Measuring the nonlocality of different types of Majorana bound states in a topological superconducting wire

Ren, Chongdan; Wu, Ya Min; Sun, Minglei; Wang, Sake; Tian, Hua

doi:10.1088/1361-648x/aaf149

Cited by 4 publications

(2 citation statements)

References 52 publications

(105 reference statements)

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“…To the best of our knowledge, there are so far no publications using this conceptionally simple setup for an analytical analysis of the transport signatures in the spinful lead. However, the special cases of anti-parallel spins 107 or parallel spins 118 of the two MBSs in an effective model calculation have already been considered. Our findings are consistent with the results of these previous works.…”

Section: Low-energy Model and Full Counting Statisticsmentioning

confidence: 99%

Signatures of the Majorana spin in electrical transport through a Majorana nanowire

Schuray,

Rammler,

Recher

2020

Preprint

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In this paper, we investigate the transport properties of spinful electrons tunnel-coupled to a finite-length Majorana nanowire on one end which is further tunnel-coupled to a quantum dot (QD) at the other end. Using a full counting statistics approach, we show that Andreev reflection can happen in two separate channels that can be associated with the two spin states of the tunneling electrons. In a low-energy model for the nanowire that is represented by two overlapping Majorana bound states (MBSs) localized at the ends of the wire, analytical formulas for conductance and noise reveal their crucial dependence on the spin-canting angle difference of the two MBSs in the absence of the QD if the spinful lead couples to both MBSs. We further investigate the influence of a finite temperature on the observation of the coupling to both MBSs. In the presence of the QD, the interference of different tunneling paths gives rise to Fano resonances and the symmetry of those provide decisive information about the coupling to both MBSs. We contrast the low-energy model with a tight-binding model of the Majorana nanowire and treat the Coulomb interaction on the QD with a self-consistent mean field approach. Using the scattering matrix approach, we thereby extend the transport results obtained in the low-energy model including also higher excited states in the nanowire.

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Section: Low-energy Model and Full Counting Statisticsmentioning

confidence: 99%

Signatures of the Majorana spin in electrical transport through a Majorana nanowire

Schuray,

Rammler,

Recher

2020

Preprint

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show abstract

“…1,[21][22][23][24][25] Besides their potential application in the area of quantum materials and quantum transport, these linear band crossing states with low energy excitations in topological metals or semimetals can interestingly serve as the analogues in high energy physics and thus provide a possible way to examine the fundamental physics on a simple condensed matter scale. [26][27][28] Consequently, more and more research attention and interest are being devoted to this field from both theoretical and experimental directions.…”

Section: Introductionmentioning

confidence: 99%

An ideal Weyl nodal ring with a large drumhead surface state in the orthorhombic compound TiS₂

Yang

Ding

Liu

et al. 2022

Phys. Chem. Chem. Phys.

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Signatures of the Majorana spin in electrical transport through a Majorana nanowire

2020

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Measuring the nonlocality of different types of Majorana bound states in a topological superconducting wire

Abstract: Measuring the nonlocality of different types of Majorana bound states in a topological superconducting wire.

Cited by 4 publications

References 52 publications

Signatures of the Majorana spin in electrical transport through a Majorana nanowire

Signatures of the Majorana spin in electrical transport through a Majorana nanowire

An ideal Weyl nodal ring with a large drumhead surface state in the orthorhombic compound TiS₂

Signatures of the Majorana spin in electrical transport through a Majorana nanowire

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Measuring the nonlocality of different types of Majorana bound states in a topological superconducting wire

Abstract: Measuring the nonlocality of different types of Majorana bound states in a topological superconducting wire.

Cited by 4 publications

References 52 publications

Signatures of the Majorana spin in electrical transport through a Majorana nanowire

Signatures of the Majorana spin in electrical transport through a Majorana nanowire

An ideal Weyl nodal ring with a large drumhead surface state in the orthorhombic compound TiS2

Signatures of the Majorana spin in electrical transport through a Majorana nanowire

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An ideal Weyl nodal ring with a large drumhead surface state in the orthorhombic compound TiS₂