Phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping

Details Phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping Phase diagram of the one-dimensional Hubbard model with next-nearest-neighbor hopping

2007-10-11

arxiv.org/abs/0710.2274v1

Physics

Condensed Matter

Strongly Correlated Electrons

11 pages, 8 figures

Scientific paper

10.1103/PhysRevB.77.085119

We study the one-dimensional Hubbard model with nearest-neighbor and next-nearest-neighbor hopping integrals by using the density-matrix renormalization group (DMRG) method and Hartree-Fock approximation. Based on the calculated results for the spin gap, total-spin quantum number, and Tomonaga-Luttinger-liquid parameter, we determine the ground-state phase diagram of the model in the entire filling and wide parameter region. We show that, in contrast to the weak-coupling regime where a spin-gapped liquid phase is predicted in the region with four Fermi points, the spin gap vanishes in a substantial region in the strong-coupling regime. It is remarkable that a large variety of phases, such as the paramagnetic metallic phase, spin-gapped liquid phase, singlet and triplet superconducting phases, and fully polarized ferromagnetic phase, appear in such a simple model in the strong-coupling regime.

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