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
14 - Mixed State
Published online by Cambridge University Press: 17 June 2022
- 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 14 introduces the theory of d-wave superconductors in the mixed state. It starts with a detailed derivation for the Caroli-de Gennes-Matricon vortex core states and then discusses the properties of low-lying excitations under the semi-classical approximation. The universal scaling laws for several different thermodynamic quantities are derived and compared with experimental observations for high-Tc cuprates.
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- Information
- D-wave Superconductivity , pp. 324 - 342Publisher: Cambridge University PressPrint publication year: 2022