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Using an effective Hamiltonian with d-wave superconductivity (dSC) andcompeting antiferromagnetic (AF) interactions, we show that weak andone-dimensionally modulated dSC, spin density wave (SDW) and charge densitywave (CDW) could coexist in the ground state configuration. With properparameters, the SDW order exhibits a period of 8a, while for dSC and CDW ordersthe period is 4a. The local density of states (LDOS), which probing thebehavior of quasiparticle excitations, is found to have the identicalstripe-like structure as those in dSC and CDW orders. We point out that anyenergy dependent modulations should come from the scatterings of thequasiparticles from weak defects. The LDOS as a function of the bias voltageare showing two small bumps within the superconducting coherence peaks, asignature of presence of the stripes. When a strong impurity like Zn is placedin such a system, the LDOS at its nearest neighboring sites are suppressed atthe zero bias by the local AF order and show a double-peak structure

Local density of states in ad-wave superconductor with stripelike modulations and a strong impurity