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We propose Josephson junction with a high-spin magnetic impurity sandwichedbetween two superconductors. This system shows a $\pi$ junction behavior as afunction of the spin magnetic moment state of the impurity, the interfacetransparency, exchange coupling and electron-electron interactions in thesystem. The system is theoretically analyzed for possible reason behind the$\pi$ shift. The crucial role of spin flip scattering is highlighted. Possibleapplications in quantum computation of our proposed tunable high spin magneticimpurity $\pi$ junction is underscored.

Tuning the 0$-\pi$ Josephson junction with a magnetic impurity: Role of tunnel contacts, exchange coupling, $e-e$ interactions and high-spin states