Metal-insulator transition in the one-dimensionalSU(N)Hubbard model
| Autor: | Philippe Lecheminant, Michel Caffarel, Roland Assaraf, Patrick Azaria |
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| Rok vydání: | 1999 |
| Předmět: | |
| Zdroj: | Physical Review B. 60:2299-2318 |
| ISSN: | 1095-3795 0163-1829 |
| DOI: | 10.1103/physrevb.60.2299 |
| Popis: | We investigate the metal-insulator transition of the one-dimensional $\mathrm{SU}(N)$ Hubbard model for repulsive interaction. Using the bosonization approach a Mott transition in the charge sector at half filling ${(k}_{F}=\ensuremath{\pi}{/Na}_{0})$ is conjectured for $Ng2.$ Expressions for the charge and spin velocities as well as for the Luttinger-liquid parameters and some correlation functions are given. The theoretical predictions are compared with numerical results obtained with an improved zero-temperature quantum Monte Carlo approach. The method used is a generalized Green's function Monte Carlo scheme in which the stochastic time evolution is partially integrated out. Very accurate results for the gaps, velocities, and Luttinger-liquid parameters as a function of the Coulomb interaction $U$ are given for the cases $N=3$ and $N=4.$ Our results strongly support the existence of a Mott-Hubbard transition at a nonzero value of the Coulomb interaction. We find ${U}_{c}\ensuremath{\sim}2.2$ for $N=3$ and ${U}_{c}\ensuremath{\sim}2.8$ for $N=4.$ |
| Databáze: | OpenAIRE |
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