Miron Amusia,
Vasily Shaginyan
Springer International Publishing
e druk, 2020
9783030503581
Strongly Correlated Fermi Systems
A New State of Matter
Specificaties
Gebonden, blz.
|
Engels
Springer International Publishing |
e druk, 2020
ISBN13: 9783030503581
Rubricering
Onderdeel van serie
Springer Tracts in Modern Physics
Levertijd ongeveer 8 werkdagen
Samenvatting
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.
Specificaties
ISBN13:9783030503581
Taal:Engels
Bindwijze:gebonden
Uitgever:Springer International Publishing
Inhoudsopgave
<p></p><p>1 Introduction </p>
<p>1.1 General considerations </p>
<p>1.2 Strong and weak interparticle interactions </p>
<p>1.3 Theoretical approaches to strongly correlated systems </p>
1.4 Quantum phase transitions and NFL behavior of HF compounds <p></p>
<p>1.5 Main goals of the book </p>
<p>References </p>
<p> </p>
<p>2 Landau Fermi liquid theory</p>
<p>2.1 Quasiparticle paradigm </p>
<p>2.2 Pomeranchuk stability conditions</p>
<p>2.3 Thermodynamic and transport properties</p>
<p>2.3.1 Equation for the effective mass </p>
References<p></p>
<p> </p>
<p>3 Density Functional Theory of Fermion Condensation </p>
<p>3.1 Introduction </p>
<p>3.2 Functional equation for the effective interaction</p>
<p>3.3 DFT and fermion condensation </p>
<p>3.4 DFT, the fermion condensation and superconductivity</p>
<p>3.5 Summary</p>
<p>References</p>
<p></p>
<p>4 Topological fermion condensation quantum phase transition</p>
<p>4.1 The fermion-condensation quantum phase transition</p>
<p>4.1.1 The FCQPT order parameter</p>
4.1.2 Quantum protectorate related to FCQPT<p></p>
<p>4.1.3 The influence of FCQPT at finite temperatures</p>
<p>4.1.4 Two Scenarios of the Quantum Critical Point </p>
<p>4.1.5 Phase diagram of Fermi system with FCQPT </p>
4.2 Topological phase transitions related to FCQPT <p></p>
<p>References </p>
<p> </p>
<p>5 Rearrangement of the single particle degrees of freedom </p>
<p>5.1 Introduction </p>
<p>5.2 Basic properties of systems with the FC </p>
<p>5.2.1 The case Tc < T < Tf0 </p>
<p>5.2.2 The case T < Tc. Superfluid systems with the FC </p>
<p>5.3 Validity of the quasiparticle pattern </p>
<p>5.3.1 Finite systems </p>
<p>5.3.2 Macroscopic systems </p>
<p>5.4 Interplay between fermion condensation and density-wave instability </p>
<p>5.5 Discussion </p>
References <p></p>
<p> </p>
<p>6 Topological FCQPT in strongly correlated Fermi systems </p>
<p>6.1 The superconducting state with FC at T = 0 </p>
<p>6.1.1 Green’s function of the superconducting state with FC at T = 0 </p>
<p>6.1.2 The superconducting state at finite temperatures </p>
<p>6.1.3 Bogolyubov quasiparticles</p>
<p>6.1.4 The dependence of superconducting phase transition temperature Tc on doping</p>
<p>6.1.5 The gap and heat capacity near Tc </p>
<p>6.2 The dispersion law and lineshape of single-particle excitations </p>
<p>6.3 Electron liquid with FC in magnetic fields </p>
<p>6.3.1 Phase diagram of electron liquid in magnetic field </p>
<p>6.3.2 Magnetic field dependence of the effective mass in HF metals and high-Tc superconductors </p>
<p>6.4 Appearance of FCQPT in HF compounds </p>
<p>References </p>
<p> </p>
<p>7 Effective mass and its scaling behavior </p>
7.1 Scaling behavior of the effective mass near the topological FCQPT<p></p>
<p>7.2 T/B scaling in heavy fermion compounds</p>
<p>References </p>
<p> </p>
<p>8 Quantum spin liquid in geometrically frustrated magnets and the new state of matter</p>
<p>8.1 Introduction </p>
<p>8.2 Fermion condensation </p>
<p>8.3 Scaling of the physical properties</p>
<p>8.4 The frustrated insulator Herbertsmithite ZnCu3(OH)6Cl2</p>
<p>8.4.1 Thermodynamic properties </p>
<p>References </p>
<p>9 One dimensional quantum spin liquid </p>
<p>9.1 Introduction </p>
<p>9.2 General considerations </p>
<p>9.3 Scaling of the thermodynamic properties </p>
<p>9.4 T − H phase diagram of 1D spin liquid </p>
<p>9.5 Discussion and summary</p>
<p>References </p>
<p> </p>
<p>10 Dynamic magnetic susceptibility of quantum spin liquid </p>
<p>10.1 Dynamic spin susceptibility of quantum spin liquids and HF metals </p>
<p>10.2 Theory of dynamic spin susceptibility of quantum spin liquid and heavy-fermion metals </p>
<p>10.3 Scaling behavior of the dynamic susceptibility </p>
<p>References </p>
<p> </p>
<p>11 Spin-lattice relaxation rate and optical conductivity of quantum spin liquid</p>
<p>11.1 Spin-lattice relaxation rate of quantum spin liquid</p>
<p>11.2 Optical conductivity</p>
<p>References </p>
<p>12 Quantum spin liquid in organic insulators and <sup>3</sup>He</p>
<p>12.1 The organic insulators EtMe<sup>3</sup>Sb[Pd(dmit)2]2 and κ − (BEDT − TTF)2Cu<sub>2</sub>(CN)<sup>3</sup> </p>
<p>12.2 Quantum spin liquid formed with 2D <sup>3</sup>He</p>
<p>12.3 Discussion</p>
<p>12.4 Outlook </p>
<p>References</p>
<p> </p>
<p>13 Universal behavior of the thermopower of HF compounds </p>
13.1 Introduction <p></p>
<p>13.2 Extended quasiparticle paradigm and the scaling behavior of HF metals </p>
<p>13.2.1 Topological properties of systems with fermion condensate </p>
<p>13.2.2 Scaling behavior of HF metals</p>
<p>13.2.3 Universal behavior of the thermopower ST of heavy-fermion metals</p>
<p>13.3 Schematic T − B phase diagram </p>
<p>13.4 Summary</p>
<p>References</p>
<p>14 Universal behavior of the heavy-fermion metal β − YbAlB4</p>
<p>14.1 Introduction</p>
<p>14.2 Universal scaling behavior </p>
<p>14.3 The Kadowaki-Woods ratio</p>
<p>14.4 The schematic phase diagrams of HF compounds</p>
<p>14.5 Summary</p>
<p>References</p>
<p> </p>
<p>15 The universal behavior of the archetypical heavy-fermion metals YbRh2Si2</p>
<p>15.1 Introduction</p>
<p>15.2 Scaling behavior of the effective mass</p>
<p>15.3 Non-Fermi liquid behavior in YbRh2Si2</p>
15.3.1 Heat capacity and the Sommerfeld coefficient<p></p>
<p>15.3.2 Average magnetization</p>
<p>15.3.3 Longitudinal magnetoresistance</p>
<p>15.3.4 Magnetic entropy</p>
<p>15.4 Summary</p>
<p>References</p>
<p>16 Heavy fermion compounds as the new state of matter</p>
<p>16.1 Introduction</p>
<p>16.2 General properties of heavy-fermion metals</p>
<p>16.3 Common field-induced quantum critical point </p>
<p>16.4 Summary</p>
<p>References</p>
<p> </p>
<p>17 Quasi-classical physics within quantum criticality in HF compounds </p>
<p>17.1 Second wind of the Dulong-Petit law at a quantum critical point </p>
<p>17.2 Transport properties related to the quasi-classical behavior </p>
<p>17.3 Quasi-classical physics and T-linear resistivity </p>
<p>References </p>
<p> </p>
<p>18 Asymmetric conductivity of strongly correlated compounds</p>
<p>18.1 Normal state </p>
<p>18.1.1 Suppression of the asymmetrical differential resistance in YbCu5−xAlx in magnetic fields</p>
<p>18.2 Superconducting state</p>
<p>18.3 Relation to the baryon asymmetry in the early Universe</p>
<p>18.4 Conclusion</p>
<p>References</p>
<p> </p>
<p>19 Asymmetric conductivity, pseudogap and violations of time and charge symmetries</p>
<p>19.1 Introduction</p>
<p>19.2 Asymmetric conductivity and the NFL behavior</p>
<p>19.3 Schematic phase diagram</p>
<p>19.4 Heavy fermion compounds and asymmetric conductivity</p>
<p>19.5 Conclusions</p>
<p>References</p>
<p>20 Violation of the Wiedemann-Franz law in Strongly Correlated Electron Systems</p>
<p>20.1 Introduction</p>
<p>20.2 Wiedemann-Franz law violations</p>
<p>20.3 Conclusion</p>
<p>References</p>
<p> </p>
<p>21 Quantum criticality of heavy-fermion compounds</p>
<p>21.1 Quantum criticality of high-temperature superconductors and HF metals</p>
<p>21.2 Quantum criticality of quasicrystals</p>
<p>21.3 Quantum criticality at metamagnetic phase transitions</p>
<p>21.3.1 Typical properties of the metamagnetic phase transition in Sr3Ru2O7 </p>
<p>21.3.2 Metamagnetic phase transition in HF metals</p>
<p>21.4 Universal Behavior of two-dimensional 3He at low temperatures</p>
<p>21.5 Scaling behavior of HF compounds and kinks in the thermodynamic functions</p>
<p>21.6 New state of matter</p>
<p>References</p>
<p> </p>
<p>22 Quantum criticality, T -linear resistivity and Planckian limit</p>
<p>22.1 Introduction</p>
<p>22.2 Phase diagram</p>
<p>22.3 Planckian limit and quasi-classical physics </p>
<p>22.4 Universal scaling relation</p>
<p>22.5 Summary</p>
<p>References </p>
<p> </p>
<p>23 Forming high-Tc superconductors by the topological FCQPT </p>
<p>23.1 Introduction </p>
<p>23.2 Fermion condensation as two component system </p>
<p>23.3 Superfluid density in the presence of fermion condensation </p>
<p>23.4 Penetration depth, fermion condensation and Uemura’s law </p>
<p>23.5 Concluding remarks </p>
<p>References </p>
<p> </p>
<p>24 Conclusions </p>
<p>References </p>
<p> </p>
<p>Index </p><br><p></p>
<p>1.1 General considerations </p>
<p>1.2 Strong and weak interparticle interactions </p>
<p>1.3 Theoretical approaches to strongly correlated systems </p>
1.4 Quantum phase transitions and NFL behavior of HF compounds <p></p>
<p>1.5 Main goals of the book </p>
<p>References </p>
<p> </p>
<p>2 Landau Fermi liquid theory</p>
<p>2.1 Quasiparticle paradigm </p>
<p>2.2 Pomeranchuk stability conditions</p>
<p>2.3 Thermodynamic and transport properties</p>
<p>2.3.1 Equation for the effective mass </p>
References<p></p>
<p> </p>
<p>3 Density Functional Theory of Fermion Condensation </p>
<p>3.1 Introduction </p>
<p>3.2 Functional equation for the effective interaction</p>
<p>3.3 DFT and fermion condensation </p>
<p>3.4 DFT, the fermion condensation and superconductivity</p>
<p>3.5 Summary</p>
<p>References</p>
<p></p>
<p>4 Topological fermion condensation quantum phase transition</p>
<p>4.1 The fermion-condensation quantum phase transition</p>
<p>4.1.1 The FCQPT order parameter</p>
4.1.2 Quantum protectorate related to FCQPT<p></p>
<p>4.1.3 The influence of FCQPT at finite temperatures</p>
<p>4.1.4 Two Scenarios of the Quantum Critical Point </p>
<p>4.1.5 Phase diagram of Fermi system with FCQPT </p>
4.2 Topological phase transitions related to FCQPT <p></p>
<p>References </p>
<p> </p>
<p>5 Rearrangement of the single particle degrees of freedom </p>
<p>5.1 Introduction </p>
<p>5.2 Basic properties of systems with the FC </p>
<p>5.2.1 The case Tc < T < Tf0 </p>
<p>5.2.2 The case T < Tc. Superfluid systems with the FC </p>
<p>5.3 Validity of the quasiparticle pattern </p>
<p>5.3.1 Finite systems </p>
<p>5.3.2 Macroscopic systems </p>
<p>5.4 Interplay between fermion condensation and density-wave instability </p>
<p>5.5 Discussion </p>
References <p></p>
<p> </p>
<p>6 Topological FCQPT in strongly correlated Fermi systems </p>
<p>6.1 The superconducting state with FC at T = 0 </p>
<p>6.1.1 Green’s function of the superconducting state with FC at T = 0 </p>
<p>6.1.2 The superconducting state at finite temperatures </p>
<p>6.1.3 Bogolyubov quasiparticles</p>
<p>6.1.4 The dependence of superconducting phase transition temperature Tc on doping</p>
<p>6.1.5 The gap and heat capacity near Tc </p>
<p>6.2 The dispersion law and lineshape of single-particle excitations </p>
<p>6.3 Electron liquid with FC in magnetic fields </p>
<p>6.3.1 Phase diagram of electron liquid in magnetic field </p>
<p>6.3.2 Magnetic field dependence of the effective mass in HF metals and high-Tc superconductors </p>
<p>6.4 Appearance of FCQPT in HF compounds </p>
<p>References </p>
<p> </p>
<p>7 Effective mass and its scaling behavior </p>
7.1 Scaling behavior of the effective mass near the topological FCQPT<p></p>
<p>7.2 T/B scaling in heavy fermion compounds</p>
<p>References </p>
<p> </p>
<p>8 Quantum spin liquid in geometrically frustrated magnets and the new state of matter</p>
<p>8.1 Introduction </p>
<p>8.2 Fermion condensation </p>
<p>8.3 Scaling of the physical properties</p>
<p>8.4 The frustrated insulator Herbertsmithite ZnCu3(OH)6Cl2</p>
<p>8.4.1 Thermodynamic properties </p>
<p>References </p>
<p>9 One dimensional quantum spin liquid </p>
<p>9.1 Introduction </p>
<p>9.2 General considerations </p>
<p>9.3 Scaling of the thermodynamic properties </p>
<p>9.4 T − H phase diagram of 1D spin liquid </p>
<p>9.5 Discussion and summary</p>
<p>References </p>
<p> </p>
<p>10 Dynamic magnetic susceptibility of quantum spin liquid </p>
<p>10.1 Dynamic spin susceptibility of quantum spin liquids and HF metals </p>
<p>10.2 Theory of dynamic spin susceptibility of quantum spin liquid and heavy-fermion metals </p>
<p>10.3 Scaling behavior of the dynamic susceptibility </p>
<p>References </p>
<p> </p>
<p>11 Spin-lattice relaxation rate and optical conductivity of quantum spin liquid</p>
<p>11.1 Spin-lattice relaxation rate of quantum spin liquid</p>
<p>11.2 Optical conductivity</p>
<p>References </p>
<p>12 Quantum spin liquid in organic insulators and <sup>3</sup>He</p>
<p>12.1 The organic insulators EtMe<sup>3</sup>Sb[Pd(dmit)2]2 and κ − (BEDT − TTF)2Cu<sub>2</sub>(CN)<sup>3</sup> </p>
<p>12.2 Quantum spin liquid formed with 2D <sup>3</sup>He</p>
<p>12.3 Discussion</p>
<p>12.4 Outlook </p>
<p>References</p>
<p> </p>
<p>13 Universal behavior of the thermopower of HF compounds </p>
13.1 Introduction <p></p>
<p>13.2 Extended quasiparticle paradigm and the scaling behavior of HF metals </p>
<p>13.2.1 Topological properties of systems with fermion condensate </p>
<p>13.2.2 Scaling behavior of HF metals</p>
<p>13.2.3 Universal behavior of the thermopower ST of heavy-fermion metals</p>
<p>13.3 Schematic T − B phase diagram </p>
<p>13.4 Summary</p>
<p>References</p>
<p>14 Universal behavior of the heavy-fermion metal β − YbAlB4</p>
<p>14.1 Introduction</p>
<p>14.2 Universal scaling behavior </p>
<p>14.3 The Kadowaki-Woods ratio</p>
<p>14.4 The schematic phase diagrams of HF compounds</p>
<p>14.5 Summary</p>
<p>References</p>
<p> </p>
<p>15 The universal behavior of the archetypical heavy-fermion metals YbRh2Si2</p>
<p>15.1 Introduction</p>
<p>15.2 Scaling behavior of the effective mass</p>
<p>15.3 Non-Fermi liquid behavior in YbRh2Si2</p>
15.3.1 Heat capacity and the Sommerfeld coefficient<p></p>
<p>15.3.2 Average magnetization</p>
<p>15.3.3 Longitudinal magnetoresistance</p>
<p>15.3.4 Magnetic entropy</p>
<p>15.4 Summary</p>
<p>References</p>
<p>16 Heavy fermion compounds as the new state of matter</p>
<p>16.1 Introduction</p>
<p>16.2 General properties of heavy-fermion metals</p>
<p>16.3 Common field-induced quantum critical point </p>
<p>16.4 Summary</p>
<p>References</p>
<p> </p>
<p>17 Quasi-classical physics within quantum criticality in HF compounds </p>
<p>17.1 Second wind of the Dulong-Petit law at a quantum critical point </p>
<p>17.2 Transport properties related to the quasi-classical behavior </p>
<p>17.3 Quasi-classical physics and T-linear resistivity </p>
<p>References </p>
<p> </p>
<p>18 Asymmetric conductivity of strongly correlated compounds</p>
<p>18.1 Normal state </p>
<p>18.1.1 Suppression of the asymmetrical differential resistance in YbCu5−xAlx in magnetic fields</p>
<p>18.2 Superconducting state</p>
<p>18.3 Relation to the baryon asymmetry in the early Universe</p>
<p>18.4 Conclusion</p>
<p>References</p>
<p> </p>
<p>19 Asymmetric conductivity, pseudogap and violations of time and charge symmetries</p>
<p>19.1 Introduction</p>
<p>19.2 Asymmetric conductivity and the NFL behavior</p>
<p>19.3 Schematic phase diagram</p>
<p>19.4 Heavy fermion compounds and asymmetric conductivity</p>
<p>19.5 Conclusions</p>
<p>References</p>
<p>20 Violation of the Wiedemann-Franz law in Strongly Correlated Electron Systems</p>
<p>20.1 Introduction</p>
<p>20.2 Wiedemann-Franz law violations</p>
<p>20.3 Conclusion</p>
<p>References</p>
<p> </p>
<p>21 Quantum criticality of heavy-fermion compounds</p>
<p>21.1 Quantum criticality of high-temperature superconductors and HF metals</p>
<p>21.2 Quantum criticality of quasicrystals</p>
<p>21.3 Quantum criticality at metamagnetic phase transitions</p>
<p>21.3.1 Typical properties of the metamagnetic phase transition in Sr3Ru2O7 </p>
<p>21.3.2 Metamagnetic phase transition in HF metals</p>
<p>21.4 Universal Behavior of two-dimensional 3He at low temperatures</p>
<p>21.5 Scaling behavior of HF compounds and kinks in the thermodynamic functions</p>
<p>21.6 New state of matter</p>
<p>References</p>
<p> </p>
<p>22 Quantum criticality, T -linear resistivity and Planckian limit</p>
<p>22.1 Introduction</p>
<p>22.2 Phase diagram</p>
<p>22.3 Planckian limit and quasi-classical physics </p>
<p>22.4 Universal scaling relation</p>
<p>22.5 Summary</p>
<p>References </p>
<p> </p>
<p>23 Forming high-Tc superconductors by the topological FCQPT </p>
<p>23.1 Introduction </p>
<p>23.2 Fermion condensation as two component system </p>
<p>23.3 Superfluid density in the presence of fermion condensation </p>
<p>23.4 Penetration depth, fermion condensation and Uemura’s law </p>
<p>23.5 Concluding remarks </p>
<p>References </p>
<p> </p>
<p>24 Conclusions </p>
<p>References </p>
<p> </p>
<p>Index </p><br><p></p>