Fermi-liquid instabilities at magnetic quantum phase transitions

Authors:
  • HLHilbert V. Löhneysen
    Hilbert V. Löhneysen
  • ARAchim Rosch
    Achim Rosch
  • MVMatthias Vojta
    Matthias Vojta
  • PWPeter Wölfle
    Peter Wölfle
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Abstract
This review discusses instabilities of the Fermi-liquid state of conduction electrons in metals with particular emphasis on magnetic quantum critical points. Both the existing theoretical concepts and experimental data on selected materials are presented; with the aim of assessing the validity of presently available theory. After briefly recalling the fundamentals of Fermi-liquid theory, the local Fermi-liquid state in quantum impurity models and their lattice versions is described. Next, the scaling concepts applicable to quantum phase transitions are presented. The Hertz-Millis-Moriya theory of quantum phase transitions is described in detail. The breakdown of the latter is analyzed in several examples. In the final part experimental data on heavy-fermion materials and transition-metal alloys are reviewed and confronted with existing theory.