Possible explanation for the absence of bilayer splitting in YBCO
H. Monien, N. Elstner, A. J. Millis
Abstract
It has been claimed that the absence of the bilayer splitting in the high-temperature superconductor YBCO is a strong experimental indication that there are no coherent quasiparticles present in the CuO planes. We study a pair of strongly correlated planes which are connected by a hopping transfer integral t in the limit of large in-plane coordination number. The effect of the correlation is incorporated in a dynamical mean-field theory, where the Weiss field is determined by a two-site Hubbard Hamiltonian. We have solved this problem by numerical techniques and present results for the spectral function ρ for relevant parameters of the model. For small t we find the coherent hoping between planes to be proportional to the in-plane quasiparticle renormalisation.
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