Signatures of Majorana bound states in transport properties of hybrid structures based on helical liquids

Crépin, François; Trauzettel, Björn; Dolcini, Fabrizio

doi:10.1103/physrevb.89.205115

Cited by 51 publications

(53 citation statements)

References 49 publications

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“…Similar formation of Andreev bound states was also revealed in junctions with 1D helical edge states [60]. We also find the asymmetric E dependence of LDOSs near the S/FI interface, e.g., ρ e (x 0 , E)(ρ h (x 0 , E)) in Fig.3.…”

Section: A S/n/fi/n' Junctionsupporting

confidence: 54%

Tunneling spectroscopy and Josephson current of superconductor-ferromagnet hybrids on the surface of a 3D TI

Burset

Yada

et al. 2015

Supercond. Sci. Technol.

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We investigate the charge transport property of superconductor (S) /normal metal (N) / ferromagnet insulator (FI) /(normal metal) N' and S/N/FI/N'/S Josephson junctions on a threedimensional topological insulator surface. We find the asymmetric local density of states (LDOSs) in a S/N/FI/N' junction and show that the N interlayer gives rise to subgap resonant spikes in the differential conductance and LDOSs. In a S/N/FI/N'/S junction, the Josephson current shows a non-sinusoidal current-phase relation and the N (or N') interlayer decreases the magnitude of the critical current monotonically.

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Section: A S/n/fi/n' Junctionsupporting

confidence: 54%

Tunneling spectroscopy and Josephson current of superconductor-ferromagnet hybrids on the surface of a 3D TI

Burset

Yada

et al. 2015

Supercond. Sci. Technol.

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“…Hence, calculating the transmission coefficient like before we find for

0 < ϵ < m_{0}

(similar formulae have been obtained in the problem of transport in magnetic and superconducting hybrid structures based on helical liquids )

\begin{matrix} right t_{k_{y} = 0} & center = & left - 4 i e^{(κ - {italicik}_{x}) L} \sqrt{m_{0}^{2} - ϵ^{2}} \\ right & center & left \times ([, {((), \sqrt{m_{0} + ϵ} - i \sqrt{m_{0} - ϵ})}^{2}) \\ right & center & left {- e^{2 κ L} {(\sqrt{m_{0} + ϵ} + i \sqrt{m_{0} - ϵ})}^{2}]}^{- 1} . \end{matrix}

…”

Section: One‐dimensional Motionsupporting

confidence: 76%

Transmission of charge and spin in a topological‐insulator‐based magnetic structure

Rzeszutko

Kudła

Dugaev

2017

Physica Status Solidi (b)

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We discuss the effect of a magnetic thin-film ribbon at the surface of a topological insulator on the charge and spin transport due to surface electrons. If the magnetization in the magnetic ribbon is perpendicular to the surface of a topological insulator, it leads to a gap in the energy spectrum of surface electrons. As a result, the ribbon is a barrier for electrons, which leads to electrical resistance. We have calculated conductance of such a structure. The conductance reveal some oscillations with the length of the magnetized region due to the interference of transmitted and reflected waves. We have also calculated the Seebeck coefficient when electron flux is due to a temperature gradient.

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“…The stability of this effect under various realistic situations (i.e. energy splitting, disorder, multiple bands, quasiparticle poisoning) have been extensively studied in literature [49][50][51][52][53][54][55][56][57][58][59][60][61]. The standard approach to understand the Josephson effect is based on BCS mean-field theory, where the U(1) particle number conservation is spontaneously broken.…”

Section: Introductionmentioning

confidence: 99%

Fractional Josephson effect in number-conserving systems

Cheng

Lutchyn

2015

Phys. Rev. B

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We study fractional Josephson effect in a particle-number conserving system consisting of a quasione-dimensional superconductor coupled to a nanowire or an edge carrying e/m fractional charge excitations with m being an odd integer. We show that, due to the topological ground-state degeneracy in the system, the periodicity of the supercurrent on magnetic flux through the superconducting loop is non-trivial which provides a possibility to detect topological phases of matter by the dc supercurrent measurement. Using a microscopic model for the nanowire and quasi-one-dimensional superconductor, we derived an effective low-energy theory for the system which takes into account effects of quantum phase fluctuations. We discuss the stability of the fractional Josephson effect with respect to the quantum phase slips in a mesoscopic superconducting ring with a finite charging energy.

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Signatures of Majorana bound states in transport properties of hybrid structures based on helical liquids

Cited by 51 publications

References 49 publications

Tunneling spectroscopy and Josephson current of superconductor-ferromagnet hybrids on the surface of a 3D TI

Tunneling spectroscopy and Josephson current of superconductor-ferromagnet hybrids on the surface of a 3D TI

Transmission of charge and spin in a topological‐insulator‐based magnetic structure

Fractional Josephson effect in number-conserving systems

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