Electron transport in multiterminal networks of Majorana bound states

Weithofer, Luzie; Recher, Patrik; Schmidt, Thomas L.

doi:10.1103/physrevb.90.205416

Cited by 37 publications

(32 citation statements)

References 40 publications

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“…Most of the studies [77][78][79][80][81][82][83][84][85][86][87] so far focused on the transport properties of such NWs in the topological regime or on properties of MFs themselves and their dependence on physical parameters. Also, there has been substantial interest recently in the investigation of the spin polarization of Andreev and Majorana bound states 88,89 .…”

Section: Introductionmentioning

confidence: 99%

Boundary spin polarization as a robust signature of a topological phase transition in Majorana nanowires

2018

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We show that the boundary charge and spin can be used as alternative signatures of the topological phase transition in topological models such as semiconducting nanowires with strong Rashba spin-orbit interaction in the presence of a magnetic field and in proximity to an s-wave superconductor. We identify signatures of the topological phase transition that do not rely on the presence of Majorana zero-energy modes and, thus, can serve as independent probes of topological properties. The boundary spin component along the magnetic field, obtained by summing contributions from all states below the Fermi level, has a pronounced peak at the topological phase transition point. Generally, such signatures can be observed at boundaries between topological and trivial sections in nanowires and are stable against disorder. arXiv:1803.00544v2 [cond-mat.mes-hall]

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Section: Introductionmentioning

confidence: 99%

Boundary spin polarization as a robust signature of a topological phase transition in Majorana nanowires

2018

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“…The details of these calculations can be found in Refs. [62,146]. At zero temperature, the CGF is given by…”

Section: Model and Cumulant Generating Functionmentioning

confidence: 99%

Transport signatures of Majorana bound states in superconducting hybrid structures

Schuray

Frombach

Park

et al. 2020

Eur. Phys. J. Spec. Top.

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In this minireview, we outline the recent experimental and theoretical progress in the creation, characterization and manipulation of Majorana bound states (MBSs) in semiconductor-superconductor (SC) hybrid structures. After an introductory overview of the broader field we specifically focus on four of our recent projects in this direction. We show that the emergence of Fano resonances in the differential conductance in a normal lead-Majorana nanowire-quantum dot setup can be exploited to determine if a single MBS is contacted by the normal lead and the quantum dot providing an experimental test of the nonlocality of MBSs. In the second project, the tunnel-coupling to two MBSs in an s-wave SC-Majorana nanowire Josephson junction (JJ) leads to a finite contribution of the MBSs to the equilibrium Josephson current probing directly the local spin-singlet contribution of the Majorana pair. We then shift our focus from MBSs forming in nanowire systems to MBSs forming in topological JJs. In a single sheet of buckled silicene with proximity induced superconductivity two local electric fields can be used to tune the junction between a topologically trivial and topologically non-trivial regime. In a Corbino geometry topological Josephson junction two MBSs harbored in Josephson vortices can rotate along the JJ and, in the course of this, will be exchanged periodically in the phase difference of the JJ. The tunneling current in a metal tip coupled to the JJ is shown to exhibit signs of the anyonic braiding phase of two MBSs.

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“…One of the applications for that is the derivation of the effective action for end Majoranas used in Refs. [32,33]. The most important advantage of these results is that the computation of the Chebyshev matrix polynomials itself only requires matrix multiplications.…”

Section: Kitaev Chain Modelmentioning

confidence: 99%

Analytical results for the Green's functions of lattice fermions

Komnik

Heinze

2017

Phys. Rev. B

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We present a further development of methods for analytical calculations of Green's functions of lattice fermions based on recurrence relations. Applying it to tight-binding systems and topological superconductors in different dimensions we obtain a number of new results. In particular we derive an explicit expression for arbitrary Green's function of an open Kitaev chain and discover non-local fermionic corner states in a 2D p-wave superconductor. PACS numbers: 73.20.-r, 71.15.-m, 71.20.-b, 02.10.Yn arXiv:1706.06463v1 [cond-mat.mes-hall]

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Electron transport in multiterminal networks of Majorana bound states

Cited by 37 publications

References 40 publications

Boundary spin polarization as a robust signature of a topological phase transition in Majorana nanowires

Boundary spin polarization as a robust signature of a topological phase transition in Majorana nanowires

Transport signatures of Majorana bound states in superconducting hybrid structures

Analytical results for the Green's functions of lattice fermions

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