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Nagato, Yasushi; Yamamoto, Mikio; Nagai, Katsuhiko

doi:10.1023/a:1022368301143

Cited by 96 publications

(133 citation statements)

References 29 publications

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“…The linear dependence is also obtained by numerical calculation [71,75,144,152]. The linear behavior of the low-energy density of states is responsible for the power-law behavior of the temperature-dependence of the specific heat in 3 He-B confined in a slab geometry [69], in contrary to the exponential behavior .…”

Section: Exact Solutions For Superfluid 3 He-bmentioning

confidence: 74%

“…In the absence of a magnetic field, the surface density of states in the low energy region is considerably enhanced by the diffusive surface [106,152]. The low-energy density of states filled in by the skew scattering of the quasiparticle at the rough surface might drastically change the temperature-and field-dependences of the spin susceptibility.…”

Section: Discussionmentioning

confidence: 99%

“…There have been numerous works on the effect of surface roughness that causes diffusive scattering of quasiparticles [145,146,147,148,149,150,151,152,153]. The surface roughness drastically changes the surface structure of order parameters and low-lying surface states in the superfluid 3 He-B [106,108,152,154]. The pair-breaking effect and the enhancement of the surface density of states due to the existence of the surface Andreev bound states have been observed in several experiments [109,110,271,112,113,114,115,116,117,118,155,156,157,158,159].…”

Section: 3mentioning

confidence: 99%

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Symmetry protected topological superfluid³He-B

Mizushima

Tsutsumi

Sato

et al. 2015

J. Phys.: Condens. Matter

158

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Abstract.Owing to the richness of symmetry and well-established knowledge on the bulk superfluidity, the superfluid 3 He has offered a prototypical system to study intertwining of topology and symmetry. This article reviews recent progress in understanding the topological superfluidity of 3 He in a multifaceted manner, including symmetry consideration, the Jackiw-Rebbi's index theorem, and the quasiclassical theory. Special focus is placed on the symmetry protected topological superfuidity of the 3 He-B confined in a slab geometry. The 3 He-B under a magnetic field is separated to two different sub-phases: The symmetry protected topological phase and non-topological phase. The former phase is characterized by the existence of symmetry protected Majorana fermions. The topological phase transition between them is triggered off by the spontaneous breaking of a hidden discrete symmetry. The critical field is quantitatively determined from the microscopic calculation that takes account of magnetic dipole interaction of 3 He nucleus. It is also demonstrated that odd-frequency evenparity Cooper pair amplitudes are emergent in low-lying quasiparticles. The key ingredients, symmetry protected Majorana fermions and odd-frequency pairing, bring an important consequence that the coupling of the surface states to an applied field is prohibited by the hidden discrete symmetry, while the topological phase transition with the spontaneous symmetry breaking is accompanied by anomalous enhancement and anisotropic quantum criticality of surface spin susceptibility. We also illustrate common topological features between topological crystalline superconductors and symmetry protected topological superfluids, taking UPt 3 and Rashba superconductors as examples.

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Section: Exact Solutions For Superfluid 3 He-bmentioning

confidence: 74%

Section: Discussionmentioning

confidence: 99%

Section: 3mentioning

confidence: 99%

See 1 more Smart Citation

Symmetry protected topological superfluid³He-B

Mizushima

Tsutsumi

Sato

et al. 2015

J. Phys.: Condens. Matter

158

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“…the inapplicability of Anderson's Theorem to a sign-changing order parameter), which has been explicitly verified for this material 19 . Rough or pair-breaking surface effects have been shown 20,21 to sharply reduce the superconducting order parameter at the surface, although not to meaningfully alter the surface density of states. Accordingly, the observation of metallic behavior suggests that there is a higher density of defects near the surface (presumably introduced during crystal growth or preparation procedures), leading to a reduced mean free path and the quenching of superconductivity near the surface.…”

Section: Surface Imperfectionmentioning

confidence: 99%

Suppression of spontaneous currents inSr2RuO4by surface disorder

et al. 2014

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A major challenge to the chiral p-wave hypothesis for the pairing symmetry of the unconventional superconductor Sr2RuO4 is the null result of sensitive scanning magnetometry experiments designed to detect the expected spontaneous charge currents. Motivated by junction tunneling conductance measurements which indicate the quenching of superconductivity at the surfaces of even high-purity samples, we examine the spontaneous currents in a chiral p-wave superconductor near a normal metal / superconductor interface using the lattice Bogoliubov-de Gennes equations and Ginzburg-Landau theory, and find that the edge current is suppressed by more than an order of magnitude compared to previous estimates. These calculations demonstrate that interface details can have a quantitatively meaningful effect on the expectations for magnetometry experiments.

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“…The bulk topological invariant gives rise to gapless surface excitations through bulk-boundary correspondence. Quasiclassical theory [33] provides a detailed framework to self consistently determine both the order parameter approaching the surface and the density of states of surface excitations, for different surface quasiparticle scattering conditions [34,35,36] . For specular scattering these surface excitations are Majorana fermions [31,37,38], and the sample edge supports spin-current in the ground state.…”

Section: Topological Superfluids; Surface and Edge Excitationsmentioning

confidence: 99%