Charge Gap in the One-Dimensional Extended Hubbard Model at Quarter Filling

Abstract

We propose a new combined approach of the exact diagonalization, the renormalization group and the Bethe ansatz for precise estimates of the charge gap $\Delta$ in the one-dimensional extended Hubbard model with the onsite and the nearest-neighbor interactions $U$ and $V$ at quarter filling. This approach enables us to obtain the absolute value of $\Delta$ including the prefactor without ambiguity even in the critical regime of the metal-insulator transition (MIT) where $\Delta$ is exponentially small, beyond usual renormalization group methods and/or finite size scaling approaches. The detailed results of $\Delta$ down to of order of $10^{-10}$ near the MIT are shown as contour lines on the $U$-$V$ plane.

4 pages, 4 figures

References in corpus (5)

• Tricritical Behavior in the Extended Hubbard Chains
• Flow equation solution for the weak to strong-coupling crossover in the sine-Gordon model
• Flow equation approach to the sine-Gordon model
• Combined Analysis of Numerical Diagonalization and Renormalization Group methods for the One-Dimensional $U$-$V$ Model at Quarter filling
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Cited by in corpus (8)

• One-dimensional extended Hubbard model in the atomic limit
• Quantum phases of a one-dimensional dipolar Fermi gas
• Pairwise entanglement and the Mott transition for correlated electrons in nanochains
• Local density of states of a quarter-filled one-dimensional Mott insulator with a boundary
• Hubbard ring: currents induced by change of magnetic flux
• Competing phases and critical behavior in three coupled spinless Luttinger liquids
• Functional Renormalization Group for fermions on a one dimensional lattice at arbitrary filling
• One-dimensional interacting Su-Schrieffer-Heeger model at quarter filling: An exact diagonalization study