Solitonic approach to the dimerization problem in correlated one-dimensional systems

Details Solitonic approach to the dimerization problem in correlated one-dimensional systems Solitonic approach to the dimerization problem in correlated one-dimensional systems

1997-08-29

arxiv.org/abs/cond-mat/9708234v1

Phys. Rev. B 56, 8467 (1997)

Physics

Condensed Matter

Strongly Correlated Electrons

4 pages, 4 figures, Physical Review B, Rapid Communications, v. 56 (1997) accepted

Scientific paper

10.1103/PhysRevB.56.R8467

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.

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