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The observation of a separation between the antiferromagnetic phase boundaryand the small-large Fermi surface transition in recent experiments has led tothe proposal that frustration is an important additional tuning parameter inthe 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 thephysics of heavy fermion materials in a broader perspective. The currentexperimental situation is analysed in the context of this combined "QK" phasediagram. We discuss various theoretical models for the frustrated Kondolattice, using general arguments to characterize the nature of the $f$-electronlocalization transition that occurs between the spin liquid and heavy Fermiliquid ground-states. We concentrate in particular on the Shastry--SutherlandKondo lattice model, for which we establish the qualitative phase diagram usingstrong coupling arguments and the large-$N$ expansion. The paper closes withsome brief remarks on promising future theoretical directions.

Frustration and the Kondo effect in heavy fermion materials