Spectrum of Andreev bound states in Josephson junctions with a ferromagnetic insulator

S. Kawabata, Y. Tanaka, Alexandre Avraamovitch Golubov, A. Vasenko, Y. Asano

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Ferromagnetic-insulator (FI) based Josephson junctions are promising candidates for a coherent superconducting quantum bit as well as a classical superconducting logic circuit. Recently the appearance of an intriguing atomic-scale 0–π transition has been theoretically predicted. In order to uncover the mechanism of this phenomena, we numerically calculate the spectrum of Andreev bound states in a FI barrier by diagonalizing the Bogoliubov–de Gennes equation. We show that Andreev spectrum drastically depends on the parity of the FI-layer number L and accordingly the π(0) state is always more stable than the 0 (π) state if L is odd (even).
Original languageEnglish
Pages (from-to)3467-3470
JournalJournal of magnetism and magnetic materials
Issue number21
Publication statusPublished - 2012


  • METIS-289252
  • IR-82262

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