The Zinc Doping Induced STM Resonance as a Zero Mode

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We show that the Zinc doping induced STM resonance in high-Tc cuprates is a zero mode - a d-wave monomer confined in the opposite sublattice of the Zinc site. We propose that the resonance come from the superconducting peak around (π,0) as observed in ARPES experiments. It is predicted that the resonance should vanish in single layer BSCCO₂₂₀₁ or in the vortex core of underdoped cuprate where the ARPES peak is absent. We argue that the STM result imply the ARPES peak around (π,0) is the only coherent feature in the whole Brillouin zone.