Solitonic approach to the dimerization problem in correlated one-dimensional systems
Abstract
Using exact diagonalizations we consider self-consistently the lattice distortions in odd Peierls-Hubbard and spin-Peierls periodic rings in the adiabatic harmonic approximation. From the tails of the inherent spin soliton the dimerization d_\infty of regular even rings is found by extrapolations to infinite ring lengths. Considering a wide region of electron-electron onsite interaction values U>0 compared with the band width 4t_0 at intermediately strong electron-phonon interaction g, known relationships obtained by other methods are reproduced and/or refined within one unified approach: such as the maximum of d_\infty at U \simeq 3 t_0 for g \simeq 0.5 and its shift to zero for g \to g_c \approx 0.7. The hyperbolic tangent shape of the spin soliton is retained for any U and g <~ 0.6. In the spin-Peierls limit the d_\infty are found to be in agreement with results of DMRG computations.
Keywords
Cite
@article{arxiv.cond-mat/9708234,
title = {Solitonic approach to the dimerization problem in correlated one-dimensional systems},
author = {J. Málek and S. -L. Drechsler and G. Paasch and K. Hallberg},
journal= {arXiv preprint arXiv:cond-mat/9708234},
year = {2016}
}
Comments
4 pages, 4 figures, Physical Review B, Rapid Communications, v. 56 (1997) accepted