Frustration and the Kondo effect in heavy fermion materials
arXiv:1007.1723 · doi:10.1007/s10909-010-0213-4
Abstract
The observation of a separation between the antiferromagnetic phase boundary and the small-large Fermi surface transition in recent experiments has led to the proposal that frustration is an important additional tuning parameter in the Kondo lattice model of heavy fermion materials. The introduction of a Kondo (K) and a frustration (Q) axis into the phase diagram permits us to discuss the physics of heavy fermion materials in a broader perspective. The current experimental situation is analysed in the context of this combined "QK" phase diagram. We discuss various theoretical models for the frustrated Kondo lattice, using general arguments to characterize the nature of the -electron localization transition that occurs between the spin liquid and heavy Fermi liquid ground-states. We concentrate in particular on the Shastry--Sutherland Kondo lattice model, for which we establish the qualitative phase diagram using strong coupling arguments and the large- expansion. The paper closes with some brief remarks on promising future theoretical directions.
To appear in a special issue of JLTP
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- The magnitude of the magnetic exchange interaction in the heavy fermion antiferromagnet CeRhIn
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- Magnetic property and crystalline electric field effect in ThCrSi-type CeNiAs
- Heavy antiferromagnetic phases in Kondo lattices
- Ordered Phases and Quantum Criticality in Cubic Heavy Fermion Compounds
- Orbital-selective Mott transition and heavy fermion behavior in a bilayer Hubbard model for 3He
- Magnetization study of the energy scales in YbRhSi under chemical pressure
- Ring-exchange periodic Anderson model for 3He bilayers