## Abstract

We consider an asymmetric 0-π Josephson junction consisting of 0 and π regions of different lengths L_{0} and L_{π}. As predicted earlier this system can be described by an effective sine-Gordon equation for the spatially averaged phase ψ so that the effective current-phase relation of this system includes a negative second harmonic sin (2ψ). If its amplitude is large enough, the ground state of the junction is doubly degenerate ψ=±φ, where φ depends on the amplitudes of the first and second harmonics. We study the behavior of such a junction in an applied magnetic field H and demonstrate that H induces an additional term Hcos ψ in the effective current-phase relation. This results in a nontrivial ground state tunable by magnetic field. The dependence of the critical current on H allows for revealing the ground state experimentally.

Original language | English |
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Article number | 227001 |

Journal | Physical Review Letters |

Volume | 107 |

Issue number | 22 |

DOIs | |

State | Published - 21 Nov 2011 |