Ph. Dickinson et S. Doniach, CALCULATION OF ANGLE-RESOLVED PHOTOEMISSION AND TUNNELING FOR A CUO2 LAYER IN THE NORMAL AND SUPERCONDUCTING STATES, Physical review. B, Condensed matter, 47(17), 1993, pp. 11447-11461
We represent the normal-state electronic structure of a CuO2 layer in
terms of a three-band model having an infinite Cu intrasite Coulomb re
pulsion. We express the Lagrangian for this model using a slave-boson
formalism and approximate it in a large-N expansion to order 1/N in th
e zero-temperature limit. The angle-resolved spectral weight determine
d from the resulting Green's functions suggests that within this pictu
re higher-order corrections in 1/N are necessary for good agreement wi
th the corresponding angle-resolved photoemission data. We phenomenolo
gically add spin-dependent Heisenberg interactions between neighboring
Cu sites and neighboring Cu and O sites. These interactions form the
basis of a nonretarded calculation of the superconducting state. For t
he case of an interaction between neighboring Cu spins only, the lowes
t-energy solution possesses d(x2 - y2) symmetry. The use of a three-ba
nd model leads to the possibility of the addition of the interaction b
etween Cu and O spins. The resulting d + idp superconducting state inv
olves pairing of carriers in Cu orbitals both with themselves and with
holes on the O orbitals. This additional pairing will remove the node
in the d-wave state at T = O by an amount that depends on the Cu-O co
upling parameter; however, the mixed-symmetry state occurs only for a
narrow range of coupling parameters. The angle-resolved photoemission
and tunneling results are calculated and compared to experimental find
ings.