Band-Insulator-Metal-Mott-Insulator transition in the half--filled $t-t^{\prime}$ ionic-Hubbard chain

Details Band-Insulator-Metal-Mott-Insulator transition in the half--filled $t-t^{\prime}$ ionic-Hubbard chain Band-Insulator-Metal-Mott-Insulator transition in the half--filled $t-t^{\prime}$ ionic-Hubbard chain

2006-11-15

arxiv.org/abs/cond-mat/0611415v1

Physics

Condensed Matter

Strongly Correlated Electrons

9 pages 3 figures

Scientific paper

10.1103/PhysRevB.75.245122

We investigate the ground state phase diagram of the half-filled $t-t^{\prime}$ repulsive Hubbard model in the presence of a staggered ionic potential $\Delta$, using the continuum-limit bosonization approach. We find, that with increasing on-site-repulsion $U$, depending on the value of the next-nearest-hopping amplitude $t^{\prime}$, the model shows three different versions of the ground state phase diagram. For $t^{\prime} < t^{\prime}_{\ast}$, the ground state phase diagram consists of the following three insulating phases: Band-Insulator at $U U_{c}$. For $t^{\prime} > t^{\prime}_{c}$ there is only one transition from a spin gapped metallic phase at $U U_{c}$. Finally, for intermediate values of the next-nearest-hopping amplitude $t^{\prime}_{\ast} < t^{\prime} < t^{\prime}_{c}$ we find that with increasing on-site repulsion, at $U_{c1}$ the model undergoes a second-order commensurate-incommensurate type transition from a band insulator into a metallic state and at larger $U_{c2}$ there is a Kosterlitz-Thouless type transition from a metal into a ferroelectric insulator.

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