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Spectrum of Andreev bound states in Josephson junctions with a ferromagnetic insulator |
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| Authors: | Shiro Kawabata Yukio Tanaka Alexander A Golubov Andrey S Vasenko Yasuhiro Asano |
| Institution: | 1. Nanosystem Research Institute (NRI), National Institute of Advanced Industrial Science and Technology (AIST), Tsukuba, Ibaraki 305-8568, Japan;2. CREST, Japan Science and Technology Corporation (JST), Kawaguchi, Saitama 332-0012, Japan;3. Department of Applied Physics, Nagoya University, Nagoya 464-8603, Japan;4. Faculty of Science and Technology, University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands;5. Institut Laue-Langevin, 6 rue Jules Horowitz, BP 156, 38042 Grenoble, France;6. Department of Applied Physics, Hokkaido University, Sapporo 060-8628, Japan |
| Abstract: | 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). |
| Keywords: | Josephson junction Spintronics Ferromagnetic insulator Quantum bit Andreev bound state Tight binding model |
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