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We consider the influence of magnetic excitations on the local density ofstates in the d-wave superconductor. The magnetic susceptibility is calculatedwithin the renormalized $t-t'-J$ model and its influence on the quasiparticleself-energy is considered using a minimal model originally proposed byPolkovnikov {\it et al.}[cond-mat/0203176]. We find the local density of statespossess periodic components both along $(\pi,0)$ and $(\pi,\pi)$ directionswith the associated wavevectors changing in magnitude as the quasiparticleenergy is varied. Comparison with the STM experiment reveals that thecalculated LDOS modulation is inconsistent with the measured data.Comment: Two figures separately attached as .jpg file

Signature of a collective spin mode in the local tunneling spectra of ad-wave superconductor