The normal state scattering rate in high- cuprates

Abstract

I present a new phenomenological model for the normal state transport properties of high-Tc cuprates. In particular, I identify a form of scattering rate that may account, qualitatively and quantitatively, for the normal state (magneto)-transport properties of Tl2Ba2CuO 6+δ and Bi2Sr2CaCu2O 8+δ from optimal doping through to the overdoped side of the phase diagram. The form of the scattering rate is also consistent with features seen in photoemission spectroscopy in Bi2Sr2CaCu2O 8+δ and offers a new intuitive way to understand the evolution of the temperature dependence of the inverse Hall angle with disorder and with carrier concentration.

Hole superconductivity in the electron-doped superconductorPr2−xCexCuO4

“…This was interpreted in the framework of Fermi Liquid theory by the existence of hot spots, small regions on the Fermi surface with very short scattering time 8 , 9 , 10 , or "cold spots" 11 , 12 . N. E. Hussey suggested an anisotropic T 2 scattering rate combined with T independent scattering rate 13 . Other non Fermi liquid ideas involved, two different scattering times for the charge and spin channels, 14 or the Marginal Fermi Liquid theory with a linear in T, isotropic scattering rate and a temperature independent small angle impurity scattering 15 .…”

Saturation of resistivity and Kohler's rule in Ni-dopedLa1.85Sr0.15CuO4cuprate

“…Resistivity in this region is described extremely well by the parallel-resistor formula The ρ id term is the ideal resistivity in the absence of saturation [19] and the additive-in-conductivity formalism stems from existence of the minimal scattering time τ min , equivalent to Ioffe-Regel-Mott limit, which causes the shunt ρ sat to always influence ρ in normal metals [33,34]. The formula was used for overdoped LSCO [35] but with the large-Fermi-surface ρ sat value [34] as a fixed parameter. The excellent fits of Eq.…”

Ong construction for the reconstructed Fermi surface of underdoped cuprates

“…Indeed, it is well known that in UD cuprates, ρ ab (T ) becomes T linear above a characteristic temperature T * related to the magnitude of the pseudogap [33]. One simple and well-explored procedure to account for this deviation from a pure T 2 dependence at intermediate temperatures is to introduce a maximum (saturation) scattering rate max in parallel with (T ) [34]. The magnitude of max is set to v F /a-commonly referred to as the Mott-Ioffe-Regel (MIR) limit-corresponding to a minimum mean-free-path l ∼ a, the (in-plane) lattice constant.…”