Phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping - Condensed Matter > Strongly Correlated ElectronsReport as inadecuate




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Abstract: We study the one-dimensional Hubbard model with nearest-neighbor andnext-nearest-neighbor hopping integrals by using the density-matrixrenormalization group DMRG method and Hartree-Fock approximation. Based onthe calculated results for the spin gap, total-spin quantum number, andTomonaga-Luttinger-liquid parameter, we determine the ground-state phasediagram of the model in the entire filling and wide parameter region. We showthat, in contrast to the weak-coupling regime where a spin-gapped liquid phaseis predicted in the region with four Fermi points, the spin gap vanishes in asubstantial region in the strong-coupling regime. It is remarkable that a largevariety of phases, such as the paramagnetic metallic phase, spin-gapped liquidphase, singlet and triplet superconducting phases, and fully polarizedferromagnetic phase, appear in such a simple model in the strong-couplingregime.



Author: S. Nishimoto, K. Sano, Y. Ohta

Source: https://arxiv.org/







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