Lattice effects on the transport properties of a quasi-two-dimensional metal near a nematic quantum critical point

Electronic nematic order is often accompanied by a lattice distortion. The presence of elastic degrees of freedom is known not only to enhance the transition temperature, but, most importantly, to promote long-range interactions that strongly affect the character of the classical and quantum nematic transitions. In this talk, we investigate the impact of the lattice degrees of freedom on the transport properties near a metallic nematic quantum critical point in quasi-two-dimensional systems. We solve numerically the semi-classical Boltzmann equation by considering impurity scattering as the only source for momentum relaxation. The usual non-Fermi liquid power-law for the resistivity, ρ(T)∝T^4/3, is replaced at very low temperatures by the standard T² behavior. For intermediate temperatures, we obtain an effective temperature-dependent exponent α in ρ(T)∝T^α. We discuss the relevance of our results to recent experiments in S-doped FeSe, which displays a putative nematic quantum critical point.