Topological properties of helical Shiba chains with general impurity strength and hybridization

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@article{7d1dc3145da3408993463640f2b6bcc0,
title = "Topological properties of helical Shiba chains with general impurity strength and hybridization",
abstract = "Recent experiments announced an observation of topological superconductivity and Majorana quasiparticles in Shiba chains, consisting of an array of magnetic atoms deposited on top of a superconductor. In this work we study helical Shiba chains and generalize the microscopic theory of subgap energy bands to a regime where the decoupled magnetic impurity energy and the hybridization of different impurity states can be significant compared to the superconducting gap of the host material. From exact solutions of the Bogoliubov-de Gennes equation we extract expressions for the topological phase boundaries for arbitrary values of the superconducting coherence length. The subgap spectral problem can be formulated as a nonlinear matrix eigenvalue problem from which we obtain an analytical solution for energy bands in the long coherence length limit. Physical consequences and departures from the previously obtained results in the deep dilute impurity limit are discussed in detail.",
author = "A. Weststr{\"o}m and K. P{\"o}yh{\"o}nen and T. Ojanen",
note = "VK: Low Temperature Laboratory",
year = "2015",
doi = "10.1103/PhysRevB.91.064502",
language = "English",
volume = "91",
pages = "1--9",
journal = "Physical Review B (Condensed Matter and Materials Physics)",
issn = "2469-9950",
publisher = "American Physical Society",
number = "6",

}

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TY - JOUR

T1 - Topological properties of helical Shiba chains with general impurity strength and hybridization

AU - Westström, A.

AU - Pöyhönen, K.

AU - Ojanen, T.

N1 - VK: Low Temperature Laboratory

PY - 2015

Y1 - 2015

N2 - Recent experiments announced an observation of topological superconductivity and Majorana quasiparticles in Shiba chains, consisting of an array of magnetic atoms deposited on top of a superconductor. In this work we study helical Shiba chains and generalize the microscopic theory of subgap energy bands to a regime where the decoupled magnetic impurity energy and the hybridization of different impurity states can be significant compared to the superconducting gap of the host material. From exact solutions of the Bogoliubov-de Gennes equation we extract expressions for the topological phase boundaries for arbitrary values of the superconducting coherence length. The subgap spectral problem can be formulated as a nonlinear matrix eigenvalue problem from which we obtain an analytical solution for energy bands in the long coherence length limit. Physical consequences and departures from the previously obtained results in the deep dilute impurity limit are discussed in detail.

AB - Recent experiments announced an observation of topological superconductivity and Majorana quasiparticles in Shiba chains, consisting of an array of magnetic atoms deposited on top of a superconductor. In this work we study helical Shiba chains and generalize the microscopic theory of subgap energy bands to a regime where the decoupled magnetic impurity energy and the hybridization of different impurity states can be significant compared to the superconducting gap of the host material. From exact solutions of the Bogoliubov-de Gennes equation we extract expressions for the topological phase boundaries for arbitrary values of the superconducting coherence length. The subgap spectral problem can be formulated as a nonlinear matrix eigenvalue problem from which we obtain an analytical solution for energy bands in the long coherence length limit. Physical consequences and departures from the previously obtained results in the deep dilute impurity limit are discussed in detail.

UR - http://dx.doi.org/10.1103/PhysRevB.91.064502

U2 - 10.1103/PhysRevB.91.064502

DO - 10.1103/PhysRevB.91.064502

M3 - Article

VL - 91

SP - 1

EP - 9

JO - Physical Review B (Condensed Matter and Materials Physics)

JF - Physical Review B (Condensed Matter and Materials Physics)

SN - 2469-9950

IS - 6

M1 - 064502

ER -

ID: 2002082