Topological nodal line in superfluid $^3$He and the Anderson theorem

Eltsov, V. B.; Kamppinen, T.; Rysti, J.; Volovik, G. E.

doi:10.48550/arxiv.1908.01645

Cited by 16 publications

(21 citation statements)

References 25 publications

(34 reference statements)

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“…The reason for the appearance of the polar phase in nafen is the analog of the Anderson theorem applied for the polar phase in the presence of the columnar defects (nafen strands), see Refs. [15,16]. While for all the other phases of superfluid 3 He the transition temperature is suppressed by these impurities.…”

Section: жэтфmentioning

confidence: 95%

Composite topological objects in topological superfluids

Volovik¹

2019

Preprint

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Section: жэтфmentioning

confidence: 95%

Composite topological objects in topological superfluids

Volovik¹

2019

Preprint

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“…Orbital anisotropy vector m is locked along the nafen strands, while the node line in the energy spectrum develops in the plane perpendicular to the strands. Owing to the extension of the Anderson theorem [30][31][32], these features are robust against disorder, introduced by the nafen strands.…”

Section: Vortices In the Polar Phasementioning

confidence: 99%

Exceeding the Landau superflow speed limit with topological Bogoliubov Fermi surfaces

Autti,

Mäkinen,

Rysti

et al. 2020

Preprint

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A common property of topological systems is the appearance of topologically protected zeroenergy excitations. In a superconductor or superfluid such states violate the Landau criterion for dissipationless flow. We check experimentally whether stable superflow is nevertheless possible in the polar phase of p-wave superfluid 3 He, which features a Dirac node line in the energy spectrum of Bogoliubov quasiparticles. The fluid is driven by rotation of the whole cryostat, and superflow breakdown is seen as the appearance of single-or half-quantum vortices. Vortices are detected using the relaxation rate of a Bose-Einstein condensate of magnons, created within the fluid. The superflow in the polar phase is found to be stable up to a finite critical velocity ≈ 0.2 cm/s, despite the zero value of the Landau critical velocity. This stability is provided by the accumulation of the flow-induced quasiparticles into pockets in the momentum space, bounded by Bogoliubov Fermi surfaces. In the polar phase this surface has non-trivial topology which includes two pseudo-Weyl points. Vortices forming above the critical velocity are strongly pinned in the confining matrix, used to stabilize the polar phase, and hence stable macroscopic superflow can be maintained even when the external drive is brought to zero.

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“…It has been found recently that the celebrated Anderson theorem [1], which implies that the bulk properties of an s-wave paired superfluid phase are insensitive to the impurity strength, is satisfied in the p-wave polar superfluid phase [2,3] of liquid 3 He realized in highly anisotropic aerogels with a structure consisting of columnar defects [4][5][6]. Consequently, the normal to polar superfluid transition there has no quantum critical point (QCP), and the polar phase is stabilized as the high-temperature superfluid phase.…”

Section: Introductionmentioning

confidence: 99%

Superfluid quantum criticality in liquid He3 in anisotropic aerogel

Nakashima

Ikeda

2021

Phys. Rev. B

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In the novel superfluid polar phase realized in liquid 3 He in highly anisotropic aerogels, a quantum transition to the polar-distorted A (PdA) phase may occur at low but finite pressure P c (0). It is shown that the nontrivial quantum dynamics of the critical fluctuation of PdA order is induced by the presence of both columnar impurity scattering leading to Anderson's theorem for the polar phase and the line node of the quasiparticle gap in the state, and that, in contrast to the situation of the normal to B-phase transition in isotropic aerogels, a weakly divergent behavior of the compressibility appears in the quantum critical region close to P c (0).

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Topological nodal line in superfluid $^3$He and the Anderson theorem

Cited by 16 publications

References 25 publications

Composite topological objects in topological superfluids

Composite topological objects in topological superfluids

Exceeding the Landau superflow speed limit with topological Bogoliubov Fermi surfaces

Superfluid quantum criticality in liquid He3 in anisotropic aerogel

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