On the Normal State of the High Temperature Superconductors

Details On the Normal State of the High Temperature Superconductors On the Normal State of the High Temperature Superconductors

1996-09-26

arxiv.org/abs/cond-mat/9609256v1

Physics

Condensed Matter

4 pages, latex

Scientific paper

Based on a Fermi liquid model, we present several results on the normal state of the optimally doped and overdoped cuprate superconductors. Our main result is an analytic demonstration, backed by self-consistent numerical calculations, of the linear in temperature resistivity and linear in 1/(energy) optical conductivity, provided the interacting Fermi liquid has strong peaks in its density of states (van-Hove singularities in 2 dimensions) near the chemical potential. Moreover, we find that the interactions tend to pin these strong peaks close to the chemical potential. This fact compares favorably with experiment on a variety of cuprates. Finally, we show that the above scenario yields naturally the low energy dependence of the experimentally determined susceptibility, without reference to spin waves.

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