Particle-like excitations in systems described by the Hubbard model without the chirality condition

Consideration is given to the consequences of giving up the chirality condition and the assumptions about the nature of the dynamics in the Hubbard model used by Lindner and Fedyanin [1]. A self-consistent pair of soliton solutions is found for the case when the electron-phonon interaction is switched off ($I=0$) and their possible modifications for $I\ne0$ are discussed.