Book contents
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Non-interacting electron gas
- 3 Born–Oppenheimer approximation
- 4 Second quantization
- 5 Hartree–Fock approximation
- 6 Interacting electron gas
- 7 Local magnetic moments in metals
- 8 Quenching of local moments: the Kondo problem
- 9 Screening and plasmons
- 10 Bosonization
- 11 Electron–lattice interactions
- 12 Superconductivity in metals
- 13 Disorder: localization and exceptions
- 14 Quantum phase transitions
- 15 Quantum Hall and other topological states
- 16 Electrons at strong coupling: Mottness
- Index
- References
8 - Quenching of local moments: the Kondo problem
Published online by Cambridge University Press: 05 June 2012
- Frontmatter
- Contents
- Preface
- 1 Introduction
- 2 Non-interacting electron gas
- 3 Born–Oppenheimer approximation
- 4 Second quantization
- 5 Hartree–Fock approximation
- 6 Interacting electron gas
- 7 Local magnetic moments in metals
- 8 Quenching of local moments: the Kondo problem
- 9 Screening and plasmons
- 10 Bosonization
- 11 Electron–lattice interactions
- 12 Superconductivity in metals
- 13 Disorder: localization and exceptions
- 14 Quantum phase transitions
- 15 Quantum Hall and other topological states
- 16 Electrons at strong coupling: Mottness
- Index
- References
Summary
In the previous chapter we developed a mean-field criterion for local magnetic moment formation in a metal. As mean-field theory is valid typically at high temperatures, we anticipate that at low temperatures, significant departures from this treatment occur. The questions we focus on in this chapter are: (1) how does the presence of local magnetic moments affect the low-temperature transport and magnetic properties of the host metal, and (2) what is the fate of local magnetic moments at low temperatures in a metal? These questions are of extreme experimental importance because it has been known since the early 1930s that the resistivity of a host metal such as Cu with trace amounts of magnetic impurities, typically Fe, reaches a minimum and then increases as – ln T as the temperature subsequently decreases.
- Type
- Chapter
- Information
- Advanced Solid State Physics , pp. 80 - 114Publisher: Cambridge University PressPrint publication year: 2012