Phonons and Solitons in 1D Mott Insulators
Chun-Min Chang, A. H. Castro Neto, A. R. Bishop
Abstract
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.
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