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Impurity effects in quasiparticle spectrum of high-*T*_{c} superconductors (Review Article)

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10.1063/1.3651472

### Abstract

The revision is made of Green function methods that describe the dynamics of electronic quasiparticles in disordered superconducting systems with *d*-wave symmetry of order parameter. Various types of impurity perturbations are analyzed within the simplest T-matrix approximation. The extension of the common self-consistent T-matrix approximation (SCTMA) to the so-called group expansions in clusters of interacting impurity centers is discussed and hence the validity criteria for SCTMA are established. A special attention is paid to the formation of impurity resonance states and localized states near the characteristic points of energy spectrum, corresponding to nodal points on the Fermi surface.

© 2011 American Institute of Physics

Published online 29 November 2011

Article outline:

I. INTRODUCTION

II. GENERAL FORMALISM

III. GREEN FUNCTION METHOD FOR *d*-WAVE SUPERCONDUCTOR

A. Impurity perturbation and group expansions

IV. IMPURITY EFFECTS ON SUPERCONDUCTING STATE

V. OTHER TYPES OF IMPURITY CENTERS

A. Extended impurity center

B. Magnetic perturbation from nonmagnetic impurity

VI. SELF-CONSISTENT APPROACH AND ITS VALIDITY

A. Ioffe–Regel–Mott criterion and validity of SCTMA solutions

VII. GROUP EXPANSIONS AND LOCALIZATION OF NODAL QUASIPARTICLES

A. Interaction matrices and DOS at nodal points

B. Nonmagnetic impurities

C. Magnetic impurities

VIII. INTERACTION BETWEEN IMPURITIES AND COLLAPSE OF ANTINODAL QUASIPARTICLES

IX. CONCLUSIONS

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2011-11-29

2014-04-20

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