Strongly Correlated Fermi Systems: A New State of Matter (Springer Tracts in Modern Physics)

1 Introduction 1.1 General considerations 1.2 Strong and weak interparticle interactions 1.3 Theoretical approaches to strongly correlated systems 1.4 Quantum phase transitions and NFL behavior of HF compounds 1.5 Main goals of the book References 2 Landau Fermi liquid theory 2.1 Quasiparticle paradigm 2.2 Pomeranchuk stability conditions 2.3 Thermodynamic and transport properties 2.3.1 Equation for the effective mass References 3 Density Functional Theory of Fermion Condensation 3.1 Introduction 3.2 Functional equation for the effective interaction 3.3 DFT and fermion condensation 3.4 DFT, the fermion condensation and superconductivity 3.5 Summary References 4 Topological fermion condensation quantum phase transition 4.1 The fermion-condensation quantum phase transition 4.1.1 The FCQPT order parameter 4.1.2 Quantum protectorate related to FCQPT 4.1.3 The inuence of FCQPT at nite temperatures 4.1.4 Two Scenarios of the Quantum Critical Point 4.1.5 Phase diagram of Fermi system with FCQPT 4.2 Topological phase transitions related to FCQPT References 5 Rearrangement of the single particle degrees of freedom 5.1 Introduction 5.2 Basic properties of systems with the FC 5.2.1 The case Tc 5.2.2 The case T 5.3 Validity of the quasiparticle pattern 5.3.1 Finite systems 5.3.2 Macroscopic systems 5.4 Interplay between fermion condensation and density-wave instability 5.5 Discussion References 6 Topological FCQPT in strongly correlated Fermi systems 6.1 The superconducting state with FC at T = 0 6.1.1 Green’s function of the superconducting state with FC at T = 0 6.1.2 The superconducting state at nite temperatures 6.1.3 Bogolyubov quasiparticles 6.1.4 The dependence of superconducting phase transition temperature Tc on doping 6.1.5 The gap and heat capacity near Tc 6.2 The dispersion law and lineshape of single-particle excitations 6.3 Electron liquid with FC in magnetic elds 6.3.1 Phase diagram of electron liquid in magnetic eld 6.3.2 Magnetic eld dependence of the effective mass in HF metals and high-Tc superconductors 6.4 Appearance of FCQPT in HF compounds References 7 Effective mass and its scaling behavior 7.1 Scaling behavior of the effective mass near the topological FCQPT 7.2 T/B scaling in heavy fermion compounds References 8 Quantum spin liquid in geometrically frustrated magnets and the new state of matter 8.1 Introduction 8.2 Fermion condensation 8.3 Scaling of the physical properties 8.4 The frustrated insulator Herbertsmithite ZnCu3(OH)6Cl2 8.4.1 Thermodynamic properties References 9 One dimensional quantum spin liquid 9.1 Introduction 9.2 General considerations 9.3 Scaling of the thermodynamic properties 9.4 T – H phase diagram of 1D spin liquid 9.5 Discussion and summary References 10 Dynamic magnetic susceptibility of quantum spin liquid 10.1 Dynamic spin susceptibility of quantum spin liquids and HF metals 10.2 Theory of dynamic spin susceptibility of quantum spin liquid and heavy-fermion metals 10.3 Scaling behavior of the dynamic susceptibility References 11 Spin-lattice relaxation rate and optical conductivity of quantum spin liquid 11.1 Spin-lattice relaxation rate of quantum spin liquid 11.2 Optical conductivity References 12 Quantum spin liquid in organic insulators and 3He 12.1 The organic insulators EtMe3Sb[Pd(dmit)2]2 and – (BEDT – TTF)2Cu2(CN)3 12.2 Quantum spin liquid formed with 2D 3He 12.3 Discussion 12.4 Outlook References 13 Universal behavior of the thermopower of HF compounds 13.1 Introduction 13.2 Extended quasiparticle paradigm and the scaling behavior of HF metals 13.2.1 Topological properties of systems with fermion condensate 13.2.2 Scaling behavior of HF metals 13.2.3 Universal behavior of the thermopower ST of heavy-fermion metals 13.3 Schematic T – B phase diagram 13.4 Summary References 14 Universal behavior of the heavy-fermion metal – YbAlB4 14.1 Introduction 14.2 Universal scaling behavior 14.3 The Kadowaki-Woods ratio 14.4 The schematic phase diagrams of HF compounds 14.5 Summary References 15 The universal behavior of the archetypical heavy-fermion metals YbRh2Si2 15.1 Introduction 15.2 Scaling behavior of the effective mass 15.3 Non-Fermi liquid behavior in YbRh2Si2 15.3.1 Heat capacity and the Sommerfeld coefcient 15.3.2 Average magnetization 15.3.3 Longitudinal magnetoresistance 15.3.4 Magnetic entropy 15.4 Summary References 16 Heavy fermion compounds as the new state of matter 16.1 Introduction 16.2 General properties of heavy-fermion metals 16.3 Common eld-induced quantum critical point 16.4 Summary References 17 Quasi-classical physics within quantum criticality in HF compounds 17.1 Second wind of the Dulong-Petit law at a quantum critical point 17.2 Transport properties related to the quasi-classical behavior 17.3 Quasi-classical physics and T-linear resistivity References 18 Asymmetric conductivity of strongly correlated compounds 18.1 Normal state 18.1.1 Suppression of the asymmetrical differential resistance in YbCu5-xAlx in magnetic elds 18.2 Superconducting state 18.3 Relation to the baryon asymmetry in the early Universe 18.4 Conclusion References 19 Asymmetric conductivity, pseudogap and violations of time and charge symmetries 19.1 Introduction 19.2 Asymmetric conductivity and the NFL behavior 19.3 Schematic phase diagram 19.4 Heavy fermion compounds and asymmetric conductivity 19.5 Conclusions References 20 Violation of the Wiedemann-Franz law in Strongly Correlated Electron Systems 20.1 Introduction 20.2 Wiedemann-Franz law violations 20.3 Conclusion References 21 Quantum criticality of heavy-fermion compounds 21.1 Quantum criticality of high-temperature superconductors and HF metals 21.2 Quantum criticality of quasicrystals 21.3 Quantum criticality at metamagnetic phase transitions 21.3.1 Typical properties of the metamagnetic phase transition in Sr3Ru2O7 21.3.2 Metamagnetic phase transition in HF metals 21.4 Universal Behavior of two-dimensional 3He at low temperatures 21.5 Scaling behavior of HF compounds and kinks in the thermodynamic functions 21.6 New state of matter References 22 Quantum criticality, T -linear resistivity and Planckian limit 22.1 Introduction 22.2 Phase diagram 22.3 Planckian limit and quasi-classical physics 22.4 Universal scaling relation 22.5 Summary References 23 Forming high-Tc superconductors by the topological FCQPT 23.1 Introduction 23.2 Fermion condensation as two component system 23.3 Superuid density in the presence of fermion condensation 23.4 Penetration depth, fermion condensation and Uemura’s law 23.5 Concluding remarks References 24 Conclusions References Index