Fermi surface and antiferromagnetism in the Kondo lattice: an asymptotically exact solution in d>1 Dimensions

Abstract

Interest in the heavy fermion metals has motivated us to examine the quantum phases and their Fermi surfaces within the Kondo lattice model. We demonstrate that the model is soluble asymptotically exactly in any dimension d>1, when the Kondo coupling is small compared with the RKKY interaction and in the presence of antiferromagnetic ordering. We show that the Kondo coupling is exactly marginal in the renormalization group sense, establishing the stability of an ordered phase with a small Fermi surface, AFs. Our results have implications for the global phase diagram of the heavy fermion metals, suggesting a Lifshitz transition inside the antiferromagnetic region and providing a new perspective for a Kondo-destroying antiferromagnetic quantum critical point.

arXiv comment4 pages, 4 figures; (v2) corrected typos and added reference/acknowledgment; (v3) version as published in Physical Review Letters (July, 2007)

References in corpus (9)

• Renormalization Group Approach to Interacting Fermions
• Locally critical quantum phase transitions in strongly correlated metals
• How do Fermi liquids get heavy and die?
• Weak magnetism and non-Fermi liquids near heavy-fermion critical points
• Hall-effect evolution across a heavy-fermion quantum critical point
• Local fluctuations in quantum critical metals
• Crossover and scaling in a nearly antiferromagnetic Fermi liquid in two dimensions
• Renormalization Group Approach to Strong-Coupled Superconductors
• Scaling approach to itinerant quantum critical points

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