A theoretical view of vortex core states and of their effects on physics of
vortices in clean s- and d-wave-type II superconductors is presented based
on a semi-classical picture of a vortex core as an Andreev potential well
containing many quasiparticle states. We discuss the density of states, the
vortex dissipation, Hall effect, and the vortex mass. The dynamic characte
ristics are determined by relaxation of core excitations driven by a moving
vortex. In a d-wave superconductor, gap nodes make the con states more ext
ended and introduce novel features into thermodynamics and kinetics of vort
ices. (C) 2000 Published by Elsevier Science B.V. All rights reserved.