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.

11 pages, 8 figures

References in corpus (5)

• Tomonaga-Luttinger parameters for doped Mott insulators
• Superconductivity due to spin fluctuations originating from multiple Fermi surfaces in a double chain superconductor Pr${}_2$Ba${}_4$Cu${}_7$O${}_{15-\delta }$}
• Ring Exchange Mechanism for Triplet Superconductivity in a Two-Chain Hubbard Model: Possible Relevance to Bechgaard Salts
• Breakdown of the Luttinger sum-rule at the Mott-Hubbard transition in the one-dimensional t1-t2 Hubbard model
• Filling-dependence of the zigzag Hubbard ladder for a quasi-one-dimensional superconductor Pr_2Ba_4Cu_7O_{15-delta}

Cited by in corpus (11)

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• Superconductivity in a model of two Hubbard chains coupled with ferromagnetic exchange interaction
• 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
• Ground-State Properties of the $t$-$J$ Model for the CuO Double-Chain Structure
• Repulsion driven metallic phase in the ground state of the half-filled $t-t^{\prime }$ ionic Hubbard chain
• Kondo dynamics in one-dimensional doped ferromagnetic insulators
• 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
• Transfer learning of many-body electronic correlation entropy from local measurements