Fingerprints of Majorana fermions in current-correlation measurements from a superconducting tunnel microscope

Devillard, Pierre; Chevallier, Denis; Albert, Mathias

doi:10.1103/physrevb.96.115413

Cited by 25 publications

(19 citation statements)

References 53 publications

(97 reference statements)

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“…However, in finite temperature regime conductance is significantly reduced, which has been observed experimentally [18] and discussed theoretically [44,[56][57][58][59]. Therefore, local density of states presented here is a good indicator for the differential conductance [37], however it strongly depends on temperature and coupling between tip and nanowire [18,49,[58][59][60][61][62].…”

Section: Basic Propertiessupporting

confidence: 60%

Controlling the bound states in a quantum-dot hybrid nanowire

2017

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Recent experiments using the quantum dot coupled to the topological superconducting nanowire [M.T. Deng et al., Science 354, 1557] revealed that zero-energy bound state coalesces from the Andreev bound states. Such quasiparticle states, present in the quantum dot, can be controlled by the magnetic and electrostatic means. We use microscopic model of the quantum-dot-nanowire structure to reproduce the experimental results, applying the Bogoliubov-de Gennes technique. This is done by studying the gate voltage dependence of the various types of bound states and mutual influence between them. We show that the zero energy bound states can emerge from the Andreev bound states in topologically trivial phase and can be controlled using various means. In non-trivial topological phase we show the possible resonance between this zero energy levels with Majorana bound states. We discuss and explain this phenomena as a result of dominant spin character of discussed bound states. Presented results can be applied in experimental studies by using the proposed nanodevice.

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Section: Basic Propertiessupporting

confidence: 60%

Controlling the bound states in a quantum-dot hybrid nanowire

2017

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“…In this work we demonstrate that SESAR spectroscopy can test inherent polarization of the Majorana quasiparticles appearing at the edges of the Rashba chain. The parallel and perpendicular components of magnetically polarized Majorana states has initially been pointed out by D. Sticlet et al 17 and their signatures have been recently studied by a number of authors [18][19][20][21] . In this paper we show that magnetic polarization is detectable in STM experiments owing to SESAR processes, which in the subgap regime could distinguish the Majorana quasiparticles out the ordinary Shiba in-gap states.…”

Section: Introductionmentioning

confidence: 96%

Polarization of the Majorana quasiparticles in the Rashba chain

Maśka¹,

Domański²

2017

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We demonstrate that the selective equal–spin Andreev reflection (SESAR) spectroscopy can be used in STM experiments to distinguish the zero–energy Majorana quasiparticles from the ordinary fermionic states of the Rashba chain. Such technique, designed for probing the p–wave superconductivity, could be applied to the intersite pairing of equal–spin electrons in the chain of magnetic Fe atoms deposited on the superconducting Pb substrate. Our calculations of the effective pairing amplitude for individual spin components imply the magnetically polarized Andreev conductance, which can be used to ‘filter’ the Majorana quasiparticles from the ordinary in–gap states, although the pure spin current (i.e., perfect polarization) is impossible.

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“…Indeed, indications of their existence have been shown by probing their transport conductance spectrum, [ 29,33–36 ] thermal conductance, [ 37,38 ] ac Josephson effect, [ 39,40 ] generation and discontinuities of persistent currents [ 41,42 ] and current noise correlations. [ 26,34,43–48 ] Particularly, it has been proposed to combine tunneling conductance and shot noise correlations measurements as a complementary diagnosis method to distinguish real from fake MBSs. [ 44,49–51 ]…”

Section: Introductionmentioning

confidence: 99%

Majorana Bound States Hallmarks in a Quantum Topological Interferometer Ring

2021

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In this work, the conductance and current correlations properties of a quantum topological interferometer consisting of a quantum dot coupled to two Majorana bound states (MBSs) confined at both ends of a 1D topological superconductor ring nanowire is investigated. The ring in its topological nontrivial and trivial phases is analyzed to show that the tunneling conductance, shot noise, and Fano factor present unique characteristics to distinguish the hallmark of MBSs. The findings are reinforced by taking advantage of the full correspondence between the quantum topological interferometer and a quantum‐dot effectively coupled to a single Majorana state in a straight topological superconductor wire configuration. It is shown that besides the characteristic zero‐bias conductance e2/2h and the already known shot noise features, the Fano factor provides significant information to distinguish the MBSs presence.

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Fingerprints of Majorana fermions in current-correlation measurements from a superconducting tunnel microscope

Cited by 25 publications

References 53 publications

Controlling the bound states in a quantum-dot hybrid nanowire

Controlling the bound states in a quantum-dot hybrid nanowire

Polarization of the Majorana quasiparticles in the Rashba chain

Majorana Bound States Hallmarks in a Quantum Topological Interferometer Ring

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