### Abstract

We report self-consistent quasiclassical calculations of spontaneous currents and magnetic moments in finite size unconventional superconducting systems, namely, (i) in isolated d-wave superconductor islands where, in addition to the dominant order parameter (with a d_{x}^{2}-_{y}^{2} symmetry), a subdominant order parameter of s or d_{xy} symmetry is added; and (ii) in grain boundary junctions between two arbitrarily oriented d-wave superconductors, and between d- and s-wave superconductors. We show that the profile of the spontaneous current density and the magnetic field distribution depend on the time-reversal symmetry breaking properties of the system. For the d_{x}^{2}-_{y}^{2}+id_{xy} state, vortices appear near the edges of the finite size systems. We associate these vortices with the chiral nature of the mixed order parameter. The method developed here is quite general, and can be used for predicting properties of any finite size superconducting system.

Original language | English |
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Article number | 174515 |

Pages (from-to) | 1745151-1745155 |

Number of pages | 5 |

Journal | Physical Review B - Condensed Matter and Materials Physics |

Volume | 66 |

Issue number | 17 |

Publication status | Published - 1 Nov 2002 |

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### ASJC Scopus subject areas

- Electronic, Optical and Magnetic Materials
- Condensed Matter Physics

### Cite this

*Physical Review B - Condensed Matter and Materials Physics*,

*66*(17), 1745151-1745155. [174515].