Phonons and Solitons in 1D Mott Insulators
  We study the problem of one-dimensional (1D) Luttinger liquids in the insulating Mott-Hubbard phase in the presence of acoustic phonons in the semiclassical limit. We show that solitonic excitations can propagate freely in the system and the energy required to produce a soliton is reduced by a polaronic effect. We find a critical value of the electron-phonon coupling constant for which this energy vanishes. 
Chun-Min Chang (UCR), A. H. Castro Neto (BU,UCR), and A. R. Bishop   (LANL)