Non Fermi Liquid behavior in the under-screened Kondo model

Abstract

Using the Schwinger boson spin representation, we reveal a new aspect to the physics of a partially screened magnetic moment in a metal, as described by the spin $S$ Kondo model. We show that the residual ferromagnetic interaction between a partially screened spin and the electron sea destabilizes the Landau Fermi liquid, forming a singular Fermi liquid with a $1/(T{\ln }^4(T_K/T))$ divergence in the low temperature specific heat coefficient $C_V/T$. A magnetic field $B$ tunes this system back into Landau Fermi liquid with a Fermi temperature proportional to $B{\ln }^2(T_K/B)$. We discuss a possible link with field-tuned quantum criticality in heavy electron materials.

References corrected. Minor changes to text

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• The break up of heavy electrons at a quantum critical point
• Onset of antiferromagnetism in heavy fermion metals
• Magnetic-Field Induced Quantum Critical Point in YbRh${}_2$Si${}_2$
• Singular Fermi Liquids
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