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

Abstract

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.

arXiv comment11 pages, 8 figures

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• Floquet engineering of the Lifshitz phase transition in the Hubbard model
• Nonmonotonic Pressure Dependence of the Lattice Parameter $a$ in the Quasi-one-dimensional Superconductor Pr${}_2$Ba${}_4$Cu${}_7$O${}_{15-\delta }$
• Magnetism of one-dimensional Wigner lattices and its impact on charge order
• Bound state of a hole and a triplet spin in the $t_1$-$t_2$-$J_1$-$J_2$ model
• Ground-State Properties of the $t$-$J$ Model for the CuO Double-Chain Structure
• Kondo dynamics in one-dimensional doped ferromagnetic insulators
• Repulsion driven metallic phase in the ground state of the half-filled $t-t^{\prime }$ ionic Hubbard chain
• Ferromagnetic clouds caused by hole motion in a one-dimensional $t$-$J$ mode
• Transfer learning of many-body electronic correlation entropy from local measurements
• Theoretical analysis of the origin of the double-well band dispersion in the CuO double chains of Pr${}_2$Ba${}_4$Cu${}_7$O${}_{15-\delta }$ and its impact on superconductivity
• Insulating and metallic phases in the one-dimensional Hubbard-Su-Schrieffer-Heeger model: Insights from a backflow-inspired variational wave function