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Internal structure of fluctuating Cooper pairs
Authors:N. Andrenacci  M. Capezzali  H. Beck
Affiliation:(1) Institut de Physique, Université de Neuchatel, 2000 Neuchatel, Switzerland;(2) Dipartimento di Fisica, Universitá degli Studi di Salerno, 84084 Baronissi, Italy;(3) School of Engineering, Swiss Federal Institute of Technology (EPFL), 1015 Ecublens, Switzerland
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.
Keywords:74.20.Fg BCS theory and its development  74.20.Rp Pairing symmetries (other than s-wave)
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