This book focuses on the topological fermion condensation quantum phase transition (FCQPT), a phenomenon that reveals the complex behavior of all strongly correlated Fermi systems, such as heavy fermion metals, quantum spin liquids, quasicrystals, and two-dimensional systems, considering these as a new state of matter. The book combines theoretical evaluations with arguments based on experimental grounds demonstrating that the entirety of very different strongly correlated Fermi systems demonstrates a universal behavior induced by FCQPT. In contrast to the conventional quantum phase transition, whose physics in the quantum critical region are dominated by thermal or quantum fluctuations and characterized by the absence of quasiparticles, the physics of a Fermi system near FCQPT are controlled by a system of quasiparticles resembling the Landau quasiparticles. The book discusses the modification of strongly correlated systems under the action of FCQPT, representing the "missing"instability, which paves the way for developing an entirely new approach to condensed matter theory; and presents this physics as a new method for studying many-body objects. Based on the authors' own theoretical investigations, as well as salient theoretical and experimental studies conducted by others, the book is well suited for both students and researchers in the field of condensed matter physics.
Autorentext
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.
Inhalt
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 compounds1.5 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 FCQPT4.1.3 The in uence 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 FCQPTReferences
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 < T < Tf0
5.2.2 The case T < Tc. Super uid systems with the FC
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 FCQPT7.2 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 Introduction13.2 Extended quasiparticle paradigm and the scaling behavior of HF metals
13.2.1 Topological properties of systems with fermion condensate
13.2.2 …