Nonlocal effects on the surface resistance of high-temperature superconductors with (100) and (110) surfaces

The low-temperature surface resistance Rs of d-wave superconductors is calculated as function of frequency assuming normal state quasiparticle mean free paths l in excess of the penetration depth. Results depend strongly on the geometric configuration. In the clean limit, two contributions to Rs with different temperature dependencies are identified: photon absorption by quasiparticles and pair breaking. The size of nonlocal corrections, which can be positive or negative depending on frequency decreases for given l as the scattering phase shift δN is increased. However, except in the unitarity limit δN = 0.5π, nonlocal effects should be observable.