Fermi liquid behaviour in weakly disordered metals close to a quantum critical point

E-ISSN： 1286-4854|112|6|67001-67001

ISSN： 0295-5075

Source： EPL (EUROPHYSICS LETTERS), Vol.112, Iss.6, 2015-12, pp. : 67001-67001

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Abstract

We calculate analytically the low-temperature quasi-particle scattering rate, the conductivity, and the specific heat in weakly disordered metals close to a quantum critical point, via the use of a proper fluctuation potential $V(q,\omega)$ between the quasi-particles. We obtain typical Fermi liquid results proportional to T² and T, respectively, with prefactors which diverge as power laws of the control parameter a upon approaching the critical point. The Kadowaki-Woods ratio is shown to be independent of a (possibly times a logarithmic dependence on a) only for the case of three-dimensional ferromagnetic fluctuations. Our results are consistent with experiments on the eight materials CeCoIn₅, Sr₃Ru₂O₇, YbRh₂Si₂, La_2−xCe_xCuO₄, Tl₂Ba₂CuO_6+x, CeAuSb₂, YbAlB₄, and CeRuSi₂.