G. Bevilacqua et al., ROLE OF THE BREATHING MODE IN A STRONGLY COUPLED E-CIRCLE-TIMES-EPSILON JAHN-TELLER SYSTEM, Journal of physics. Condensed matter (Print), 10(45), 1998, pp. 10347-10355
The theoretical absorption spectrum of a vibronic Ex epsilon system ex
hibits two main peaks of different height and width, and, at very stro
ng Jahn-Teller energy, other peaks at higher energies (cone resonances
or Slonczewski resonances). Tetrameric cations of the group V element
s (P-4(+), As-4(+), Sb-4(+)) can be pictured as strongly coupled Ex ep
silon Jahn-Teller systems; however, high resolution photoelectron spec
tra available in the literature exhibit only two broad spectral bands.
To explain the disappearance of the cone resonances, we have consider
ed a two-mode vibronic model, that, besides a strong linear interactio
n with the mode epsilon, also includes a linear interaction with the t
otal symmetric mode alpha(1) (breathing mode); we have also considered
separately off-diagonal second-order effects on the Ex epsilon Jahn-T
eller system. The analysis has been carried out in the framework of th
e recursion Lanczos technique, properly implemented. We have verified
that the Slonczewski resonances are quenched by the breathing mode, ev
en in the case of moderate coupling; we have then compared our Ex(epsi
lon + alpha(1)) model with the available experimental spectra of group
V tetrameric clusters.