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One-band Hubbard model with hopping asymmetry and the effective theory at finite U: Phase diagram and metal-insulator transition | | Yuchuan Wen
; Yue Yu
; | | Date: |
21 Jul 2005 | | Journal: | Phys. Rev. B 72, 045130 (2005) DOI: 10.1103/PhysRevB.72.045130 | | Subject: | Strongly Correlated Electrons | cond-mat.str-el | | Abstract: | We study the one-band Hubbard model at half filling with hopping asymmetry and its effective model at finite but large U up to the second order of tmix/U. Two variational wave functions, the resonating valence bond (RVB) wave function and antiferromagnetic (AF) RVB coexisted wave function, are studied by variational Monte Carlo method on L*L square lattices up to L=12. Based on these two wave functions, the phase diagrams for both models are presented. For the Hubbard model, we find that there is a metal-insulator transition when the hopping parameter tmix which changes the local double occupant vanishes while only a metal-insulator crossover is explored for any finite tmix. For the effective model in which the perturbation expansion is up to the second order of tmix/U, a clear metal-insulator transition can be identified for both variational wave functions and the phase diagram can be drawn accordingly. In both models, we find that the systems are dominated by AF-RVB wave function when U is large while the RVB wave function is favored when U is small. | | Source: | arXiv, cond-mat/0507494 | | Services: | Forum | Review | PDF | Favorites | |
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