The Hall Number, Optical Sum Rule and Carrier Density for the t-t'-J model
Abstract
We revisit the relationship between three classical measures of particle number, namely the chemical doping x, the Hall number xhall and the particle number inferred from the optical sum rule xopt. We study the t-t'-J model of correlations on a square lattice, as a minimal model for High Tc systems, using numerical methods to evaluate the low temperature Kubo conductivites. These measures disagree significantly in this type of system, owing to Mott Hubbard correlations. The Hall constant has a complex behavior with several changes of sign as a function of filling x, depending upon the model parameters. Thus xhall depends sensitively on t' and J, due to a kind of quantum interference.
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