Detection of Majorana zero mode in the vortex

Sun, Huajun; Jia, Jin‐Feng

doi:10.1038/s41535-017-0037-4

Cited by 45 publications

(31 citation statements)

References 50 publications

(56 reference statements)

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“…The engineering of topological superconductors is the forerunner of the Majorana quest in experiments. To date and beside the focus of this review on magnetic chains, signatures of MZMs have been also observed by conductance measurements at ultra-low temperatures in semiconducting nanowires [36,120], at the interface of topological insulators/superconductors heterostructures [121,122,123,124,125] as well as in"natural" topological superconductors [126,127]. In agreement with theory, the most fundamental characteristics of the MZM have been observed in experiments, i.e.…”

Section: Discussionsupporting

confidence: 66%

Majorana fermions in magnetic chains

Pawlak

Hoffman

Klinovaja

et al. 2019

Progress in Particle and Nuclear Physics

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Majorana fermions have recently garnered a great attention outside the field of particle physics, in condensed matter physics. In contrast to their particle physics counterparts, Majorana fermions are zero energy, chargeless, spinless, composite quasiparticles, residing at the boundaries of so-called topological superconductors. Furthermore, in opposition to any particles in the standard model, Majorana fermions in solid-state systems obey non-Abelian exchange statistics that make them attractive candidates for decoherence-free implementations of quantum computers. In this review, we report on the recent advances to realize synthetic topological superconductors supporting Majorana fermions with an emphasis on chains of magnetic impurities on the surface of superconductors. After outlining the theoretical underpinning responsible for the formation of Majorana fermions, we report on the subsequent experimental efforts to build topological superconductors and the resulting evidence in favor of Majorana fermions, focusing on scanning tunneling microscopy and the hunt for zero-bias peaks in the measured current. We conclude by summarizing the open questions in the field and propose possible experimental measurements to answer them.

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Section: Discussionsupporting

confidence: 66%

Majorana fermions in magnetic chains

Pawlak

Hoffman

Klinovaja

et al. 2019

Progress in Particle and Nuclear Physics

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“…MBS being bound to vortex cores is a concept that has been known for many years [55] for two-dimensional p-wave superconductors. Topological superconductivity in two dimensions emerges, for instance, at topological insulator-superconductor interfaces [56,57], and signatures of MBS at vortices have indeed been reported [58][59][60]. Bare vortices are, however, not easily individually controllable.…”

Section: Introductionmentioning

confidence: 99%

Majorana bound states in magnetic skyrmions imposed onto a superconductor

2019

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We consider a superconducting film exchange-coupled to a close-by chiral magnetic layer and study how magnetic skyrmions can induce the formation of Majorana bound states (MBS) in the superconductor. Inspired by a proposal by Yang et al. [Phys. Rev. B 93, 224505 (2016)], which suggested MBS in skyrmions of even winding number, we explore whether such skyrmions could result from a merger of ordinary skyrmions. We conclude that the formation of higher-winding skyrmions is not realistic in chiral magnets. Subsequently, we present a possibility to obtain MBS from realistic skyrmions of winding number one, if a skyrmion-vortex pair is formed instead of a bare skyrmion. Specifically, we show that MBS are supported in a pair of a circular skyrmion and a vortex which both have a winding number of one. We back up our analytical prediction with results from numerical diagonalization and obtain the spatial profile of the MBS. In light of recent experimental progress on the manipulation of skyrmions, such systems are promising candidates to achieve direct spatial control of MBS. arXiv:1904.04177v2 [cond-mat.supr-con]

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“…This establishes a sharp contrast with the parent compound FeSe, which is claimed to host nodal [56,57] or at least very anisotropic [58][59][60] gaps and shows a broad signature in vortices, with no sign of discrete states [61]. The ability to observe and identify the "conventional" vortex states is an asset for demonstrating the unconventional nature of the Majorana zero mode in vortices where both types of quasiparticles coexist [36,62].…”

Section: Discussionmentioning

confidence: 92%

Signatures of nodeless multiband superconductivity and particle-hole crossover in the vortex cores of FeTe0.55Se0.45

Berthod

2018

Phys. Rev. B

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Scanning tunneling experiments on single crystals of superconducting FeTe 0.55 Se 0.45 have recently provided evidence for discrete energy levels inside vortices. Although predicted long ago, such levels are seldom resolved due to extrinsic (temperature, instrumentation) and intrinsic (quasiparticle scattering) limitations. We study a microscopic multiband model with parameters appropriate for FeTe 0.55 Se 0.45 . We confirm the existence of well-separated bound states and show that the chemical disorder due to random occupation of the chalcogen site does not affect significantly the vortex-core electronic structure. We further analyze the vortex bound states by projecting the local density of states on angular-momentum eigenstates. A rather complex pattern of bound states emerges from the multiband and mixed electron-hole nature of the normalstate carriers. The character of the vortex states changes from hole-like with negative angular momentum at low energy to electron-like with positive angular momentum at higher energy within the superconducting gap. We show that disorder in the arrangement of vortices most likely explains the differences found experimentally when comparing different vortices. arXiv:1808.08390v2 [cond-mat.supr-con]

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Detection of Majorana zero mode in the vortex

Cited by 45 publications

References 50 publications

Majorana fermions in magnetic chains

Majorana fermions in magnetic chains

Majorana bound states in magnetic skyrmions imposed onto a superconductor

Signatures of nodeless multiband superconductivity and particle-hole crossover in the vortex cores of FeTe0.55Se0.45

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