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Stability Analysis on Majorana Zero-Energy State in the Superconductor/Topological Insulator/Ferromagnet Insulator Junction

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Abstract

Based on the stability theory of differential equation, we investigate the robustness of Majorana zero-energy state (MZS) which is an important candidate for the topological quantum computation. In contrast to the prior studies exploring the stability of MZS by the numerical verification which depends on the special perturbations chosen in the simulation, our treatment is suitable for the arbitrary perturbations, so the results we obtained are reliable which is ensured by the exact mathematical theory of stability analysis. As an example, we demonstrate this by the robustness of MZS in the superconductor/topological insulator/ferromagnet insulator junction; the analytical and numerical results indicate that the MZS is unstable in this system.

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Funding

This study is supported by the National Key R&D Program of China (Grant No. 2018FYA0305804) and the Key Research Program of the Chinese Academy of Sciences (Grant No. XDPB08-3).

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Authors and Affiliations

  1. Department of Physics & CAS Center for Excellence in Topological Quantum Computation, The University of Chinese Academy of Sciences, P. O. Box 4588, Beijing, 100049, China

    Zheng-Chuan Wang

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  1. Zheng-Chuan Wang
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Correspondence to Zheng-Chuan Wang.

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Wang, ZC. Stability Analysis on Majorana Zero-Energy State in the Superconductor/Topological Insulator/Ferromagnet Insulator Junction. J Supercond Nov Magn 34, 93–98 (2021). https://doi.org/10.1007/s10948-020-05747-0

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  • DOI: https://doi.org/10.1007/s10948-020-05747-0

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