Majorana states in a p-wave superconducting ring

Rosenstein, Baruch; Shapiro, I.; Shapiro, B. I.

doi:10.1209/0295-5075/102/57002

Cited by 5 publications

(5 citation statements)

References 31 publications

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“…It was shown that a magnetic field can be used to tune the Andreev state energy precisely to zero. The ZES are not topologically protected, but is "quenched" there [30]. They can be further manipulated by pinning of the skyrmions on columnar defects and nanoholes.…”

Section: Conclusion and Discussionmentioning

confidence: 99%

Zero-bias anomaly in p-wave superconductor

Rosenstein

Shapiro

et al. 2015

EPL

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It was shown some time ago that a magnetic field penetrates a triplet non-chiral superconductor described by the (three-dimensional) vector order parameter as an array of magnetic skyrmions, a texture carrying two units of magnetic flux. Magnetic skyrmions do not have a normal core in contrast to Abrikosov vortices. The spectrum of Andreev midgap states of this coreless topological defect in p-wave isotropic superconductors with single parabolic band is calculated. It is shown that a magnetic field can be used to tune the Andreev state energy precisely to zero (these states are not topologically protected). They can be further stabilized and manipulated by pinning of the skyrmions on columnar defects or nanoholes. In contrast to Majorana modes in chiral p-wave superconductor, the tunneling between ZES within neighboring skyrmions is prohibited due to their high angular momentum. Experimental signatures of these states are discussed.

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Section: Conclusion and Discussionmentioning

confidence: 99%

Zero-bias anomaly in p-wave superconductor

Rosenstein

Shapiro

et al. 2015

EPL

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“…The Corbino geometry has been studied for small disk size, in which case the same zero energy criterion is found in the limit 2mv 2 F µ ∆ 2 0 by imposing Dirichlet boundary conditions on the wavefunctions directly. 63 direction ϕ. The resulting scattering rates display an average absolute deviation |ε| (averaged over the Fermi energy range in Fig.…”

Section: Majorana Bound States and Energy Splittingmentioning

confidence: 99%

“…The Corbino geometry has been studied for small disk size, in which case the same zero energy criterion is found in the limit 2mv 2 F µ ∆ 2 0 by imposing Dirichlet boundary conditions on the wavefunctions directly. 63 Appendix D: Surface-Bulk Scattering with Screened Disorder…”

Section: Majorana Bound States and Energy Splittingmentioning

confidence: 99%

Size constraints on a Majorana beam-splitter interferometer: Majorana coupling and surface-bulk scattering

Røising¹,

Simon²

2018

Phys. Rev. B

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Topological insulator surfaces in proximity to superconductors have been proposed as a way to produce Majorana fermions in condensed matter physics. One of the simplest proposed experiments with such a system is Majorana interferometry. Here, we consider two possibly conflicting constraints on the size of such an interferometer. Coupling of a Majorana mode from the edge (the arms) of the interferometer to vortices in the center of the device sets a lower bound on the size of the device. On the other hand, scattering to the usually imperfectly insulating bulk sets an upper bound. From estimates of experimental parameters, we find that typical samples may have no size window in which the Majorana interferometer can operate, implying that a new generation of more highly insulating samples must be explored.PACS numbers: 71.10. Pm, 74.45.+c, arXiv:1712.07687v2 [cond-mat.str-el]

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“…Although the investigation of Majorana modes primarily focuses on single semiconducting wires, the path for Majorana detection and braiding often requires to employ more complex networks [16][17][18] or suggests alternative curved geometries, e.g. circular [19][20][21][22] and elliptical quantum rings [23].…”

mentioning

confidence: 99%

Tuning pairing amplitude and spin-triplet texture by curving superconducting nanostructures

et al. 2017

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We investigate the nature of the superconducting state in curved nanostructures with Rashba spin-orbit coupling (RSOC). In bent nanostructures with inhomogeneous curvature we find a local enhancement or suppression of the superconducting order parameter, with the effect that can be tailored by tuning either the RSOC strength or the carrier density. Apart from the local superconducting spin-singlet amplitude control, the geometric curvature generates non-trivial textures of the spin-triplet pairs through a spatial variation of the d-vector. By employing the representative case of an elliptically deformed quantum ring, we demonstrate that the amplitude of the d-vector strongly depends on the strength of the local curvature and it generally exhibits a three-dimensional profile whose winding is tied to that of the single electron spin in the normal state. Our findings unveil novel paths to manipulate the quantum structure of the superconducting state in RSOC nanostructures through their geometry.

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Majorana states in a p-wave superconducting ring

Cited by 5 publications

References 31 publications

Zero-bias anomaly in p-wave superconductor

Zero-bias anomaly in p-wave superconductor

Size constraints on a Majorana beam-splitter interferometer: Majorana coupling and surface-bulk scattering

Tuning pairing amplitude and spin-triplet texture by curving superconducting nanostructures

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