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We study the Josephson transport in a high-Tcsuperconductor/ferromagnetic-insulator(FI)/high-Tc superconductor numerically.We found the formation of a pi-junction in such systems. More remarkably theground state of such junction alternates between 0- and pi-states whenthickness of FI is increasing by a single atomic layer. We propose anexperimental setup for observing the atomic-scale 0-pi transition. SuchFI-based pi-junctions can be used to implement highly-coherent quantum bits.

Atomic scale 0-pi transition in a high-Tc superconductor/ferromagnetic-insulator/high-T superconductor Josephson junction