M. Schneider et E. Sigmund, PERIOD-DOUBLING IN QUASI-ONE-DIMENSIONAL SYSTEMS - A NONADIABATIC APPROACH, Physica. B, Condensed matter, 190(4), 1993, pp. 352-360
In this article we propose a new approach to the electron-phonon probl
em in partially filled bands. With the help of the 'rotating wave appr
oximation' we derive a reduced hamiltonian that can partially be diago
nalized analytically in a many-particle basis. Structurally different
many-particle states show up. While in the conventional adiabatic trea
tment Of quasi-one-dimensional systems already an arbitrary small elec
tron-phonon coupling can lead to a Peierls-type distortion, within the
here proposed formalism we may conclude that a critical coupling stre
ngth has to be overcome for an energy gap above the highest occupied s
tate to occur.