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D-wave Superconductivity [Kõva köide]

(Chinese Academy of Sciences, Beijing), (Westlake University, Hangzhou)
  • Formaat: Hardback, 400 pages, kõrgus x laius x paksus: 250x175x27 mm, kaal: 850 g, Worked examples or Exercises
  • Ilmumisaeg: 09-Jun-2022
  • Kirjastus: Cambridge University Press
  • ISBN-10: 100921859X
  • ISBN-13: 9781009218597
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  • Formaat: Hardback, 400 pages, kõrgus x laius x paksus: 250x175x27 mm, kaal: 850 g, Worked examples or Exercises
  • Ilmumisaeg: 09-Jun-2022
  • Kirjastus: Cambridge University Press
  • ISBN-10: 100921859X
  • ISBN-13: 9781009218597
"This volume provides a comprehensive introduction to the theory of d-wave superconductivity, focused on d-wave pairing symmetry and its physical consequences in the superconducting state. It discusses the basic concepts and methodologies related to high-temperature superconductivity and compares experimental phenomena with theoretical predictions. After a brief introduction to the basic theory of superconductivity and several models for high-temperature superconductivity, this book presents detailed derivations and explanations for various single-particle and collective properties of d-wave superconductors that can be monitored experimentally, including thermodynamics, angular-resolved photo-emission, single-particle and Josephson tunnelling, impurity scattering, magnetic and superfluid responses, transport and optical properties and mixed states. Various universal behaviours of d-wave superconductors are highlighted. Aimed primarily at graduate students and research scientists in condensed matter and materials physics, this text enables readers to understand systematically the physical properties of high-temperature superconductors"--

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A thorough introduction to d-wave superconductivity, which systematically compares experimental phenomena with theoretical predictions.
Preface ix
Abbreviations xii
1 Introduction to Superconductivity
1(44)
1.1 Basic Properties of Superconductivity
1(2)
1.2 Two-Fluid Model and London Equations
3(3)
1.3 Cooper Pairing
6(2)
1.4 BCS Mean Field Theory
8(5)
1.5 Bogoliubov-de Gennes Self-consistent Equation
13(1)
1.6 Charge and Probability Current Density Operators
14(3)
1.7 Off-Diagonal Long-Range Order
17(2)
1.8 Ginzburg-Landau Free Energy
19(4)
1.9 Two Length Scales
23(1)
1.10 Two Types of Superconductor
24(4)
1.11 Spontaneous Symmetry Breaking and Meissner Effect
28(1)
1.12 Two Characteristic Energy Scales
29(3)
1.13 Pairing Mechanism
32(1)
1.14 Classification of Pairing Symmetry
33(4)
1.15 Pairing Symmetry of Cuprate Superconductors
37(4)
1.16 Pairing Symmetry of Iron-Based Superconductors
41(4)
2 Microscopic Models for High Temperature Superconductors
45(27)
2.1 Phase Diagram of Cuprate Superconductors
45(4)
2.2 Antiferromagnetic Insulating States
49(2)
2.3 Three-Band Model
51(2)
2.4 DP Model of Interacting Spins and Holes
53(3)
2.5 Zhang--Rice Singlet
56(1)
2.6 Hubbard Model
57(3)
2.7 Interlayer Electronic Structures
60(2)
2.8 Systems with Zn or Ni Impurities
62(10)
3 Basic Properties of d-wave Superconductors
72(21)
3.1 d-Wave Gap Equation
72(2)
3.2 Temperature Dependence of the d-Wave Energy Gap
74(5)
3.3 Density of States
79(2)
3.4 Entropy
81(3)
3.5 Specific Heat
84(3)
3.6 Gap Operators in the Continuum Limit
87(4)
3.7 Current Operators
91(2)
4 Quasiparticle Excitation Spectra
93(17)
4.1 Single-Particle Spectral Function
93(2)
4.2 ARPES
95(6)
4.3 Fermi Surface and Luttinger Sum Rule
101(2)
4.4 Particle--Hole Mixing and Superconducting Energy Gap
103(4)
4.5 Scattering Between Quasiparticles
107(3)
5 Tunneling Effect
110(29)
5.1 Interface Scattering
110(5)
5.2 Tunneling Conductance
115(2)
5.3 Scattering from the δ-Function Interface Potential
117(7)
5.4 Surface Bound State
124(2)
5.5 Tunneling Hamiltonian
126(4)
5.6 Tunneling Current
130(3)
5.7 Tunneling Effect of Quasiparticles
133(6)
6 Josephson Effect
139(19)
6.1 Josephson Tunneling Current
139(4)
6.2 Spontaneous Magnetic Flux Quantization
143(2)
6.3 Phase-Sensitive Experiments
145(9)
6.4 Paramagnetic Meissner Effect
154(4)
7 Single Impurity Scattering
158(26)
7.1 Nonmagnetic Impurity Scattering
158(7)
7.2 Resonance State
165(2)
7.3 Correction to the Density of States
167(4)
7.4 Tunneling Spectrum of Zinc Impurity
171(2)
7.5 Comparison with Anisotropic 5-Wave Pairing State
173(2)
7.6 Classical Spin Scattering
175(3)
7.7 Kondo Effect
178(1)
7.8 Quasiparticle Interference
179(5)
8 Many-Impurity Scattering
184(20)
8.1 Scattering Potential and Disorder Average
184(2)
8.2 Self-Energy Function
186(4)
8.3 Born Scattering Limit
190(3)
8.4 Resonant Scattering Limit
193(3)
8.5 Correction to the Superconducting Critical Temperature
196(3)
8.6 Density of States
199(3)
8.7 Entropy and Specific Heat
202(2)
9 Superfluid Response
204(36)
9.1 Linear Response Theory of Superfluids
204(4)
9.2 Superfluid Density
208(2)
9.3 Superfluid Response in Cuprate Superconductors
210(8)
9.4 Impurity Correction
218(4)
9.5 Superfluid Response in a Weakly Coupled Two-Band Superconductor
222(4)
9.6 Electron-Doped Cuprate Superconductors
226(3)
9.7 Nonlinear Effect
229(6)
9.8 Non-linear Correction to the Penetration Depth
235(1)
9.9 Nonlocal Effect
236(4)
10 Optical and Thermal Conductivities
240(28)
10.1 Optical Conductivity
240(2)
10.2 Optical Sum Rule
242(3)
10.3 Light Absorption in the Dirty Limit
245(6)
10.4 Effect of Elastic Impurity Scattering
251(4)
10.5 Microwave Conductivity of Cuprate Superconductors
255(5)
10.6 Heat Current Density Operator
260(3)
10.7 Universal Thermal Conductivity
263(5)
11 Raman Spectroscopy
268(16)
11.1 Raman Response Function
268(3)
11.2 Vertex Function
271(2)
11.3 Vertex Correction by the Coulomb Interaction
273(2)
11.4 Raman Response in a Superconducting State
275(3)
11.5 Effect of Nonmagnetic Impurity Scattering
278(1)
11.6 Experimental Results of Cuprate Superconductors
279(5)
12 Nuclear Magnetic Resonance
284(22)
12.1 Spin Correlation Function
284(2)
12.2 Hyperfine Interaction
286(3)
12.3 Knight Shift
289(1)
12.4 Spin-Lattice Relaxation
290(7)
12.5 Effect of Impurity Scattering
297(1)
12.6 Impurity Resonance States
298(5)
12.7 Experimental Results of Cuprate Superconductors
303(3)
13 Neutron Scattering Spectroscopy
306(18)
13.1 Neutron Scattering and Magnetic Susceptibility
306(3)
13.2 Magnetic Resonances in High-Tc Superconductors
309(4)
13.3 Implications of the Magnetic Resonances
313(1)
13.4 Origin of the Magnetic Resonance
314(10)
14 Mixed State
324(19)
14.1 Caroli--de Gennes--Matricon Vortex Core State
324(7)
14.2 Semiclassical Approximation
331(4)
14.3 Low-Energy Density of States
335(4)
14.4 Universal Scaling Laws
339(4)
Appendix A Bogoliubov Transformation 343(3)
Appendix B Hohenberg Theorem 346(6)
Appendix C Degenerate Perturbation Theory 352(2)
Appendix D Anderson Theorem 354(2)
Appendix E Sommerfeld Expansion 356(2)
Appendix F Single-Particle Green's Function 358(5)
Appendix G Linear Response Theory 363(3)
References 366(18)
Index 384
Tao Xiang is a Professor at the Institute of Physics, Chinese Academy of Sciences (CAS), working on Condensed Matter Physics. He is an elected CAS member and a fellow of the World Academy of Sciences. He received the He-Leung-He-Lee Prize for Scientific and Technological Progress and several other awards. Congjun Wu is a Professor at Westlake University, working on exploring new states of matter in condensed matter and cold atom systems, including superconductivity, magnetism, orbital physics, topological states, and quantum Monte-Carlo simulations. He was elected to be a fellow of American Physical Society in 2018, and awarded Sloan Research Fellowship in 2008.