A Variational Estimate of the Binding Energy of Charge-Transfer Excitons in the Cuprate Superconductors.

Details A Variational Estimate of the Binding Energy of Charge-Transfer Excitons in the Cuprate Superconductors. A Variational Estimate of the Binding Energy of Charge-Transfer Excitons in the Cuprate Superconductors.

1995-02-23

arxiv.org/abs/cond-mat/9502096v1

Physics

Condensed Matter

Latex document. Figures on request.

Scientific paper

10.1088/0953-8984/7/18/024

We present a variational estimate for the binding energy of a Frenkel exciton in the insulating cuprate superconductors. Starting from the three band Hubbard model we perform a canonical transformation to O($t^2$), where $t$ is the bare nearest neighbour copper-oxygen hopping integral. An effective Hamiltonian is then derived to describe the hopping of the exciton through the copper oxide plane. The critical parameter in the model is the nearest neighbour copper-oxygen coulomb repulsion, $V$. It is found that a critical value of $V$ is needed to observe bound Frenkel excitons, and that these excitons have the same symmetry as the parent copper orbital, $d_{x^2-y^2}$. We determine the critical value of $V$ using a variational approach, and attempt to fit the parameters of the model to known experimental results.

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