Apparent Violation of the Wiedemann-Franz law near a magnetic field tuned metal-antiferromagnetic quantum critical point

Abstract

The temperature dependence of the interlayer electrical and thermal resistivity in a layered metal are calculated for Fermi liquid quasiparticles which are scattered inelastically by two-dimensional antiferromagnetic spin fluctuations. Both resistivities have a linear temperature dependence over a broad temperature range. Extrapolations to zero temperature made from this linear-$T$ range give values that appear to violate the Wiedemann-Franz law. However, below a low-temperature scale, which becomes small close to the critical point, a recovery of this law occurs. Our results describe recent measurements on CeCoIn${}_5$ near a magnetic field-induced quantum phase transition. Hence, the experiments do not necessarily imply a non-Fermi liquid ground state.

arXiv comment4 pages, 2 figures; accepted to Phys. Rev. Lett

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• Anomalous reduction of the Lorenz ratio at the quantum critical point in YbAgGe
• Evidence for a Kondo destroying quantum critical point in YbRh2Si2
• Low quasiparticle coherence temperature in the one band-Hubbard model: A slave-boson approach
• Signature of Kondo breakdown quantum criticality in optical conductivity