Mott transition and dimerization in the one-dimensional SU$(n)$ Hubbard model

Abstract

The one-dimensional SU$(n)$ Hubbard model is investigated numerically for $n=2,3,4$, and 5 at half filling and $1/n$ filling using the density-matrix renormalization-group (DMRG) method. The energy gaps and various quantum information entropies are calculated. In the half-filled case, finite spin and charge gaps are found for arbitrary positive $U$ if $n>2$. Furthermore, it is shown that the transition to the gapped phase at $U_{\mathrm{c}}=0$ is of Kosterlitz-Thouless type and is accompanied by a bond dimerization both for even and odd $n$. In the $1/n$-filled case, the transition has similar features as the metal-insulator transition in the half-filled SU(2) Hubbard model. The charge gap opens exponentially slowly for $U>U_{\mathrm{c}}=0$, the spin sector remains gapless, and the ground state is non-dimerized.

9 pages, 12 figures

References in corpus (5)

• Quantum Phase Transitions and Bipartite Entanglement
• Ultracold fermions and the SU(N) Hubbard model
• Boundary effects in the critical scaling of entanglement entropy in 1D systems
• Entanglement entropy and entanglement witnesses in models of strongly interacting low-dimensional fermions
• Possible phases of two coupled n-component fermionic chains

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