Eder and Ohta have found a violation of the Luttinger rule in the spectral function for the ${t\ensuremath{-}t}^{\ensuremath{'}}\ensuremath{-}J$ model, which was interpreted as a possible breakdown of the Tomonaga-Luttinger (TL) description in models where electrons can pass each other. Here we have computed the spin correlation along with the spectral function for the one-dimensional ${t\ensuremath{-}t}^{\ensuremath{'}}$ Hubbard model and two-leg Hubbard ladder. By varying the Hubbard $U$ we have identified that such a phenomenon is in fact a spinless-fermion-like behavior of holes moving in a spiral spin configuration that has a spin correlation wavelength equal to the system size.Eder and Ohta have found a violation of the Luttinger rule in the spectral function for the ${t\ensuremath{-}t}^{\ensuremath{'}}\ensuremath{-}J$ model, which was interpreted as a possible breakdown of the Tomonaga-Luttinger (TL) description in models where electrons can pass each other. Here we have computed the spin correlation along with the spectral function for the one-dimensional ${t\ensuremath{-}t}^{\ensuremath{'}}$ Hubbard model and two-leg Hubbard ladder. By varying the Hubbard $U$ we have identified that such a phenomenon is in fact a spinless-fermion-like behavior of holes moving in a spiral spin configuration that has a spin correlation wavelength equal to the system size.

arXiv:cond-mat/9809084Physical review. B, Condensed matterNov 1, 19989 citations

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we have identified that such a phenomenon is in fact a spinless-fermion-like behavior of holes moving in a spiral spin configuration that has a spin correlation wavelength equal to the system size.