Book contents
- Frontmatter
- Contents
- Preface
- Abbreviations
- 1 Introduction to Superconductivity
- 2 Microscopic Models for High Temperature Superconductors
- 3 Basic Properties of d-wave Superconductors
- 4 Quasiparticle Excitation Spectra
- 5 Tunneling Effect
- 6 Josephson Effect
- 7 Single Impurity Scattering
- 8 Many-Impurity Scattering
- 9 Superfluid Response
- 10 Optical and Thermal Conductivities
- 11 Raman Spectroscopy
- 12 Nuclear Magnetic Resonance
- 13 Neutron Scattering Spectroscopy
- 14 Mixed State
- Appendix A Bogoliubov Transformation
- Appendix B Hohenberg Theorem
- Appendix C Degenerate Perturbation Theory
- Appendix D Anderson Theorem
- Appendix E Sommerfeld Expansion
- Appendix F Single-Particle Green’s Function
- Appendix G Linear Response Theory
- References
- Index
7 - Single Impurity Scattering
Published online by Cambridge University Press: 17 June 2022
Book contents
- Frontmatter
- Contents
- Preface
- Abbreviations
- 1 Introduction to Superconductivity
- 2 Microscopic Models for High Temperature Superconductors
- 3 Basic Properties of d-wave Superconductors
- 4 Quasiparticle Excitation Spectra
- 5 Tunneling Effect
- 6 Josephson Effect
- 7 Single Impurity Scattering
- 8 Many-Impurity Scattering
- 9 Superfluid Response
- 10 Optical and Thermal Conductivities
- 11 Raman Spectroscopy
- 12 Nuclear Magnetic Resonance
- 13 Neutron Scattering Spectroscopy
- 14 Mixed State
- Appendix A Bogoliubov Transformation
- Appendix B Hohenberg Theorem
- Appendix C Degenerate Perturbation Theory
- Appendix D Anderson Theorem
- Appendix E Sommerfeld Expansion
- Appendix F Single-Particle Green’s Function
- Appendix G Linear Response Theory
- References
- Index
Summary
Chapter 7 studies the single-impurity scattering effect on the density of states and other physical quantities. A low-energy resonance state induced by a unitary scattering potential is shown to exist in a d-wave superconductor, but is absent in an s-wave superconductor. The tunneling spectrum associated with a Zn impurity and the phenomenological theory of quasiparticle interference are discussed and compared with the experimental results. The in-gap resonance or bound states induced by a magnetic impurity and the Kondo effect in a d-wave superconductor are also discussed.
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- D-wave Superconductivity , pp. 158 - 183Publisher: Cambridge University PressPrint publication year: 2022