The Zinc Doping Induced STM Resonance as a Zero Mode

Abstract

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 $(\pi ,0)$ as observed in ARPES experiments. It is predicted that the resonance should vanish in single layer $BSCC{O}_{2201}$ 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 $(\pi ,0)$ is the only coherent feature in the whole Brillouin zone.

10 pages, 3 figures