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 influence of FCQPT at finite 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 finite 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 fields
6.3.1 Phase diagram of electron liquid in magnetic field
6.3.2 Magnetic field 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
About the Author:
Miron Y. Amusia graduated from Leningrad State University. He is currently a Professor Emeritus of the Hebrew University Jerusalem, Israel, and Principal Scientist at the Ioffe Institute, St. Petersburg, Russia. He holds Ph.D. and Doctor of Science degrees in Theoretical Physics. He has authored or co-authored 17 books and more than 530 refereed publications. He is an APS Fellow, recipient of the Alexander von Humboldt Prize, the Frenkel and Konstantinov Prizes and, medals from the Ioffe Institute, Ioffe Prize of Russian Academy of Sciences, the Semenov medal of the Russian Engineering Academy, and the Kapitza Medal of the Russian Academy of Natural Sciences. He is also an Academician of the same academy, and was a foreign fellow of the Argonne National Laboratory from 1991 to 1992. His main scientific interests and achievements concern many-body theory of atoms, stability of electron gas, fermion condensation, and collisions of fullerenes and clusters. His best-known findings include the discovery of the collective nature of atomic photoionization, prediction of the collectivization of few-electron shells under the action of many-electron neighboring shells, suggesting a new mechanism of Bremsstrahlung and the prediction of giant endohedral resonances.
Vasily R. Shaginyan received his Ph.D. in Theoretical Physics in 1981 and his Doctor of Science degree in 1990 from Leningrad (Petersburg) Nuclear Physics Institute, and is currently a leading research fellow at this Institute. His fields of interest include theoretical nuclear physics, condensed matter physics, strongly correlated Fermi systems and HF compounds, quantum spin liquids, quasicrystals, high-Tc superconductors, and quasi-classical behavior of HF compounds. He is author and co-author of 160 papers, including seminal papers on the fermion condensation phase transition and flat bands, heavy fermion metals, quantum spin liquids, and quasicrystals.
