The relation between magnetism and electronic transport properties in strongly correlated electron liquids, including hightc materials

Abstract

Liquid metallic caesium, taken up the liquid–vapor coexistence curve towards the critical point, exhibits a crossover from Pauli spin paramagnetism near freezing to Curie-like behavior near criticality. This transition is discussed in terms of conventional Fermi liquid theory at low temperatures and heavy Fermion behavior on approaching the critical region. The maximum in the magnetic susceptibility permits an estimate of the discontinuity q in the momentum distribution at the corresponding density, and this has recently been checked independently using NMR data. An argument is presented, via q, which links a nonequilibrium transport property, namely, electronic conductivity, to a thermodynamic quantity, the magnetic susceptibility. With the above as background, a search has been made for related correlations in the normal state of the high Tc superconducting copper oxides. Using again Fermi liquid theory (now two-dimensional), it is first argued that there should be an intimate correlation between nuclear spin-lattice relaxation time T1 and electrical resistivity R. This is borne out, at least partially, by available experiments. In the same context, the antiferromagnetic susceptibility χ(Q), with Q the antiferromagnetic wave number, is linked with T1 and R. Finally some brief comments are made on the interpretation of Hall and thermopower measurements. © 1994 John Wiley & Sons, Inc.