Strong disorders in cuprate superconductors in d-density wave state

The local density of states on strong disordered d-wave superconductor in d-density wave state is studied. Recently, E.W. Hudson et al [Nature Physics 4, 108 (2008) ], reported a method to investigate the pseudogap. We explore the selfconsistent Bogoliubov-de Genns' equations with strong disorders. The quantum interference leading to definitive quasipartical spectra has also been considered. Without d- density wave state, the numerical results are in satisfactory agreement with the observations from STM experiments. With d- densitywave state, a new result can be used to determine the properties of pseudogap.