Relation Between Electrical Resistivity and Nuclear Relaxation Rate in Metallic States for both Fermi– and Non–Fermi–Liquid Phases

Abstract

Abstract Fermi–liquid theory in two dimensions, for electron or hole liquids flowing through antiferromagnetic assemblies, yields RT 1 α T, where R is the electrical resistivity and T 1 −1 the nuclear relaxation rate. This relation holds over an appropriate temperature range for Cu spins in underdoped high Tc cuprates. Here a non–Fermi–liquid phase of a strongly disordered metallic spin glass is pointed out to exhibit a relation RT 1 ∝ Tn , again over a restricted temperature range, where the exponent n has the meanfield value of 5/4.