Magnetic Snell's law and spin-wave fiber with Dzyaloshinskii-Moriya interaction

Yu, Weichao; Lan, Jiong; Wu, Ruqian; Xiao, Jiang

doi:10.1103/physrevb.94.140410

Cited by 69 publications

(65 citation statements)

References 33 publications

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“…In contrast to the refraction at domain walls of Ref. 23, there is no symmetry between the shifts in k-space in the left and right region in our case of a DMI interface. Furthermore, in our generalized Snell's law, k (1) 0 and k (2) 0 do not only depend on the DMI strengths, but can also be positioned in k space at will by tuning the direction and magnitude of the in-plane bias field.…”

Section: A a Generalized Snell's Lawcontrasting

confidence: 82%

Tunable Snell's law for spin waves in heterochiral magnetic films

2018

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Thin ferromagnetic films with an interfacially-induced Dzyaloshinskii-Moriya interaction (DMI) exhibit non-trivial asymmetric dispersion relations that lead to unique and useful magnonic properties. Here we derive an analytical expression for the magnon propagation angle within the micromagnetic framework and show how the dispersion relation can be approximated with a comprehensible geometrical interpretation in the k-space of the propagation of spin waves. We further explore the refraction of spin waves at DMI interfaces in heterochiral magnetic films, after deriving a generalized Snell's law tunable by an in-plane magnetic field, that yields analytical expressions for critical incident angles. The found asymmetric Brewster angles at interfaces of regions with different DMI strengths, adjustable by magnetic field, support the conclusion that heterochiral ferromagnetic structures are an ideal platform for versatile spin-wave guides.

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Section: A a Generalized Snell's Lawcontrasting

confidence: 82%

Tunable Snell's law for spin waves in heterochiral magnetic films

2018

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“…The DMI also causes the nonreciprocal spin-wave propagation [24][25][26], which is widely used to estimate the strength of DMI [27][28][29][30][31]. Recent works found that the DMI effect on the spin-wave propagation can also result in unidirectional caustic beams [32], spin-wave diodes [33], and spin-wave fibers [34], opening rich spin-wave physics and wide applications in functional devices based on spin waves.…”

Section: Introductionmentioning

confidence: 99%

Spin-wave propagation in the presence of inhomogeneous Dzyaloshinskii-Moriya interactions

et al. 2017

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We theoretically investigate spin-wave propagation through a magnetic metamaterial with spatially modulated Dzyaloshinskii-Moriya interaction. We establish an effective Schrödinger equation for spin waves and derive boundary conditions for spin waves passing through the boundary between two regions having different Dzyaloshinskii-Moriya interactions. Based on these boundary conditions, we find that the spin wave can be amplified at the boundary and the spin-wave band gap is tunable either by an external magnetic field or the strength of Dzyaloshinskii-Moriya interaction, which offers a spin-wave analog of the field-effect transistor in traditional electronics.

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“…The asymmetry gives rise to unconventional magnon propagation such as the modified Snell's law. 33 Note that the asymmetry only appears in k z along the field direction, while the dispersion with respect to k x and k y remain symmetric. Therefore for a thin film with a normal magnetic field, the magnon dispersion is symmetric with respect to the arXiv:1901.03812v2 [cond-mat.mtrl-sci] 16 Apr 2019…”

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confidence: 98%

Kelvin modes of a skyrmion line in chiral magnets and the associated magnon transport

2019

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Magnetic skyrmions in bulk crystals are line-like topologically protected spin textures. They allow for the propagation of magnons along the skyrmion line but are localized inside the skyrmion line. Analogous to the vortex line, these propagating modes are the Kelvin modes of a skyrmion line. In crystals without an inversion center, it is known that the magnon dispersion in the ferromagnetic state is asymmetric in the wavevector. It is natural to expect that the dispersion of the Kelvin modes is also asymmetric with respect to the wavevector. We study the Kelvin modes of a skyrmion line in the ferromagnetic background. In contrast, we find that the lowest Kelvin mode is symmetric in the wavevector in the low energy region despite the inversion symmetry breaking. Other Kelvin modes below the magnon continuum are asymmetric, and most of them have a positive group velocity. Our results suggest that a skyrmion line can function as a one-way waveguide for magnons.Lord Kelvin calculated stable propagating wave modes along a straight vortex tube of uniform vorticity in a classical fluid about 130 years ago. 1 These modes were later called Kelvin modes. The Kelvin modes in quantized vortex lines were subsequently studied 2,3 and observed experimentally 4 in quantum superfluids. The spectrum of the Kelvin modes in the long wavelength limit is ω = 2 k 2 2m ln(1/kξ), where m is the mass of a particle in the superfluid, k is the momentum, and ξ is the healing length.

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Magnetic Snell's law and spin-wave fiber with Dzyaloshinskii-Moriya interaction

Cited by 69 publications

References 33 publications

Tunable Snell's law for spin waves in heterochiral magnetic films

Tunable Snell's law for spin waves in heterochiral magnetic films

Spin-wave propagation in the presence of inhomogeneous Dzyaloshinskii-Moriya interactions

Kelvin modes of a skyrmion line in chiral magnets and the associated magnon transport

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