A charge model as an effective model of one-dimensional Hubbard and extended Hubbard systems: its application to linear optical spectrum calculations in large systems based upon many-body Wannier functions

Abstract

We propose an effective model called the "charge model", for the half-filled one-dimensional Hubbard and extended Hubbard models. In this model, spin-charge separation, which has been justified from an infinite on-site repulsion ($U$) in the strict sense, is compatible with charge fluctuations. Our analyses based on the many-body Wannier functions succeeded in determining the optical conductivity spectra in large systems. The obtained spectra reproduce the spectra for the original models well even in the intermediate $U$ region of $U=5-10T$, with $T$ being the nearest-neighbor electron hopping energy. These results indicate that the spin-charge separation works fairly well in this intermediate $U$ region against the usual expectation and that the charge model is an effective model that applies to actual quasi-one-dimensional materials classified as strongly correlated electron systems.

arXiv comment36 pages, 11 figures

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Cited by in corpus (6)

• Density-matrix renormalization group study of optical conductivity of the Mott insulator for two-dimensional clusters
• Nonequilibrium optical response of a one-dimensional Mott insulator
• Excitonic optical spectra and energy structures in a one-dimensional Mott insulator demonstrated by applying a many-body Wannier functions method to a charge model
• Glassy dynamics of the one-dimensional Mott insulator excited by a strong terahertz pulse
• Extracting Nonlinear Dynamical Response Functions from Time Evolution
• Keldysh crossover in one-dimensional Mott insulators