Delocalization of Polaron of the Extended Peierls–Hubbard System in the Mott Phase

TLDR: In this paper, the stable ground state of the one-dimensional strongly correlated electron system with electron-lattice interaction in which one electron is doped from half-filling was investigated.

Abstract: One-dimensional strongly correlated electron system, which is accompanied by interaction with the lattice, has attracted a great deal of interest in both experimental and theoretical studies. At half-filling, this system is a Mott insulator when the electron–lattice interaction is weak. We performed a theoretical investigation of the stable ground state of the one-dimensional strongly correlated electron system with electron–lattice interaction in which one electron is doped from half-filling. We used an extended Peierls–Hubbard model. We report here that, contrary to “common sense” suppositions about the one-dimensional electron–lattice system, a polaron solution appears under conditions of comparatively strong electron–lattice interaction in the Mott phase and that the polaron delocalizes under conditions of weak electron–lattice interaction. These two states are separated by the strength of the electron–lattice interaction.