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Recent ARPES experiments on doped 1D cuprates revealed the importance ofeffective near-neighbor (NN) attractions in explaining certain features inspectral functions. Here we investigate spectral properties of the extendedHubbard model with the on-site repulsion $U$ and NN interaction $V$, byemploying bosonization analysis and the high-precision time-dependentvariational principle (TDVP) calculations of the model on 1D chain with up to300 sites. From state-of-the-art TDVP calculations, we find that the spectralweights of the holon-folding and $3k_F$ branches evolve oppositely as afunction of $V$. This peculiar dichotomy may be explained in bosonizationanalysis from the opposite dependence of exponent that determines the spectralweights on Luttinger parameter $K_{\rho}$. Moreover, our TDVP calculations ofmodels with fixed $U=8t$ and different $V$ show that $V\approx -1.7t$ may fitthe experimental results best, indicating a moderate effective NN attraction in1D cuprates that might provide some hints towards understandingsuperconductivity in 2D cuprates.

Spectral properties of 1D extended Hubbard model from bosonization and time-dependent variational principle: applications to 1D cuprate