Vortex Structures in an Anisotropic Pairing Superconducting State with Odd-Parity

Abstract

In order to understand the phase diagram H vs T in UPt 3 the possible vortex structures are investigated theoretically. Our study is based on the pairing function which belongs to one-dimensional representation with odd-parity. In addition to the usual Abrikosov vortex two kinds of the non-trivial vortices are found where the multiple components of the pairing function are simultaneously non-vanishing. Each vortex solution corresponds to the triangular and square lattices. They should appear in a low field region ( H <0.1 H c2 ) for the reasonable parameter values. Recent experiments on UPt 3 , in particular, the small angle neutron experiment for the vortex structure investigations, are discussed in this connection.