Transmission amplitude through a Coulomb blockaded Majorana wire

Matthias, Thamm,; Rosenow, Bernd

doi:10.1103/physrevresearch.3.023221

Cited by 10 publications

(2 citation statements)

References 51 publications

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“…Despite the significant experimental progress, the Majorana origin of ZBCPs has been recently questioned; in great part because several works have reported ZBCPs due to quasi-zero-energy states (qZESs) at finite magnetic fields but well below the topological phase and, hence, not tied to topology . In this regard, recent theoretical efforts have suggested interesting detection protocols of MBSs [55][56][57][58][59][60][61][62][63][64][65][66][67][68][69][70][71][72][73][74], but the emergence of trivial qZESs still seems puzzling in conductance measurements.…”

Section: Introductionmentioning

confidence: 99%

Confinement-induced zero-bias peaks in conventional superconductor hybrids

Cayao

Burset

2021

Phys. Rev. B

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Majorana bound states in topological superconductors have been predicted to appear in the form of zerobias conductance peaks of height 2e 2 /h, which represents one of the most studied signatures so far. Here, we show that quasi-zero-energy states, similar to Majorana bound states, can naturally form in any superconducting hybrid junction due to confinement effects, in the absence of spin fields and, thus, without relation to topology. Remarkably, these topologically trivial quasi-zero-energy states produce zero-bias conductance peaks, that could be similar to Majorana signatures, but develop a different peak height (4e 2 /h) and are less stable under gating or depletion of the confined region. Our results put forward confinement as an alternative mechanism to explain the ubiquitous presence of trivial zero-bias peaks and quasi-zero-energy states in superconductor hybrids.

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Section: Introductionmentioning

confidence: 99%

Confinement-induced zero-bias peaks in conventional superconductor hybrids

Cayao

Burset

2021

Phys. Rev. B

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“…3(d)]. For small tunnelling rates from the leads, the corresponding zero-bias conductance G R displays peaks with a typical e/3 n g -periodicity caused by the isolated parafermionic subgap states, analogously to the Majorana-mediated electron teleportation [21,34,39].…”

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confidence: 99%

Readout of parafermionic states by transport measurements

Nielsen,

Flensberg,

Egger

et al. 2021

Preprint

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Recent experiments have demonstrated the possibility of inducing superconducting pairing into counterpropagating fractional quantum Hall edge modes. This paves the way for the realization of localized parafermionic modes, nonabelian anyons which share fractional charges in a nonlocal way. We show that, for a pair of isolated parafermions, this nonlocal degree of freedom can be read by conductance measurements across standard metallic electrodes. We investigate first the transport through a grounded superconductor hosting two interacting parafermions. In the lowenergy limit, the conductance reveals their shared fractional charge. We then examine the twoterminal electron conductance of a blockaded fractional topological superconductor. Depending on the induced pairing, parafermion overlap, and charging energy, such a device displays different patterns as a function of its induced charge. The zero-bias conductance allows us to distinguish a strongly-blockaded quantum dot regime, an intermediate pairing regime with a sixfold pattern of peaks repeating with periodicity 2e, and a deep topological regime characterized by an e/3 periodicity.

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