M. Klenner et al., CALCULATED PHONON-DISPERSION OF INFINITE-LAYER COMPOUNDS AND THE EFFECTS OF CHARGE FLUCTUATIONS, Zeitschrift fur Physik. B, Condensed matter, 95(4), 1994, pp. 417-425
In a first step we use an ab initio rigid-ion model (RIM) to calculate
the lattice parameters and the phonon dispersion of the ''infinite-la
yer'' compounds CaCuO2, SrCuO2, and BaCuO2. We find an increase of bot
h the planar and the axial lattice constant when going from CaCuO2 thr
ough SrCuO2 to BaCuO2. The rate of increase of the planar lattice cons
tant with respect to the alkaline-earth ionic radius is calculated to
be smaller for the replacement of Sr by Ba than for the replacement of
Ca by Sr. Both results are in accordance with experimental studies. T
he phonon dispersion in the RIM exhibits several unstable branches mai
nly related to axial displacements of the oxygens, indicating the tend
ency of the crystal to reconstruct in a lower-symmetry structure. The
structural stability increases, however, towards BaCuO2; simultaneousl
y, the maximum phonon frequency decreases. An A(2u) zone-center mode w
ith very large LO-TO-splitting exists in all three compounds (''ferroe
lectric'' mode). In a second step charge fluctuations (CF) are taken i
nto account at the copper- and oxygen ions, using SrCuO2 as an example
. Due to the vanishing of the ''ferroelectric split'' a branch with ve
ry steep dispersion forms in the [001] direction in the metallic phase
whereas the zone-center A(2u) modes are unchanged in the insulating p
hase because of the two-dimensional (2D) electronic structure assumed.
Characteristic nonlocal electron-phonon-interaction effects are assoc
iated with the Z-point Sr-axial-breathing mode: CF of uniform sign wit
hin the CuO planes but alternating sign in consecutive planes do occur
in the metalic phase. This ''interplane charge transfer'' is, on the
other hand, suppressed in the insulating phase due to the 2D electroni
c structure assumed. Instead, large induced site-potential changes eme
rge in this case.