Abstract
In the second order of the operator form of the perturbation theory, the effective interactions in a superconducting nanowire have been obtained at the strong electron correlations, when the spin–orbit coupling parameter is comparable with the hopping integral. Using the exact diagonalization technique, in short nanowires with the open boundary conditions at the strong Coulomb repulsion, the excitations corresponding to the Majorana edge states with the energy below the value of a bulk superconducting gap have been demonstrated.
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Funding
This study was supported by the Russian Foundation for Basic Research, projects nos. 19-02-00348 and 20-3270059, the Government of the Krasnoyarsk Territory and the Krasnoyarsk Territorial Foundation for Support of Scientific and R&D Activity, projects nos. 19-42-240011 and 18-42-240014 “Single-Orbit Effective Model of an Ensemble of Spin-Polaron Quasiparticles in the Problem of Describing the Intermediate State and Pseudogap Behavior of Cuprate Superconductors,” and the Presidium of the Russian Academy of Sciences, program I.12 “Fundamental Problems of High-Temperature Superconductivity.” S.V.A. thanks the Council for Grants of the President of the Russian Federation for Governmental Support of Young Russian Scientists, project no. MK-1641.2020.2.
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Zlotnikov, A.O., Aksenov, S.V. & Shustin, M.S. Spin–Orbit Coupling-Induced Effective Interactions in Superconducting Nanowires in the Strong Correlation Regime. Phys. Solid State 62, 1612–1618 (2020). https://doi.org/10.1134/S1063783420090371
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DOI: https://doi.org/10.1134/S1063783420090371