Polarization of the Majorana quasiparticles in the Rashba chain

Maśka, Maciej M.; Domański, T.

doi:10.1038/s41598-017-16323-3

Cited by 25 publications

(30 citation statements)

References 25 publications

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“…Such 'intrinsic polarization' of the Majorana modes has been previously suggested in Ref. [46], and recently we have proposed [47] their empirical detection by means of the Selective Equal Spin Andreev Reflection (SESAR) spectroscopy.…”

Section: B Spin-polarized Majorana Quasiparticlessupporting

confidence: 56%

Interplay between pairing and correlations in spin-polarized bound states

Głodzik¹,

Kobiałka²,

Gorczyca-Goraj³

et al. 2018

Beilstein J. Nanotechnol.

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We investigate single and multiple defects embedded in a superconducting host, studying the interplay between the proximity-induced pairing and interactions. We explore the influence of the spin–orbit coupling on energies, polarization and spatial patterns of the bound (Yu–Shiba–Rusinov) states of magnetic impurities in a two-dimensional square lattice. We also address the peculiar bound states in the proximitized Rashba chain, resembling the Majorana quasiparticles, focusing on their magnetic polarization that has been recently reported by S. Jeon et al. (Science 2017, 358, 772). Finally, we study leakage of these polarized Majorana quasiparticles into side-attached nanoscopic regions and confront them with the subgap Kondo effect near to the singlet–doublet phase transition.

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Section: B Spin-polarized Majorana Quasiparticlessupporting

confidence: 56%

Interplay between pairing and correlations in spin-polarized bound states

Głodzik¹,

Kobiałka²,

Gorczyca-Goraj³

et al. 2018

Beilstein J. Nanotechnol.

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“…Upon entering the topological phase, there appear two Majorana quasiparticles simultaneously in both spin channels but with different spectral weights, what has been indeed reported in the STM measurements using a ferromagnetic tip [12]. Such issue has been recently addressed by several groups [11,13,14]. J. Klinovaja with co-workers [8] have shown that spin up and down tunneling amplitudes between MBSs and quantum dot depend on the spin-orbit interaction length.…”

Section: Physical Setupmentioning

confidence: 72%

Leakage of Majorana mode into correlated quantum dot nearby its singlet-doublet crossover

Zienkiewicz¹,

Barański²,

Górski³

et al. 2019

J. Phys.: Condens. Matter

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We study quasiparticle spectrum of the correlated quantum dot deposited on superconducting substrate which is side-coupled to the Rashba nanochain, hosting Majorana end modes. Ground state of an isolated quantum dot proximitized to superconducting reservoirs is represented either by the singly occupied site or BCS-type superposition of the empty and doubly occupied configurations. Quantum phase transition between these distinct ground states is spectroscopically manifested by the in-gap Andreev states which cross each other at the Fermi level. This qualitatively affects leakage of the Majorana mode from the side-attached nanowire. We inspect the spin-selective relationship between the trivial Andreev states and the leaking Majorana mode, considering (i) perfectly polarized case, when tunneling of one spin component is completely prohibited, and (ii) another one when both spins are hybridized with the nanowire but with different couplings. *

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“…The first one is related to the spin polarization. For a proximized nanowire with homogeneous RSOC, the behavior of spin polarization has been shown to provide useful insights about the topological transition, and it has been recently suggested that the spin polarization of Majorana fermions could be exploited to distinguish them from ordinary fermion states of the nanowire [54,[83][84][85]. Let us compare this case to the spin polarization shown in Fig.5(a) that we find for a normal nanowire without proximity effect and with inhomogeneous RSOC.…”

Section: B Future Developmentsmentioning

confidence: 99%

Magnetic field effects on a nanowire with inhomogeneous Rashba spin-orbit coupling: Spin properties at equilibrium

Dolcini

Rossi

2018

Phys. Rev. B

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By modeling a Rashba nanowire contacted to leads via an inhomogeneous spin-orbit coupling profile, we investigate the equilibrium properties of the spin sector when a uniform magnetic field is applied along the nanowire axis. We find that the interplay between magnetic field and Rashba coupling generates a spin current, polarised perpendicularly to the applied field and flowing through the nanowire even at equilibrium. In the nanowire bulk such effect persists far beyond the regime where the nanowire mimics the helical states of a quantum spin Hall system, while in the leads the spin current is suppressed. Furthermore, despite the nanowire not being proximized by superconductors, at the interfaces with the leads we predict the appearance of localized spin torques and spin polarizations, orthogonal to the magnetic field and partially penetrating into the leads. This feature, due to the inhomogeneity of the Rashba coupling, suggests to use caution in interpreting spin polarization as signatures of Majorana fermions. When the magnetic field has a component also along the Rashba field, its collinearity with the spin polarization and orthogonality to the spin current are violated in the nanowire bulk too. We analyze these quantities in terms of the magnetic field and chemical potential for both long and short nanowires in experimentally realistic regimes.

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Polarization of the Majorana quasiparticles in the Rashba chain

Cited by 25 publications

References 25 publications

Interplay between pairing and correlations in spin-polarized bound states

Interplay between pairing and correlations in spin-polarized bound states

Leakage of Majorana mode into correlated quantum dot nearby its singlet-doublet crossover

Magnetic field effects on a nanowire with inhomogeneous Rashba spin-orbit coupling: Spin properties at equilibrium

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