Frustration and the Kondo effect in heavy fermion materials

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 $f$-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-$N$ expansion. The paper closes with some brief remarks on promising future theoretical directions.

To appear in a special issue of JLTP

References in corpus (16)

• Quantum Criticality in Heavy Fermion Metals
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Fractionalized Fermi liquids
• Critical fermi surfaces and non-fermi liquid metals
• Kondo Breakdown as a Selective Mott Transition in the Anderson Lattice
• Heavy electrons and the symplectic symmetry of spin
• Supplementary material to Heavy electrons and the symplectic symmetry of spin
• Magnetic structure of Cd-doped CeCoIn5
• Yb${}_2$Pt${}_2$Pb: Magnetic frustration in the Shastry-Sutherland lattice
• Selective Mott transition and heavy fermions
• Schwinger Boson approach to the fully screened Kondo model
• Variational treatment of the Shastry-Sutherland antiferromagnet using Projected Entangled Pair States (PEPS)
• Field-induced non-Fermi-liquid resistivity of stoichiometric YbAgGe single crystals
• Phase transitions in the Shastry-Sutherland lattice
• Electronic properties of disordered valence-bond stripes in cuprate superconductors
• Fermi liquid identities for the Infinite U Anderson Model

Cited by in corpus (2)

• Fermi surface topology of the two-dimensional Kondo lattice model: a dynamical cluster approximation approach
• Orbital-selective Mott transition and heavy fermion behavior in a bilayer Hubbard model for 3He