Heavy-Fermion Systems (eBook)

Cover 1
Preface 8
Contents 12
Chapter 1. Overview of Heavy Fermion Systems 16
References 21
Chapter 2. Kondo Lattice, Mixed Valence, and Heavy Fermions 24
2.1. Periodic Anderson and Kondo-lattice models 24
2.2. Theoretical approaches (for solution of renormalized Hamiltonian) 26
2.3. Cluster calculations 29
References 34
Chapter 3. Dynamical, Extended Dynamical, and Cluster Dynamical Mean-Field Theories: (DMFT, EDMFT, and Cluster DMFT) 38
3.1. The local impurity self-consistent approximation (LISA) 38
3.2. Brief discussions of the dynamical mean-field equations 41
3.3. Methods of solution 43
3.4. Application of LISA to periodic Anderson model 45
3.5. Kondo insulators 47
3.6. The multichannel Kondo lattice 47
3.7. RKKY interaction 49
3.8. Extended dynamical mean-field theory (EDMFT) 50
3.9. Quantum cluster theories 61
References 63
Chapter 4. Fermi-Liquid, Heavy Fermi-Liquid, and Non-Fermi-Liquid Models 66
4.1. Fermi-liquid theory of Landau 66
4.2. Fermi-liquid model for Kondo-lattice systems 68
4.3. Heavy Fermi liquids 72
4.4. Non-Fermi-liquid behavior in f electron metals 78
4.5. The quadrupolar Kondo model 81
4.6. Quantum-critical point theories 82
4.7. Weak-coupling theories 83
4.8. Strong-coupling theories 86
References 99
Chapter 5. Metamagnetism in Heavy Fermions (Experimental Review) 102
5.1. Introduction 102
5.2. CeRu2Si2 103
5.3. Sr3Ru2O7 107
5.4. CeCu6-xAux 113
5.5. UPt3 114
5.6. UPd2Al3 116
5.7. URu2Si2 117
5.8. CePd2Si2 121
5.9. YbRh2Si2 123
5.10. CeIr3Si2 125
References 126
Chapter 6. Theory of Metamagnetism in Heavy Fermions 130
6.1. Review of theoretical models 130
6.2. Strong-coupling spin-fluctuation theory in the high-field state 130
6.3. Metamagnetic transition in a small cluster t–J model 132
6.4. Competition between local quantum spin fluctuations and magnetic-exchange interaction 135
6.5. Itinerant electrons and local moments in high and low magnetic fields 139
References 152
Chapter 7. Heavy Fermion Superconductors (Ce-Based Compounds) 156
7.1. Overview 156
7.2. CeCu2Si2 157
7.3. CeCu2Ge2 165
7.4. CePd2Si2 165
7.5. CePd2Ge2 167
7.6. CeRh2Si2 169
7.7. CeNi2Ge2 170
7.8. CeIn3 171
7.9. CePt3Si 174
7.10. CeCoIn5 178
7.11. CeRhIn5 182
7.12. CeIrIn5 183
7.13. CeNiGe3 186
7.14. Ce2Ni3Ge5 190
7.15. Summary and conclusion 190
References 193
Chapter 8. U-Based Superconducting Compounds 198
8.1. Overview 198
8.2. UBe13 199
8.3. UPt3 203
8.4. URu2Si2 216
8.5. UPd2Al3 223
8.6. UNi2Al3 230
8.7. UGe2 234
8.8. URhGe 236
8.9. UIr 240
References 243
Chapter 9. Filled Skutterdites and Transuranium Heavy Fermion Superconductors 250
9.1. Filled skutterdites 250
9.2. PrOs4Sb12 250
9.3. PuCoGa5 259
9.4. PuRhGa5 262
9.5. Similarities between Cu and Pu containing high TcŽ superconductors 266
References 267
Chapter 10. Brief Review of Theories of Heavy Fermion Superconductivity 270
10.1. Introduction 270
10.2. BCS theory of anisotropic superconductivity 271
10.3. Symmetry classifications and generalized Ginzburg–Landau theory 275
10.4. Density of states of quasiparticles 279
10.5. Collective modes 280
10.6. Coexistence of antiferromagnetism and superconductivity 281
10.7. Influence of antiferromagnetic fluctuations in superconductivity 284
10.8. Fulde–Ferrell–Larkin–Ovchinnikov (FFLO) superconducting state 286
10.9. Magnetically mediated superconductivity 288
10.10. Superconductivity due to valence fluctuations 291
10.11. Magnetic-exciton-mediated superconductivity 296
10.12. Quadrupolar exciton exchange 299
References 302
Chapter 11. Kondo Insulators 306
11.1. Introduction 306
11.2. Ce3Bi4Pt3 308
11.3. CeRhAs 311
11.4. CeRhSb 315
11.5. CeNiSn 315
11.6. CeRu4Sn6 321
11.7. U2Ru2Sn 323
11.8. CeFe4P12 and CeRu4P12 326
11.9. CeOs4Sb12 328
11.10. UFe4P12 331
11.11. TmSe 332
11.12. U2Ru2Sn 335
11.13. YbB12 337
11.14. SmB6 339
11.15. SmS 340
11.16. Theory of Kondo insulators 341
References 345
Subject Index 350