Low-energy excitations of the one-dimensional half-filled SU(4) Hubbard model with an attractive on-site interaction: Density-matrix renormalization-group calculations and perturbation theory

Abstract

We investigate low-energy excitations of the one-dimensional half-filled SU(4) Hubbard model with an attractive on-site interaction U < 0 using the density matrix renormalization group method as well as a perturbation theory. We find that the ground state is a charge density wave state with a long range order. The ground state is completely incompressible since all the excitations are gapful. The charge gap which is the same as the four-particle excitation gap is a non-monotonic function of U, while the spin gap and others increase with increasing |U| and have linear asymptotic behaviors.

arXiv comment4 pages, 3 figures, submitted

References in corpus (5)

• Exact SO(5) Symmetry in spin 3/2 fermionic system
• Production of a Fermi gas of atoms in an optical lattice
• SU(4) spin-orbit critical state in one dimension
• Metal-insulator transition in the one-dimensional SU(N) Hubbard model
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Cited by in corpus (10)

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• Spin 3/2 fermions with attractive interactions in a one-dimensional optical lattice: phase diagrams, entanglement entropy, and the effect of the trap
• 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
• Competing orders in the generalized Hund chain model at half-filling
• Duality approach to one-dimensional degenerate electronic systems
• Insulating charge density wave for a half-filled SU(N) Hubbard model with an attractive on-site interaction in one dimension
• Finite-temperature decoherence of spin states in a $\text{{}{\text{Cu}}_3\text{}}$ single molecular magnet
• Density Matrix Renormalization Group simulations of the SU(N) Fermi-Hubbard chain implementing the full SU(N) symmetry via Semi-Standard Young Tableaux and Unitary Group Subduction Coefficients