Theory of Heavy-Fermion Compounds

1. Front Matter

   Pages i-xxii

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2. Introduction

   • Miron Ya. Amusia, Konstantin G. Popov, Vasily R. Shaginyan, Vladimir A. Stephanovich

   Pages 1-20

3. Landau Fermi Liquid Theory and Beyond

   • Miron Ya. Amusia, Konstantin G. Popov, Vasily R. Shaginyan, Vladimir A. Stephanovich

   Pages 21-29

4. Fermi Liquid with Fermion Condensate

   • Miron Ya. Amusia, Konstantin G. Popov, Vasily R. Shaginyan, Vladimir A. Stephanovich

   Pages 31-50

5. The Topological Phase Transitions Related to Fermion Condensate

   • Miron Ya. Amusia, Konstantin G. Popov, Vasily R. Shaginyan, Vladimir A. Stephanovich

   Pages 51-60

6. Appearance of Fermion-Condensation Quantum Phase Transition in Fermi Systems

   • Miron Ya. Amusia, Konstantin G. Popov, Vasily R. Shaginyan, Vladimir A. Stephanovich

   Pages 61-86

7. Highly Correlated Fermi Liquid in Heavy-Fermion Metals: The Scaling Behavior

   • Miron Ya. Amusia, Konstantin G. Popov, Vasily R. Shaginyan, Vladimir A. Stephanovich

   Pages 87-110

8. Highly Correlated Fermi Liquid in Heavy-Fermion Metals: Magnetic Properties

   • Miron Ya. Amusia, Konstantin G. Popov, Vasily R. Shaginyan, Vladimir A. Stephanovich

   Pages 111-138

9. Metals with a Strongly Correlated Electron Liquid

   • Miron Ya. Amusia, Konstantin G. Popov, Vasily R. Shaginyan, Vladimir A. Stephanovich

   Pages 139-154

10. Quasi-classical Physics Within Quantum Criticality in HF Compounds

    • Miron Ya. Amusia, Konstantin G. Popov, Vasily R. Shaginyan, Vladimir A. Stephanovich

    Pages 155-178

11. Magnetoresistance in the HF Metal at Zero Temperature

    • Miron Ya. Amusia, Konstantin G. Popov, Vasily R. Shaginyan, Vladimir A. Stephanovich

    Pages 179-198

12. Zero Temperature Magnetoresistance of the HF Metal: Enigma of \(\mathrm{Sr}_{3}\mathrm{Ru}_{2}\mathrm{O}_{7}\)

    • Miron Ya. Amusia, Konstantin G. Popov, Vasily R. Shaginyan, Vladimir A. Stephanovich

    Pages 199-214

13. Fermion Condensation in Finite Systems

    • Miron Ya. Amusia, Konstantin G. Popov, Vasily R. Shaginyan, Vladimir A. Stephanovich

    Pages 215-233

14. Asymmetric Conductivity of Strongly Correlated Compounds

    • Miron Ya. Amusia, Konstantin G. Popov, Vasily R. Shaginyan, Vladimir A. Stephanovich

    Pages 235-249

15. Violation of the Wiedemann-Franz Law in HF Metals

    • Miron Ya. Amusia, Konstantin G. Popov, Vasily R. Shaginyan, Vladimir A. Stephanovich

    Pages 251-260

16. High Magnetic Fields Thermodynamics of Heavy Fermion Metals

    • Miron Ya. Amusia, Konstantin G. Popov, Vasily R. Shaginyan, Vladimir A. Stephanovich

    Pages 261-272

17. Baryon Asymmetry Resulting from FCQPT in the Early Universe

    • Miron Ya. Amusia, Konstantin G. Popov, Vasily R. Shaginyan, Vladimir A. Stephanovich

    Pages 273-283

18. Quantum Criticality of Spin Liquids in Novel Insulators and Magnets

    • Miron Ya. Amusia, Konstantin G. Popov, Vasily R. Shaginyan, Vladimir A. Stephanovich

    Pages 285-316

19. Quantum Criticality of Heavy-Fermion Compounds

    • Miron Ya. Amusia, Konstantin G. Popov, Vasily R. Shaginyan, Vladimir A. Stephanovich

    Pages 317-344

20. Conclusions

    • Miron Ya. Amusia, Konstantin G. Popov, Vasily R. Shaginyan, Vladimir A. Stephanovich

    Pages 345-349

This book explains modern and interesting physics in heavy-fermion (HF) compounds to graduate students and researchers in condensed matter physics. It presents a theory of heavy-fermion (HF) compounds such as HF metals, quantum spin liquids, quasicrystals and two-dimensional Fermi systems. The basic low-temperature properties and the scaling behavior of the compounds are described within the framework of the theory of fermion condensation quantum phase transition (FCQPT). Upon reading the book, the reader finds that HF compounds with quite different microscopic nature exhibit the same non-Fermi liquid behavior, while the data collected on very different HF systems have a universal scaling behavior, and these compounds are unexpectedly uniform despite their diversity. For the reader's convenience, the analysis of compounds is carried out in the context of salient experimental results. The numerous calculations of the non-Fermi liquid behavior, thermodynamic, relaxation and transport properties, being in good agreement with experimental facts, offer the reader solid grounds to learn the theory's applications. Finally, the reader will learn that FCQPT develops unexpectedly simple, yet completely good description of HF compounds.

• FCQPT Explained
• Fermion Condensation Quantum Phase Transition
• HF Compounds
• Heavy-fermion Compounds
• Low-temperature Thermodynamics
• Non-Fermi Liquid Behavior
• Quantum Criticality
• Quantum Phase Transitions
• Strongly Correlated Electron Liquid
• Superconducting State Fermion Condensate
• Topological Phase Transitions

• Racah Institute of Physics, The Hebrew University, Jerusalem, Israel

  Miron Ya. Amusia

• Ural Division Komi Science Center, Russian Academy of Sciences, Syktyvkar, Russia

  Konstantin G. Popov

• Petersburg Nuclear Physics Institute, Gatchina, Russia

  Vasily R. Shaginyan

• Institute of Physics, Opole University, Opole, Poland

  Vladimir A. Stephanovich

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