Majorana quasiparticles of an inhomogeneous Rashba chain

Maśka, Maciej M.; Gorczyca-Goraj, Anna; Tworzydło, J.; Domański, T.

doi:10.1103/physrevb.95.045429

Cited by 24 publications

(18 citation statements)

References 68 publications

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“…1.a. This quantum defect can be regarded as an internal boundary, which could induce a new pair of Majorana quasiparticles [16] that could be used e.g. for quantum computation [17][18][19].…”

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confidence: 99%

Quantum engineering of Majorana quasiparticles in one-dimensional optical lattices

Ptok

Cichy

Domański

2018

J. Phys.: Condens. Matter

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We propose a feasible way of engineering Majorana-type quasiparticles in ultracold fermionic gases on a one-dimensional (1D) optical lattice. For this purpose, imbalanced ultracold atoms interacting by the spin-orbit coupling should be hybridized with a three-dimensional Bose-Einstein condensate molecular cloud. We show that the Majorana-type excitations can be created or annihilated upon constraining the profile of a trapping potential and/or an internal scattering barier. This process is modeled within the Bogoliubov-de Gennes approach. Our study is relevant also to nanoscopic 1D superconductors, where both potentials can be imposed by electrostatic means.

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confidence: 99%

Quantum engineering of Majorana quasiparticles in one-dimensional optical lattices

Ptok

Cichy

Domański

2018

J. Phys.: Condens. Matter

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“…In contrary, when the system is in the non-trivial topological phase (h > h c ) the bound states are realized in the form of the MBS localized outside the QD region [ Fig. 4(f)] [54]. Those properties can be explained by the interplay of the defect (in the QD form) with the rest of the system and additionally its influence on the band structure, what will be discussed in the Sec.…”

Section: Real Space Descriptionmentioning

confidence: 99%

Electrostatic formation of the Majorana quasiparticles in the quantum dot-nanoring structure

Kobiałka

Ptok

2019

J. Phys.: Condens. Matter

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Zero-energy Majorana quasiparticles can be induced at the edge of a low dimensional systems. Non-Abelian statistics of this state makes it a good candidate for the realization of quantum computing. From the practical point of view, it is crucial to obtain an intentional creation and manipulation of this type of bound states. Here, we show such a possibility in a setup of quantum nanoring in which we specify a quantum dot region via electrostatic means. States in such quantum dot can lead to the emergence of Andreev and Majorana bound states in investigated system. We study the differences between those bound states and the possibility of their manipulation. Moreover, exact calculation method for spectral function has been proposed, which can be used to discuss the bound states influence on band structure of proposed system. Using this method, it can be shown that the Majorana bound states, induced at the edge of the system, present themselves as a dispersionless zero-energy band. *

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“…By solving the problem numerically, however, we can estimate percentage with which the true quasiparticles are represented by the initial spin. We have recently emphasized [43], that amplitude of the intersite pairing (between identical spin electrons) differs several times for ↑ and ↓ sectors. This leads to an obvious polarization of the YSR and Majorana quasiparticles (the latter appearing near the nanochain edges).…”

Section: Magnetically Polarized Majorana Quasiparticlesmentioning

confidence: 99%

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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Majorana quasiparticles of an inhomogeneous Rashba chain

Cited by 24 publications

References 68 publications

Quantum engineering of Majorana quasiparticles in one-dimensional optical lattices

Quantum engineering of Majorana quasiparticles in one-dimensional optical lattices

Electrostatic formation of the Majorana quasiparticles in the quantum dot-nanoring structure

Interplay between pairing and correlations in spin-polarized bound states

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