Rotating Superfluid 3He-A in Parallel-Plate Geometry

Yamashita, Minoru; Izumina, K.; Matsubara, Atsushi; Sasaki, Yutaka; Ishikawa, Osamu; Takagi, Toshimi; Kubota, Minoru; Mizusaki, T.

doi:10.1063/1.2354661

Cited by 5 publications

(11 citation statements)

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“…The present work is motivated by the recent experiment by Yamashita et al 1 We consider the superfluid 1 In particular, while Ω c weakly depends on the temperature and the magnetic field strength, both the satellite frequency and the satellite intensity are almost independent of the field strength and temperature.…”

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confidence: 99%

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Half quantum vortex in superfluid ³ He-A phase in parallel-plate geometry

Maki

2007

Europhys. Lett.

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The half quantum vortex(HQV) in condensate has been studied, since it was predicted by Salomaa and Volovik in superfluid 3 He-A phase. However, an experimental evidence for its existence has not been reported so far. Motivated by a recent experimental report by Yamashita et al 1 , we study the HQVs in superfluid 3 He confined between two parallel plates with a gap D ∼ 10 µm in the presence of a magnetic field H ∼ 26 mT perpendicular to the parallel plates. We find that the bound HQVs are more stable than the singular vortices and free pairs of HQVs, when the rotation perpendicular to the parallel plates is below the critical speed, Ωc ∼ 2 rad/s. The bound pair of HQVs accompanies the tilting ofd-vector out of the plane, which leads to an additional absorption in NMR spectra. Our study appears to describe the temperature and rotation dependence of the observed satellite NMR signal, which supports the existence of the HQVs in 3 He.

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“…The present work is motivated by the recent experiment by Yamashita et al [16]. We consider the superfluid 3 He-A confined between the two parallel plates with the gap D ∼ ξ D , where the rotation axis and the magnetic field are perpendicular to the parallel plates.…”

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Half quantum vortex in superfluid ³ He-A phase in parallel-plate geometry

Maki

2007

Europhys. Lett.

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“…Recently, Yamashita, et al 29) have performed an ex- * E-mail address: kawakami@mp.okayama-u.ac.jp periment intended to observe HQVs in superfluid 3 He-A in parallel plate geometry. The superfluid is confined in a cylindrical region with the radius R = 1.5 mm and the height 12.5 µm sandwiched by parallel plates.…”

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confidence: 99%

“…Tokyo, capable for the maximum rotation speed ∼12 rad/sec, but there is no evidence for the existence of the HQV. 29) The aims in this paper are to investigate the possible vortex structures which can accommodate the Majorana particle in the core under the above realistic experimental situations at ISSP for superfluid 3 He-A phase confined in the parallel plates. The candidate vortex structures in this situation are either the singular vortex (SV) with odd winging number or HQVs mentioned above.…”

Section: Introductionmentioning

confidence: 99%

“…Note that the external field is necessary for performing NMR detection. 29) The arrangement of the paper is as follows: In §2 we examine the possible order parameters and its spatial structures, or textures. By utilizing general symmetry properties of the superfluid 3 He-A phase, we demonstrate that the SV with odd winding number even in the spinful situation can accommodate the Majorana zero mode in…”

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confidence: 99%

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Singular and Half-Quantum Vortices and Associated Majorana Particles in Superfluid³He-A between Parallel Plates

Kawakami¹,

Machida²

2010

J. Phys. Soc. Jpn.

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Motivated by a recent experiment on superfluid 3 He-A confined in narrow parallel plates using a rotating cryostat, we explore possible vortices stable under magnetic field applied to arbitrary angle relative to the plates in order to seek vortices which can accommodate the Majorana zero mode in the core. After proving that the singular vortex with the unit winding number provides the Majorana mode in the spinful situation, we establish the phase diagram in the plane; the rotation frequency Ω vs system size R by finding possible order parameter textures within the Ginzburg-Landau framework. We also analyze the stability for a single and a pair of half-quantum vortices, which possesses the Majorana mode in its core. It is concluded from the above mention that the Majorana zero mode can be found in the present on-going experimental setting at ISSP, Univ. Tokyo.

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Texture and Vortex of Rotating Superfluid 3He-A in Parallel-plate Geometry

et al. 2009

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Unique types of textures and vortices of superfluid 3 He in restricted geometries have been discussed. We investigated cw-NMR in rotating 3 He A-phase in parallel plate geometries with gaps of 12.5 µm at 3.05 MPa. We observed a very sharp spectrum at rest which had shifted negatively as f = f L-0.93 f A (T), where f A (T) is the full transverse dipole shift in A-phase. The large negative shift of 0.93 f A (T) indicates that l d. When we rotated the sample with rotation speed Ω faster than the critical Ω Fr , a new satellite signal appeared nearly at f L. The satellite signal intensity increased with increasing Ω, reached a maximum at Ω c and slowly decreased up to the maximum Ω of 2π rad/s. When Ω decreased from the maximum speed, the satellite signal rapidly decreased and disappeared at 5.5 rad/s down to zero rad/s. We measured the temperature dependence of the satellite signal intensity, Ω Fr and Ω c. We propose a model for the satellite signal, which is attributed to spin wave in Fréedericksz transition region induced by the counter flow. We also compare the satellite signal with Kee and Maki's bound pair of HQV.

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Rotating Superfluid 3He-A in Parallel-Plate Geometry

Cited by 5 publications

References 1 publication

Half quantum vortex in superfluid ³ He-A phase in parallel-plate geometry

Half quantum vortex in superfluid ³ He-A phase in parallel-plate geometry

Singular and Half-Quantum Vortices and Associated Majorana Particles in Superfluid³He-A between Parallel Plates

Texture and Vortex of Rotating Superfluid 3He-A in Parallel-plate Geometry

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Rotating Superfluid 3He-A in Parallel-Plate Geometry

Cited by 5 publications

References 1 publication

Half quantum vortex in superfluid 3 He-A phase in parallel-plate geometry

Half quantum vortex in superfluid 3 He-A phase in parallel-plate geometry

Singular and Half-Quantum Vortices and Associated Majorana Particles in Superfluid3He-A between Parallel Plates

Texture and Vortex of Rotating Superfluid 3He-A in Parallel-plate Geometry

Contact Info

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Half quantum vortex in superfluid ³ He-A phase in parallel-plate geometry

Half quantum vortex in superfluid ³ He-A phase in parallel-plate geometry

Singular and Half-Quantum Vortices and Associated Majorana Particles in Superfluid³He-A between Parallel Plates