Heavy-Fermion Systems


  • Prasanta Misra, B.Sc (Hons) and M.Sc, in Physics (Utkal University, Bhubaneswar, India), Ph.D. in Physics (Tufts University, Medford, U.S.A.), Post-Doctoral Research in Solid State Physics (University of Texas, Austin, U.S.A.), University of Houston, Department of Physics, TX, USA

The book on Heavy-Fermion Systems is a part of the Book series "Handbook of Metal Physics", each volume of which is written to facilitate the research of Ph.D. students, faculty and other researchers in a specific area. The Heavy-Fermions (sometimes known as Heavy-Electrons) is a loosely defined collection of intermetallic compounds containing rare-earth (mostly Ce) or actinide (mostly U) elements. These unusual names were given due to the large effective mass (100-1,000 times greater than the mass of a free electron) below a critical temperature. They have a variety of ground states including superconducting, antiferromagnetic, paramagnetic or semiconducting. Some display unusual magnetic properties such as magnetic quantum critical point and metamagnetism. This book is essentially a summary as well as a critical review of the theoretical and experimental work done on Heavy Fermions.
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Lecturers and researchers, Chemists, Physicists and Materials Scientists.


Book information

  • Published: November 2007
  • Imprint: ELSEVIER
  • ISBN: 978-0-444-51503-2

Table of Contents

PrefaceChapter 1. Overview of Heavy-Fermion SystemsChapter 2. Kondo Lattice, Mixed Valence and Heavy-Fermions2.1. Periodic Anderson and Kondo-lattice Models2.2. Early Theoretical Approaches 2.3. Cluster Calculations Chapter 3. Dynamical, Extended Dynamical, and Cluster Dynamical Mean-Field Theories: (DMFT, EDMFT and Cluster DMFT)3.1 The Local Impurity Self-Consistent Approximation (LISA)3.2 Brief Discussions of the Dynamical Mean-Field Equations3.2.1 The Cavity Method3.2.2 Perturbation Theory in infinite dimensions3.3 Methods of solution3.4 Application of LISA to Periodic Anderson Model3.5 Kondo Insulators3.6 The multichannel Kondo Lattice3.7 RKKY interaction3.8 Extended Dynamical Mean Field Theory (EDMFT):3.8 (a) Overview3.8 (b) Application to Kondo Lattice Model3.8(c) Application to Periodic Anderson Model3.8(d) Two-impurity Cluster Dynamical Mean Field Theory3.9 Quantum Cluster theoriesChapter 4. Fermi Liquid, Heavy-Fermi Liquid and Non-Fermi Liquid Models4.1 Fermi-liquid Theory of Landau4.2 Fermi-liquid Model for Kondo lattice systems4.3 Heavy Fermi Liquids4.4 Non-Fermi-liquid behavior in f-electron metals4.5 The Quadrupolar Kondo Model4.6 Quantum Critical Point Theories4.7 Weak-Coupling Theories4.8 Strong Coupling Theories4.8(a) Fractionalized Fermi Liquids4.8(b) Local Quantum Criticality in Heavy Fermion Metals 4.8(c) The Underscreened Kondo ModelChapter 5. Metamagnetism in Heavy-Fermions (Experimental Review)5.1 Introduction5.2 CeRu2Si25.3 Sr3Ru2O75.4 CeCu6-xAux5.5 UPt35.6 UPd2Al35.7 URu2Si25.8 CePd2Si25.9 YbRh2Si2 5.10 CeIr3Si2Chapter 6. Theory of Metamagnetism in Heavy Fermions6.1 Review of Theoretical Models6.2 Strong-Coupling Spin Fluctuation Theory in the High-Field State6.3 Metamagnetic transition in a small cluster t-J model6.4 Competitition between Local Quantum Spin fluctuations and Magnetic Exchange Interaction6.5 Itinerant Electrons and Local Moments in High and Low Magnetic Fields6.5(a) The model6.5(b) High-field ferromagnetic case6.5(c) Low-field paramagnetic susceptibility6.5(d) Results and DiscussionChapter 7. Heavy-Fermion Superconductors (Ce-based Compounds)7.1 Overview7.2 CeCu2Si27.3 CeCu2Ge27.4 CePd2Si27.5 CePd2Ge27.6 CeRh2Si27.7 CeNi2Ge27.8 CeIn37.9 CePt3Si7.10 CeCoIn57.11 CeRhIn57.12 CeIrIn57.13 CeNiGe37.14 Ce2Ni3Ge57.15 Summary and Conclusion Chapter 8. U-based Superconducting Compounds8.1 Overview8.2 UBe138.3 UPt38.4 URu2Si2 8.5 UPd2Al38.6 UNi2Al38.7 UGe28.8 URhGe8.9 UIrChapter 9. Filled Skutterdites and Trans-Uranium Superconductors9.1 Filled Skutterdites9.2 PrOs4Sb129.3 PuCoGa59.4 PuRhGa59.5 Similarities between Cu and Pu high-Tc SuperconductorsChapter 10. Brief Review of Theories of Heavy-Fermion Superconductivity10.1 Introduction10.2 BCS Theory of Anisotropic Superconductivity10.3 Symmetry Clarifications and generalized Ginzburg-Landau Theory10.4 Density of States of Quasiparticles10.5 Collective Modes10.6 Coexistence of Antiferromagnetism and Superconductivity 10.7 Influence of Antiferromagnetic Fluctuations in Superconductivity10.8 Fulde-Ferrell-Larkin-Ovchinnikov Superconducting State10.9 Magneticically Mediated Superconductivity 10.10 Superconductivity due to Valence Fluctuations10.11 Magnetic-exciton-mediated Superconductivity10.12 Quadrupolar Exciton Exchange10.13 SummaryChapter 11 Kondo Insulators 11.1 Introduction11.2 Ce3Bi4Pt311.3 CeRhAs11.4 CeRhSb11.5 CeNiSn11.6 CeRu4Sn611.7 U2Ru2Sn11.8 CeFe4P12 and CeRu4P1211.9 CeOs4Sb1211.10 UFe4P1211.11 TmSe11.12 U2Ru2Sn11.13 YbB1211.14 SmB611.15 SmS11.16 Theory of Kondo Insulators (A) The Anderson Lattice Model(B) Spin Excitons(C) Conclusion