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We investigate the impurity resonant state induced by non-magnetic impuritiesin d-wave cuprate superconductors in two different impurity models: (i) in apure potential scattering model within the T-matrix approach and (ii) in aBose-Fermi Kondo model within the large-N formalism. We modify thesuperconducting host to resemble the nanoscale electronic inhomogeneities seenin the scanning tunneling microscopy (STM) spectra (i.e., the small- andlarge-gap domains) and study how this influences the impurity resonance. In thepure potential scattering model the resonant state is found to be a ratherrobust feature appearing in all host domains. On the other hand, in theKondo-like model the impurity resonance can appear in the small-gap regions ofthe host and be completely suppressed in the large-gap regions; this is inagreement with the STM experimental data for Zn-doped BSCCO. Our results implythat the Kondo spin dynamics of the impurity moment is the origin of theimpurity resonant state in d-wave superconductors, rather than the purepotential scattering.Comment: 11 pages, 7 fig

physical review. b, condensed matter and materials physics

Impurity resonant state in<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>d</mml:mi></mml:math>-wave superconductors: In favor of a Kondo-like response

Impurity resonant state ind-wave superconductors: In favor of a Kondo-like response