Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with 
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-wave superconductors

Ortíz, L.; Varona, Santiago; Viyuela, Oscar; Martín-Delgado, M. A.

doi:10.1103/physrevb.97.064501

Cited by 14 publications

(13 citation statements)

References 62 publications

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“…For instance, both works predict that the properties of MBSs can be direction dependent [28]. However, in modeling the nanowire, the localization of MBSs was shown to be reduced due to the angular asymmetry of the d-wave order in large regions of topological phase when compared to a nanowire on top of a conventional s-wave SC using ∆ d = ∆ s [29]. In contrast, for the emergence of MBSs in an impurity chain in a d-wave SC, we show that we need coexistence of s-wave and d-wave order parameters and actually observe much more localized MBSs for d x 2 −y 2 +is-wave SC than in the conventional s-wave case.…”

Section: Discussionmentioning

confidence: 99%

Majorana bound states in magnetic impurity chains: Effects ofd-wave pairing

Mashkoori

Black‐Schaffer

2019

Phys. Rev. B

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We consider an atomic chain of magnetic impurities on the surface of a spin-orbit coupled superconductor with a dominating d-wave and subdominating s-wave order parameters. In particular, we investigate the properties of the Majorana bound states (MBSs) emerging at the chain end points in the topological phase and how MBSs are affected by the d-wave order parameter. We provide a comprehensive picture by both studying time-reversal invariant and breaking superconducting substrates as well as chains oriented in different directions relative to the d-wave rotation. We show that increasing the d-wave order parameter significantly enhances the localization of MBSs and their protective minigap, as long as the direction along which the impurity chain is oriented does not cross any nodal lines of the gap function. Moreover, we find an extra gap-closing for a specific condensate and chain orientation within the topological phase, which we are able to attribute to simple geometrical effects in the corresponding two-dimensional limit. These results show how high-temperature d-wave superconductors can be used to significantly enhance the properties and stability of MBSs. arXiv:1809.04911v2 [cond-mat.supr-con]

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Section: Discussionmentioning

confidence: 99%

Majorana bound states in magnetic impurity chains: Effects ofd-wave pairing

Mashkoori

Black‐Schaffer

2019

Phys. Rev. B

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“…Finally, we mention that cuprate superconductors in proximity to 3D topological insulators have been experimentally studied for the purpose of creating vortex (instead of corner) MZMs [117][118][119][120]. In these setups, the 2D topological surface states (instead of the 1D edge states) are the key ingredients.…”

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confidence: 99%

Majorana Corner Modes in a High-Temperature Platform

2018

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We introduce two-dimensional topological insulators in proximity to high-temperature cuprate or iron-based superconductors as high-temperature platforms of Majorana Kramers pairs of zero modes. The proximity-induced pairing at the helical edge state of the topological insulator serves as a Dirac mass, whose sign changes at the sample corner because of the pairing symmetry of high-T_{c} superconductors. This sign changing naturally creates at each corner a pair of Majorana zero modes protected by time-reversal symmetry. Conceptually, this is a topologically trivial superconductor-based approach for Majorana zero modes. We provide quantitative criteria and suggest candidate materials for this proposal.

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“…Note that our system is also distinct from the case of d x 2 −y 2 superconductor proximitized to an electron gas studied in Ref. [36], where an external Zeeman field is applied to the system while in our work the time-reversal symmetry is already broken by the nature of chiral pairing.…”

Section: Introductionmentioning

confidence: 96%

Vortex bound states of charge and magnetic fluctuations induced topological superconductors in heterostructures

Hosseinabadi

Kargarian

2019

Phys. Rev. B

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The helical electron states on the surface of topological insulators or elemental Bismuth become unstable toward superconducting pairing formation when coupled to the charge or magnetic fluctuations. The latter gives rise to pairing instability in chiral channels dxy ± id x 2 −y 2 , as has been observed recently in epitaxial Bi/Ni bilayer system at relatively high temperature, while the former favors a pairing with zero total angular momentum. Motivated by this observation we study the vortex bound states in these superconducting states. We consider a minimal model describing the superconductivity in the presence of a vortex in the superconducting order parameter. We show that zero-energy states appear in the spectrum of the vortex core for all pairing symmetries. Our findings may facilitate the observation of Majorana modes bounded to the vortices in heterostructures with no need for a proximity-induced superconductivity and relatively large value of ∆/EF . :1904.10003v3 [cond-mat.supr-con] arXiv

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Localization and oscillations of Majorana fermions in a two-dimensional electron gas coupled with d -wave superconductors

Cited by 14 publications

References 62 publications

Majorana bound states in magnetic impurity chains: Effects ofd-wave pairing

Majorana bound states in magnetic impurity chains: Effects ofd-wave pairing

Majorana Corner Modes in a High-Temperature Platform

Vortex bound states of charge and magnetic fluctuations induced topological superconductors in heterostructures

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