Calculation of Leggett–Takagi Relaxation in Vortices of Superfluid $$^{3}$$ 3 He-B

Laine, Sami; Thuneberg, E. V.

doi:10.1007/s10909-016-1516-x

Cited by 1 publication

(6 citation statements)

References 11 publications

(36 reference statements)

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“…Both the present model of spin wave radiation and the Leggett-Takagi relaxation calculated in Ref. [7] give absorption that is quadratic in the coefficient C 1 and C 2 . These coefficients are solely determined by the structure of the vortex core.…”

Section: Comparison With Experimentsmentioning

confidence: 58%

“…This mechanism seems to be most effective at temperatures close to the transition temperature T c . We find [7] that the Leggett-Takagi relaxation is too weak to explain the relaxation observed by Kondo et al Another well known relaxation mechanism arises from diffusion of the normal component of the * sami.laine@oulu.fi magnetization. It seems, however, that its contribution has to be small in the experiments by Kondo et al since the observed magnetic field dependence [5] is opposite to the one expected for spin diffusion.…”

Section: Introductionmentioning

confidence: 60%

“…Note that since we have assumed C 2 = 0 for the doublecore vortex, theory predicts that the constant a 0 vanishes, which seems to be contrary to the experimental data. Similar problem appears with the Leggett-Takagi relaxation, which also has quadratic dependence on C 1 and C 2 [7].…”

Section: Comparison With Experimentsmentioning

confidence: 80%

“…The gradient energy dominates the dipole energy when the distance from the vortex core is much less than the dipole length ξ D = λ G2 /λ D . If we neglect the dipole energy, the solution describing an isolated vortex is θ = θ v , where [7,8]…”

Section: Static Vortexmentioning

confidence: 99%

“…[4] and [5]. We include only the dissipation by spin wave radiation in the quantitative comparisons, although we know that the Leggett-Takagi relaxation also contributes [7]. For simplicity, we use the isotropic approximation.…”

Section: Comparison With Experimentsmentioning

confidence: 99%

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Spin-wave radiation from vortices in 3He−B

Laine

Thuneberg

2018

Phys. Rev. B

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We consider a vortex line in the B phase of superfluid 3 He under uniformly precessing magnetization. The magnetization exerts torque on the vortex, causing its order parameter to oscillate. These oscillations generate spin waves, which is analogous to an oscillating charge generating electromagnetic radiation. The spin waves carry energy, causing dissipation in the system. Solving the equations of spin dynamics, we calculate the energy dissipation caused by spin wave radiation for arbitrary tipping angles of the magnetization and directions of the magnetic field, and for both vortex types of 3 He-B. For the double-core vortex we also consider the anisotropy of the radiation and the dependence of the dissipation on twisting of the half cores. The radiated energy is compared with experiments in the mid-temperature range T ∼ 0.5Tc. The dependence of the calculated dissipation on several parameters is in good agreement with the experiments. Combined with numerically calculated vortex structure, the radiation theory produces the order of magnitude of the experimental dissipation. The agreement with the experiments indicates that spin wave radiation is the dominant dissipation mechanism for vortices in superfluid 3 He-B in the mid-temperature range. arXiv:1809.10484v1 [cond-mat.supr-con]

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Section: Comparison With Experimentsmentioning

confidence: 58%

Section: Introductionmentioning

confidence: 60%

Section: Comparison With Experimentsmentioning

confidence: 80%

Section: Static Vortexmentioning

confidence: 99%