Abstract
For a bilayer model of the high-Tc cuprates consisting of two coupled Hubbard planes we calculate within the FLEX (fluctuation exchange) approximation the quasiparticle self-energies and dynamic spin susceptibilities. We consider a Fermi surface similar to those of the YBaCuO cuprates, an on-site Coulomb repulsion U = 6 t (where t is the intraplane hopping), and interplane hoppings t’ up to t’ = 0.7 t. For sufficiently large t'(≳0.3 t) the spin susceptibility gC− due to transitions between the bonding and antibonding states becomes much larger than the susceptibility gC+ for transitions within the same band. The spectral density Im gC−(q, ω) exhibits a peak centered at the antiferromagnetic wavevector q = Q = (π, π) and at the antiparamagnon frequency ω = ωsf. For decreasing temperature T and increasing t’ the peak becomes more and more pronounced. We calculate the Fermi lines of the bonding and antibonding bands for different t'. The superconducting transition temperature Tc for dx 2−y2-wave pairing decreases as t' increases. Our results are in qualitative agreement with magnetic neutron scattering, magnetic resonance, and photoemission experiments on bilayer YBaCuO cuprates. They are also consistent with the results of quantum Monte Carlo simulations.
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Dahm, T., Manske, D. & Tewordt, L. Physical quantities for two coupled Hubbard planes and comparison with experiments on Bilayer high-Tc cuprates. Z. Phys. B 102, 323–329 (1997). https://doi.org/10.1007/s002570050295
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DOI: https://doi.org/10.1007/s002570050295