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<p>We have theoretically studied the influence of linear, non-linear electron-phonon interactions and Rashba spin orbit interaction on formation of the localized magnetic moment and subgap Yu-Shiba-Rusinov bound state for a single-level quantum impurity embedded in an s-wave Bardeen-Cooper-Schrieffer superconductor, modeled by single-impurity Anderson-Holstein Hamiltonian. We have used time-scale separation approach combined with Bogoliubov transformation and modified Lang-Firsov transformation to decouple quadratic and linear electron-phonon interactions present on impurity. Then we used the Kikuchi-Morita cluster variation method for the calculation of ground state energy of the system. We theoretically studied the influence of Rashba spin-orbit interaction on the correlation effects of magnetic impurity embedded in an s-wave superconductor. Further, we analyze transition from single to bipolaron phase transition at the impurity site as a function external tunable Rashba spin orbit interaction strength.</p>

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The effects of Rashba spin-orbit and non-linear electron-phonon interactions on impurity-induced bound states in BCS superconductors

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  • 发表日期：

    2026年5月28日

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  • B. Navashreya,
  • Narasimha Raju Chebrolu,
  • I. V. Sankar,
  • Aalu Boda

摘要

We have theoretically studied the influence of linear, non-linear electron-phonon interactions and Rashba spin orbit interaction on formation of the localized magnetic moment and subgap Yu-Shiba-Rusinov bound state for a single-level quantum impurity embedded in an s-wave Bardeen-Cooper-Schrieffer superconductor, modeled by single-impurity Anderson-Holstein Hamiltonian. We have used time-scale separation approach combined with Bogoliubov transformation and modified Lang-Firsov transformation to decouple quadratic and linear electron-phonon interactions present on impurity. Then we used the Kikuchi-Morita cluster variation method for the calculation of ground state energy of the system. We theoretically studied the influence of Rashba spin-orbit interaction on the correlation effects of magnetic impurity embedded in an s-wave superconductor. Further, we analyze transition from single to bipolaron phase transition at the impurity site as a function external tunable Rashba spin orbit interaction strength.