Mott Transition And Dimerization in The One-dimensional Su(n) Hubbard Model

Buchta, K. and Legeza, Örs and Szirmai, Edina and Sólyom, Jenő (2007) Mott Transition And Dimerization in The One-dimensional Su(n) Hubbard Model. PHYSICAL REVIEW B, 75 (15). ISSN 2469-9950

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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 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-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-c=0, the spin sector remains gapless, and the ground state is nondimerized.

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