Spatial variation of d-density-wave order in the presence of impurities

Effect of finite density of nonmagnetic impurities on a coexisting phase of d-density-wave (DDW) order and d-wave-superconducting (DSC) order is studied using Bogoliubov-de Gennes (BdG) method. The spatial variation of the inhomogeneous DDW order due to impurities has a strong correlation with that of density, which is very different from that of DSC order. The length scale associated with DDW is of the order of a few lattice spacing, and the nontrivial inhomogeneities are shown to make DDW order much more robust to the  repulsive potential, while DSC order becomes very sensitive to them. The effect of disorder on the density of states is also discussed.

Amit Ghosal
Department of Physics and Astronomy, McMaster University, Hamilton, Ontario, Canada L8S 4M1
Hae-Young Kee
Department of Physics, University of Toronto, Toronto, Ontario, Canada M5S 1A7