Impurity-Induced Virtual Bound States in d-Wave Superconductors

Abstract

It is shown that a single, strongly scattering impurity produces a bound or a virtual bound quasiparticle state inside the gap in a $d$-wave superconductor. The explicit form of the bound state wave function is found to decay exponentially with angle-dependent range. These states provide a natural explanation of the second Cu NMR rate arising from the sites close to Zn impurities in the cuprates. Finally, for finite concentration of impurities in a $d$-wave superconductor, we reexamine the growth of these states into an impurity band, and discuss the Mott criterion for this band.

12 pages and 2 figures, RevTex, LA-UR-94-1944

References in corpus (1)

• Impurities and Quasi-One Dimensional Transport in a D-wave Superconductor

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