https://doi.org/10.1140/epjst/e2015-02449-0
Review
Critical quasiparticles in single-impurity and lattice Kondo models
1 Institut für Theoretische Physik, Technische Universität Dresden, 01062 Dresden, Germany
2 Institut für Theoretische Physik, Universität zu Köln, Zülpicher Straße 77, 50937 Köln, Germany
3 Institut für Theorie der Kondensierten Materie, Karlsruher Institut für Technologie, 76049 Karlsruhe, Germany
Received: 4 December 2014
Revised: 15 May 2015
Published online: 22 July 2015
Quantum criticality in systems of local moments interacting with itinerant electrons has become an important and diverse field of research. Here we review recent results which concern (a) quantum phase transitions in single-impurity Kondo and Anderson models and (b) quantum phase transitions in heavy-fermion lattice models which involve critical quasiparticles. For (a) the focus will be on impurity models with a pseudogapped host density of states and their applications, e.g., in graphene and other Dirac materials, while (b) is devoted to strong-coupling behavior near antiferromagnetic quantum phase transitions, with potential applications in a variety of heavy-fermion metals.
© EDP Sciences, Springer-Verlag, 2015