Mott transition and dimerization in the one-dimensionalSU(n)Hubbard model
| Autor: | K. Buchta, E. Szirmai, Ö. Legeza, J. Sólyom |
|---|---|
| Rok vydání: | 2007 |
| Předmět: |
Condensed Matter::Quantum Gases
Physics Hubbard model Condensed matter physics Charge (physics) Type (model theory) Condensed Matter Physics Electronic Optical and Magnetic Materials Mott transition Quantum mechanics Condensed Matter::Strongly Correlated Electrons Quantum information Ground state Energy (signal processing) Spin-½ |
| Zdroj: | Physical Review B. 75 |
| ISSN: | 1550-235X 1098-0121 |
| Popis: | The one-dimensional $\mathrm{SU}(n)$ 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 $ng2$. 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 $Ug{U}_{c}=0$, the spin sector remains gapless, and the ground state is nondimerized. |
| Databáze: | OpenAIRE |
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