Fractional vortices on grain boundaries --- the case for broken time reversal symmetry in high temperature superconductors

Abstract

We discuss the problem of broken time reversal symmetry near grain boundaries in a d-wave superconductor based on a Ginzburg-Landau theory. It is shown that such a state can lead to fractional vortices on the grain boundary. Both analytical and numerical results show the structure of this type of state.

9 pages, RevTeX, 5 postscript figures included

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