Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2000-08-31
Physical Review B 62, 6991 (2000)
Physics
Condensed Matter
Strongly Correlated Electrons
6 pages, 5 figures, two columns latex version. Accepted for publication in Physical Review B. Mistaken reference 16 has been c
Scientific paper
10.1103/PhysRevB.62.6991
We consider a modified extended Hubbard model (EHM) which, in addition to the on-site repulsion U and nearest-neighbor repulsion V, includes polarization effects in second-order perturbation theory. The model is equivalent to an EHM with renormalized U plus a next-nearest-neighbor repulsion term. Using a method based on topological quantum numbers (charge and spin Berry phases), we generalize to finite hopping t the quantum phase diagram in one dimension constructed by van den Brink et al. (Phys. Rev. Lett. 75, 4658 (1995)). At hopping t=0 there are two charge density-wave phases, one spin density-wave phase and one intermediate phase with charge and spin ordering, depending on the parameter values. At t \neq 0 the nature of each phase is confirmed by studying correlation functions. However, in addition to the strong-coupling phases, a small region with bond ordering appears. The region occupied by the intermediate phase first increases and then decreases with increasing t, until it finally disappears for t of the order but larger than U. For small t, the topological transitions agree with the results of second order perturbation theory.
Aligia Armando A.
Ceccatto H. A.
Hallberg Karen
Torio M. E.
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