Theory of Heavy-Fermion Compounds: Theory of Strongly Correlated Fermi-Systems (Springer Series in Solid-State Sciences Book 182)

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. Front Matter....Pages i-xxii Introduction....Pages 1-20 Landau Fermi Liquid Theory and Beyond....Pages 21-29 Fermi Liquid with Fermion Condensate....Pages 31-50 The Topological Phase Transitions Related to Fermion Condensate....Pages 51-60 Appearance of Fermion-Condensation Quantum Phase Transition in Fermi Systems....Pages 61-86 Highly Correlated Fermi Liquid in Heavy-Fermion Metals: The Scaling Behavior....Pages 87-110 Highly Correlated Fermi Liquid in Heavy-Fermion Metals: Magnetic Properties....Pages 111-138 Metals with a Strongly Correlated Electron Liquid....Pages 139-154 Quasi-classical Physics Within Quantum Criticality in HF Compounds....Pages 155-178 Magnetoresistance in the HF Metal at Zero Temperature....Pages 179-198 Zero Temperature Magnetoresistance of the HF Metal: Enigma of $$\mathrm{Sr}_{3}\mathrm{Ru}_{2}\mathrm{O}_{7}$$ Sr 3 Ru 2 O 7 ....Pages 199-214 Fermion Condensation in Finite Systems....Pages 215-233 Asymmetric Conductivity of Strongly Correlated Compounds....Pages 235-249 Violation of the Wiedemann-Franz Law in HF Metals....Pages 251-260 High Magnetic Fields Thermodynamics of Heavy Fermion Metals....Pages 261-272 Baryon Asymmetry Resulting from FCQPT in the Early Universe....Pages 273-283 Quantum Criticality of Spin Liquids in Novel Insulators and Magnets....Pages 285-316 Quantum Criticality of Heavy-Fermion Compounds....Pages 317-344 Conclusions....Pages 345-349 Back Matter....Pages 351-359