Fermi liquid behaviour in weakly disordered metals close to a quantum critical point
Institute of Electronic Structure and Laser (IESL), Foundation for Research and Technology - Hellas (FORTH) P.O. Box 1527, Iraklio, Crete 71110, Greece
Received: 6 November 2015
Accepted: 15 December 2015
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 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, La2−xCexCuO4, Tl2Ba2CuO6+x, CeAuSb2, YbAlB4, and CeRuSi2.
PACS: 72.10.-d – Theory of electronic transport; scattering mechanisms / 72.10.Di – Scattering by phonons, magnons, and other nonlocalized excitations / 72.15.Rn – Localization effects (Anderson or weak localization)
© EPLA, 2015