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

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 $T^2$ 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 CeCoIn${}_5$, Sr${}_3$Ru${}_2$O${}_7$, YbRh${}_2$Si${}_2$, La${}_{2-x}$Ce${}_x$CuO${}_4$, Tl${}_2$Ba${}_2$CuO${}_{6+x}$, CeAuSb${}_2$, YbAlB${}_4$, and CeRuSi${}_2$.

Published version, plus supplementary information with 3 appendices. Corrects a couple of typos in the published version. 7 pages total

References in corpus (8)

• Fermi-liquid instabilities at magnetic quantum phase transitions
• Fermi surface and van Hove singularities in the itinerant metamagnet Sr3Ru2O7
• Nonvanishing Energy Scales at the Quantum Critical Point of CeCoIn5
• Field Evolution of Coexisting Superconducting and Magnetic Orders in CeCoIn${}_5$
• Quantum oscillations near the metamagnetic transition in Sr3Ru2O7
• Nonanalytic paramagnetic response of itinerant fermions away and near a ferromagnetic quantum phase transition
• Quantum critical scaling at the edge of Fermi liquid stability in a cuprate superconductor
• Field-induced quantum critical route to a Fermi liquid in high-temperature superconductors

Cited by in corpus (1)

• Conductivity of weakly disordered metals close to a "ferromagnetic" quantum critical point