The interaction of an edge dislocation (made up of half of the superconducting plane) with a magnetic inter-layer vortex was considered within the framework of the Lawrence-Doniach model (with both negative and positive Josephson inter-layer coupling). In the first case, the binding energy of the vortex and the dislocation was calculated by using a variational procedure. The current distribution around the bound vortex was found to be asymmetrical. In the second case, the dislocation carried a spontaneous magnetic half-vortex whose binding energy with the dislocation was infinite. The half-vortex energy was calculated by using the same variational procedure.

A.B.Kuklov, A.Krakovsky, J.L.Birman: Physical Review B, 1995, 52[1], 623-8