The theory of transport in helical spin-structure crystals

Zadorozhnyi, Andrei; Dahnovsky, Yuri

doi:10.1088/1361-648x/ac9d7c

The theory of transport in helical spin-structure crystals

Journal Article · 03 November 2022 · Journal of Physics. Condensed Matter

DOI:https://doi.org/10.1088/1361-648x/ac9d7c· OSTI ID:2421417

Zadorozhnyi, Andrei ^[1];

OSTI

Abstract

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 potentialµ. 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 $M n P$ single crystal. In addition, we predict that the perpendicular resistivity abruptly drops to zero in the ferromagnetic phase.

Research Organization:: Univ. of Wyoming, Laramie, WY (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

DOE Contract Number:: SC0020074;

OSTI ID:: 2421417

Journal Information:: Journal of Physics. Condensed Matter, Journal Name: Journal of Physics. Condensed Matter Journal Issue: 1 Vol. 35; ISSN 0953-8984

Publisher:: IOP Publishing

Country of Publication:: United States

Language:: English

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