Stability of a skyrmion and interaction of magnons

Aristov, D. N.; Matveeva, Polina

doi:10.1103/physrevb.94.214425

Cited by 19 publications

(16 citation statements)

References 22 publications

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“…This X junction was modeled by 4×4 S matrix since there are two spin channels in unpolarized case. It was shown that a certain ratio of the conductances is not renormalized, see equation (26) in 41 . Applying the above arguments to the situation with X-junction, we confirm that the discussed ratio corresponds to the angle between the quantization axes for helical edge states and the tip (the quantity −2γ in 41 is the above Euler angle β).…”

Section: Discussionmentioning

confidence: 99%

“…The results were used for the RG analysis of Y-junction 37-39 and generalized to arbitrary number of wires 40 . The contact of two helical TLL and tunneling from unpolarized spinful wire into the helical edge state were considered in 41 . The agreement between bosonization and fermionic approaches has been obtained when the comparison was available.…”

Section: Introductionmentioning

confidence: 99%

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Spin-polarized tunneling into helical edge states: Asymmetry and conductances

Aristov¹,

Niyazov²

2017

EPL

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We consider tunneling from the spin-polarized tip into the Luttinger liquid edge state of quantum spin Hall system. This problem arose in context of the spin and charge fractionalization of an injected electron. Renormalization of the dc conductances of the system is calculated in the fermionic approach and scattering states formalism. In lowest order of tunneling amplitude we confirm previous results for the scaling dependence of conductances. Going beyond the lowest order we show that interaction affects not only the total tunneling rate, but also the asymmetry of the injected current. The helical edge state forbids the backscattering, which leads to the possibility of two stable fixed points in renormalization group sense, in contrast to the Y-junction between the usual quantum wires.

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Section: Discussionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Spin-polarized tunneling into helical edge states: Asymmetry and conductances

Aristov¹,

Niyazov²

2017

EPL

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“…In homogeneous ferromagnets without external magnetic fields, the lowest-order nonlinear process by these two interactions is the four-magnon scattering 18 . However, three-magnon procsses can occur in arXiv:1711.07615v2 [cond-mat.mes-hall] 20 Mar 2018 magnetic textures such as the skyrmion without the dipolar interaction 19 . Here, we consider three-magnon effect arising in the domain-wall nano-channel (shown in Fig.…”

Section: Introductionmentioning

confidence: 99%

Eavesdropping on spin waves inside the domain-wall nanochannel via three-magnon processes

et al. 2018

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One recent breakthrough in the field of magnonics is the experimental realization of reconfigurable spin-wave nanochannels formed by magnetic domain wall with a width of 10 − 100 nm [Wagner et al., Nat. Nano. 11, 432 (2016)]. This remarkable progress enables an energy-efficient spin-wave propagation with a well-defined wave vector along its propagating path inside the wall. In the mentioned experiment, a micro-focus Brillouin light scattering spectroscopy was taken in a line-scans manner to measure the frequency of the bounded spin wave. Due to their localization nature, the confined spin waves can hardly be detected from outside the wall channel, which guarantees the information security to some extent. In this work, we theoretically propose a scheme to detect/eavesdrop on the spin waves inside the domain-wall nanochannel via nonlinear three-magnon processes. We send a spin wave (ω i , k i ) in one magnetic domain to interact with the bounded mode (ω b , k b ) in the wall, where k b is parallel with the domain-wall channel defined as theẑ axis. Two kinds of threemagnon processes, i.e., confluence and splitting, are expected to occur. The confluence process is conventional: conservation of energy and momentum parallel with the wall indicates a transmitted wave in the opposite domain with ω(k) = ω i + ω b and (k i + k b − k) ·ẑ = 0, while the momentum perpendicular to the domain wall is not necessary to be conserved due to the non-uniform internal field near the wall. We predict a stimulated threemagnon splitting (or "magnon laser") effect: the presence of a bound magnon propagating along the domain wall channel assists the splitting of the incident wave into two modes, one is ω 1 = ω b , k 1 = k b identical to the bound mode in the channel, and the other one is ω 2 = ω i − ω b with (k i − k b − k 2 ) ·ẑ = 0 propagating in the opposite magnetic domain. Micromagnetic simulations confirm our theoretical analysis. These results demonstrate that one is able to uniquely infer the spectrum of the spin-wave in the domain-wall nanochannel once we know both the injection and the transmitted waves.

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“…In general, the three-magnon process is triggered by the weak nonlocal magnetic dipole-dipole interaction in uniform ferromagnets [34]. It can also occur in magnetic textures such as skyrmions [35] and domain walls [33] without the dipolar interaction. Here, we consider another three-magnon effect induced by the DMI in uniform ferromagnets.…”

Section: Introductionmentioning

confidence: 99%

Probing the Dzyaloshinskii-Moriya Interaction via the Propagation of Spin Waves in Ferromagnetic Thin Films

et al. 2018

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The Dzyaloshinskii-Moriya interaction (DMI) has attracted considerable recent attention owing to the intriguing physics behind and the fundamental role it played in stabilizing magnetic solitons, such as magnetic skyrmions and chiral domain walls. A number of experimental efforts have been devoted to probe the DMI, among which the most popular method is the Brillouin light scattering spectroscopy (BLS) to measure the frequency difference of spin waves with opposite wave vectors ±k perpendicular to the in-plane magnetization m. Such a technique, however, is not applicable for the cases of k m, since the spin-wave reciprocity is recovered then. For a narrow magnetic strip, it is also difficult to measure the DMI strength using BLS because of the spatial resolution limit of lights. To fill these gaps, we propose to probe the DMI via the propagation of spin waves in ferromagnetic films. We show that the DMI can cause the non-collinearity of the group velocities of spin waves with ±k m. In heterogeneous magnetic thin films with different DMIs, negative refractions of spin waves emerge at the interface under proper conditions. These findings enable us to quantify the DMI strength by measuring the angle between the two spin-wave beams with ±k m in homogeneous film and by measuring the incident and negative refraction angles in heterogeneous films. For a narrow magnetic strip, we propose a nonlocal scheme to determine the DMI strength via nonlinear three-magnon processes. We implement theoretical calculations and micromagnetic simulations to verify our ideas. The results presented here are helpful for future measurement of the DMI and for designing novel spin-wave spintronic devices. arXiv:1807.04025v2 [cond-mat.mes-hall]

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Stability of a skyrmion and interaction of magnons

Cited by 19 publications

References 22 publications

Spin-polarized tunneling into helical edge states: Asymmetry and conductances

Spin-polarized tunneling into helical edge states: Asymmetry and conductances

Eavesdropping on spin waves inside the domain-wall nanochannel via three-magnon processes

Probing the Dzyaloshinskii-Moriya Interaction via the Propagation of Spin Waves in Ferromagnetic Thin Films

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