Abstract.
In order to obtain information about the internal structure of fluctuating Cooper pairs in the pseudogap state and below the transition temperature of high Tc superconductors, we solve the Bethe-Salpeter equation for the two-electron propagator in order to calculate a “pair structure function” \(g_{P}({\mathbf{P}},\pmb{\rho})\) that depends on the internal distance \(\pmb{\rho}\) between the partners and on the center of mass momentum P of the pair. We use an attractive Hubbard model with a local potential for s-wave and a separable potential for d-wave symmetry. The amplitude of gP for small ρ depends on temperature, chemical potential and interaction symmetry, but the ρ dependence itself is rather insensitive to the interaction strength. Asymptotically gP decreases as an inverse power of ρ for weak coupling, but exponentially when a pseudogap develops for stronger interaction. Some possibilities of observing the pair structure experimentally are mentioned.
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Andrenacci, N., Capezzali, M. & Beck, H. Internal structure of fluctuating Cooper pairs. Eur. Phys. J. B 53, 417–432 (2006). https://doi.org/10.1140/epjb/e2006-00397-0
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DOI: https://doi.org/10.1140/epjb/e2006-00397-0