric field and helicity axis leading to the both parallel and perpendicular to the electric field components in the electroconductivity. The latter can be interpreted as a planar Hall effect. In addition, we find that the transition rates depend on an electron spin allowing the transition between the bands. The electric conductivities exhibit nonlinear behaviors with respect to chemical potential μ. We explain this effect as the interference of the band anisotropy, spin conservation, and interband transitions. The proposed theory with the spherical model in the effective mass approximation for conduction electrons can elucidate nonlinear dependencies that can be identified in experiments. We find the excellent agreement between the theoretical and experimental data for parallel resistivity depending on temperature at the phase transition from helical to ferromagnetic state in a MnP single crystal. In addition, we predict that the perpendicular resistivity abruptly drops to zero in the ferromagnetic phase.

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“…For electron wavefunctions, we select the adiabatic basis set determined by equation (13). Expression (A.22) allows the transitions between the bands (ν ̸ = ν ′ ).…”

Section: Discussionmentioning

confidence: 99%

“…The helicity period of the localized spin rotation about the z-axis is 2π/κ. The discreet helicity potential in the tight binding approximation for the conduction electrons was considered in [13]. To explain experimental data, Hamiltonian (1) may not be sufficient.…”

Section: Introductionmentioning

confidence: 99%

The theory of transport in helical spin-structure crystals

Zadorozhnyi¹,

Dahnovsky²

2022

J. Phys.: Condens. Matter

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show abstract

“…One of suggested guiding principles in keeping a systematic overarching counting of possible contributions to the AHE in a system which undergoes drastic changes in its magnetic configuration lies in a symmetry expansion of the anomalous Hall conductivity in terms of products of spins on different atomic sites of arbitrary power [11]. This approach has been applied in the past to the case of a bipartite lattice, demonstrating that it is possible to conceptually separate the AHE in systems with two spins into chiral and crystal contributions [12,13], which collect different powers of the spin expansion. Demonstrating the intricate physics that lies behind this decomposition, it was in particular shown that the corresponding chiral Hall effect (CHE) intertwines together the Berry phases of Bloch electrons in real and reciprocal spaces [6].…”

Section: Introductionmentioning

confidence: 99%

Machine learning inspired models for Hall effects in non-collinear magnets

Kipp,

Lux,

Pürling

et al. 2024

Mach. Learn.: Sci. Technol.

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The anomalous Hall effect has been front and center in solid state research and material science for over a century now, and the complex transport phenomena in nontrivial magnetic textures have gained an increasing amount of attention, both in theoretical and experimental studies. However, a clear path forward to capturing the inﬂuence of magnetization dynamics on anomalous Hall effect even in smallest frustrated magnets or spatially extended magnetic textures is still intensively sought after. In this work, we present an expansion of the anomalous Hall tensor into symmetrically invariant objects, encoding the magnetic conﬁguration up to arbitrary power of spin. We show that these symmetric invariants can be utilized in conjunction with advanced regularization techniques in order to build models for the electric transport in magnetic textures which are, on one hand, complete with respect to the point group symmetry of the underlying lattice, and on the other hand, depend on a minimal number of order parameters only. Here, using a four-band tight-binding model on a honeycomb lattice, we demonstrate that the developed method can be used to address the importance and properties of higher-order contributions to transverse transport. The efﬁciency and breadth enabled by this method provides an ideal systematic approach to tackle the inherent complexity of response properties of noncollinear magnets, paving the way to the exploration of electric transport in intrinsically frustrated magnets as well as large-scale magnetic textures.

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“…The discreet helicity potential in the tight binding approximation for the conduction electrons was considered in Ref. 13 . To explain experimental data,…”

Section: Introductionmentioning

confidence: 99%

The theory of transport in helical spin-structure crystals

Zadorozhnyi¹,

Dahnovsky²

2022

Preprint

View full text Add to dashboard Cite

We study helical structures in spin-spiral single crystals. In the continuum approach for the helicity potential energy the simple electronic band splits into two non-parabolic bands. For ε hel greater than the splitting between the bands, the lower band is described by a surface with a saddle shape in the direction of the helicity axis. Using the Boltzmann equation with the relaxation due to acoustic phonons, we discover the dependence of the current on the angle between the electric field and helicity axis leading to the both parallel and perpendicular to the electric field components in the electroconductivity. In addition, we find that the transition rates depend on an electron spin allowing the transition between the bands. The electric conductivities exhibit nonlinear behaviors with respect to chemical potential µ. We explain this effect as the interference of the band anisotropy, spin conservation, and interband transitions. The proposed theory with the spherical model in the effective mass approximation for conduction electrons can elucidate nonlinear dependencies that can be identified in experiments. There is the excellent agreement between the theoretical and experimental data for parallel resistivity depending on temperature at the phase transition from helical to ferromagnetic state in a MnP single crystal. In addition, we predict that the perpendicular resistivity abruptly drops to zero in the ferromagnetic phase.

show abstract

Chiral response of spin-spiral states as the origin of chiral transport fingerprints of spin textures

Cited by 4 publications

References 35 publications

The theory of transport in helical spin-structure crystals

The theory of transport in helical spin-structure crystals

Machine learning inspired models for Hall effects in non-collinear magnets

The theory of transport in helical spin-structure crystals

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