The Meissner effect in diffusive normal metal/insulator/d-wave superconductor junctions is studied theoretically in the framework of the Usadel equation under the generalized boundary condition. The effect of midgap Andreev resonant states (MARS) formed at the interface of d-wave superconductor is taken into account. It is shown that the formation of MARS suppresses the susceptibility of the diffusive normal metal.
Yokoyama, T., Tanaka, Y., Golubov, A. A., Inoue, J., & Asano, Y. (2005). Meissner effect in diffusive normal metal/d-wave superconductor junctions. Journal of physics and chemistry of solids, 66(8-9), 1395-1397. https://doi.org/10.1016/j.jpcs.2005.05.070