Textures and NMR spectra of a superfluid 3He-A phase confined in rotating narrow cylinders

Takagi, Toshimi

doi:10.1016/j.jpcs.2005.05.010

Cited by 4 publications

(2 citation statements)

References 8 publications

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“…Thus the following calculation is consistent with those by Takagi. 23) Those successive transitions are absent in R = 50µm sample because the estimated critical Ω for CUV exceeds the maximum rotation speed 11.5rad/sec in the rotating cryostat in ISSP.…”

Section: Introductionmentioning

confidence: 99%

Singular Vortex in Narrow Cylinders of Superfluid ³He-A Phase

Machida

2009

J. Phys. Soc. Jpn.

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Motivated by the on-going rotating cryostat experiments in ISSP, Univ. of Tokyo, we explore the textures and vortices in superfluid 3 He-A phase confined in narrow cylinders, whose radii are R=50µm and 115 µm. The calculations are based on the Ginzburg-Landau (GL) framework, which fully takes into account the orbital ( l-vector) and spin ( d-vector) degrees of freedom for chiral p-wave pairing superfluid. The GL free energy functional is solved numerically by using best known GL parameters appropriate for the actual experimental situations at P =3.2MPa and H=21.6mT. We identify the ground state l-vector configuration as radial disgyration (RD) texture with the polar core both at rest and low rotations and associated d-vector textures for both narrow cylinder systems under high magnetic fields. The RD which has a singularity at center, changes into Mermin-Ho texture above the critical rotation speed which is determined precisely, providing an experimental check for own proposal.

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Section: Introductionmentioning

confidence: 99%

Singular Vortex in Narrow Cylinders of Superfluid ³He-A Phase

Machida

2009

J. Phys. Soc. Jpn.

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“…In the core of a Mermin-Ho vortex, the l vectors rotate out of the plane, covering exactly half of a unit sphere. Single Mermin-Ho vortices are observed in narrow cylinders [27] where they are stabilized by the effect of the container walls on the orientation of l.…”

Section: Continuous Vorticesmentioning

confidence: 99%

Transition in vortex skyrmion structures in superfluid He3−A driven by an analog of the zero-charge effect

Rantanen

Eltsov

2023

Phys. Rev. B

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In quantum electrodynamics, the zero-charge effect originates from the logarithmic dependence of the coupling constant in the action of the electromagnetic field on the ratio of the ultraviolet and infrared energy cutoffs. An analog of this effect in chiral Weyl superfluid 3 He-A is the logarithmic divergence of the bending energy of the orbital anisotropy axis at low temperatures, where temperature plays the role of the infrared cutoff, and the vector of the orbital anisotropy plays the role of the vector potential of the synthetic electromagnetic field for Weyl fermions. We calculate numerically the spatial distribution of the order parameter in rotating 3 He-A as a function of temperature. At temperatures close to the superfluid transition, we observe formation of vortex skyrmions known as the double-quantum vortex and the vortex sheet. These structures include alternating circular and hyperbolic merons as a bound pair or a chain, respectively. As temperature lowers towards absolute zero, we find a continuous transition in the vortex structures towards a state where the vorticity is distributed in thin tubes around the circular merons. For the vortex sheet, we present a phase diagram of the transition in the temperature-angular velocity plane and calculations of the nuclear magnetic resonance response.

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