Strongly correlated Fermi systems : a new state of matter
著者
書誌事項
Strongly correlated Fermi systems : a new state of matter
（Springer tracts in modern physics : Ergebnisse der exakten Naturwissenschaften / editor, G. Höhler, 283）
Springer, c2020
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注記
Includes bibliographical references and index
内容説明・目次
内容説明
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.
目次
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 < T < Tf0
5.2.2 The case T < Tc. Superfluid 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 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 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 coefficient
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 field-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 fields
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 Superfluid 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
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