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

Abstract

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 $t^{\prime }<t_{\ast }^{\prime }$, the ground state phase diagram consists of the following three insulating phases: Band-Insulator at $U<U_c$, Ferroelectric Insulator at $U_c<U<U_s$ and correlated (Mott) Insulator at $U>U_c$. For $t^{\prime }>t_c^{\prime }$ there is only one transition from a spin gapped metallic phase at $U<U_c$ to a ferroelectric insulator at $U>U_c$. Finally, for intermediate values of the next-nearest-hopping amplitude $t_{\ast }^{\prime }<t^{\prime }<t_c^{\prime }$ 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.

arXiv comment9 pages 3 figures

References in corpus (33)

• Bosonization and Strongly Correlated Systems
• Dimerization and Incommensurate Spiral Spin Correlations in the Zigzag Spin Chain: Analogies to the Kondo Lattice
• Electron Localization in the Insulating State
• Exact expectation values of local fields in quantum sine-Gordon model
• Weak Coupling Phase Diagram of the Two Chain Hubbard Model
• Numerical Evidence for Multiplicative Logarithmic Corrections from Marginal Operators
• From band insulator to Mott insulator in one dimension
• Variational description of Mott insulators
• Non-integrable aspects of the multi-frequency Sine-Gordon model
• Can correlations drive a band insulator metallic?
• Ferromagnetic transition and phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping
• Quantum critical behavior of the one-dimensional ionic Hubbard model
• Dielectric catastrophe at the Mott transition
• Critical properties of the double-frequency sine-Gordon model with applications
• Nature of the insulating phases in the half-filled ionic Hubbard model
• Phase diagram of the Hubbard chain with two atoms per cell
• Exact Bond Ordered Ground State for the Transition Between the Band and the Mott Insulator
• From Mott Insulator to Band Insulator: A DMFT Study
• Superconductivity from doping a spin liquid insulator: a simple one-dimensional example
• Phase diagram of the half-filled Hubbard chain with next-nearest-neighbor hopping
• Insulator-Metal Transition in One Dimension Induced by Long-Range Electronic Interactions
• Quantum phase diagram of the generalized ionic Hubbard model for AB${}_n$ chains
• DMRG study of the spin gap in a one dimensional Hubbard model: effect of the distant transfer and exchange coupling
• Ground-state phase diagram of the one-dimensional Hubbard-model with an alternating potential
• The dimerized phase of ionic Hubbard models
• Detection of topological transitions by transport through molecules and nanodevices
• Numerical study of a superconductor-insulator transition in a half-filled Hubbard chain with distant transfers
• Charge dynamics in the Mott insulating phase of the ionic Hubbard model
• Insulator-metal-insulator transition and selective spectral weight transfer in a disordered strongly correlated system
• Fermi surface renormalization in Hubbard ladders
• Interaction induced collapse of a section of the Fermi sea in in the zig-zag Hubbard ladder
• Phase diagram of the $t-t^{\prime }-U$ chain at half filling
• Breakdown of the Luttinger sum-rule at the Mott-Hubbard transition in the one-dimensional t1-t2 Hubbard model

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