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Impurity-induced virtual bound states in d-wave superconductors

A. V. Balatsky, M. I. Salkola, A. Rosengren

DOI 10.1103/PhysRevB.51.15547 · Physical Review B

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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 density of impurities in a d-wave superconductor, we re-examine the growth of these states into an impurity band, and discuss the Mott criterion for the metal-insulator transition in this band.

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FormulaReported Tc (K)Pressure (GPa)Type
YBa2Cu3O7-δ

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—Pressure not reportedunknown

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