Doppler shift on local density of states and local impurity scattering   in the vortex state
  The vortex state thermal and transport properties of the high T_c copper oxides can be understood in a d-wave gap model and are dominated by the extended quasiparticle states that exist along the nodal directions in momentum space. The Doppler shift on these states due to the circulating supercurrents around the vortex core, introduces new van Hove ridges into the energy dependent local density of states (LDOS) as a function of distance in the region between cores. We emphasize the topology of these ridges and the effect on them of local impurity scattering in Born and unitary limit. We treat possible orthorhombicity. Effective local scttering rates are also obtaines. 
E. Schachinger and J.P. Carbotte