Insulating charge density wave for a half-filled SU(N) Hubbard model with an attractive on-site interaction in one dimension

Abstract

We study a one-dimensional SU(N) Hubbard model with an attractive on-site interaction and $N>2$ at half-filling on the bipartite lattice using density-matrix renormalization-group method and a perturbation theory. We find that the ground state of the SU(N) Hubbard model is a charge density wave state with two-fold degeneracy. All the excitations are found to be gapful, resulting in an insulating ground state, on contrary to that in the SU(2) case. Moreover, the charge gap is equal to the Cooperon gap, which behaves as $-2N{t}^2/(N-1)U$ in the strong coupling regime. However, the spin gap ${\Delta }_s$ and the quasiparticle gap ${\Delta }_1$ as well open exponentially in the weak coupling region, while in the strong coupling region, they linearly depend on $U$ such that ${\Delta }_s\sim -U(N-1)$ and ${\Delta }_1\sim -U(N-1)/2$.

7 pages, 7 figures

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• Phase diagrams of one-dimensional half-filled two-orbital SU(N) cold fermions systems
• Competing orders in one-dimensional half-filled multicomponent fermionic cold atoms: The Haldane-charge conjecture
• SU(3) Fermions on the Honeycomb Lattice at 1/3-Filling
• Rigorous results on the ground state of the attractive SU($N$) Hubbard model
• Spontaneously symmetry breaking states in the attractive SU$(N)$ Hubbard model
• Photoinduced prethermal order parameter dynamics in the two-dimensional large-$N$ Hubbard-Heisenberg model
• Relation between the noise correlations and the spin structure factor for Mott-insulating states in SU$(N)$ Hubbard models
• An algebraic approach to revealing magnetic structures of ground states in many-electron systems
• Edge-Edge Correlations without Edge-States: $\eta$-clustering State as Ground State of the Extended Attractive SU(3) Hubbard Chain