Optical phonons in a quarter-filled 1D Hubbard model

Details Optical phonons in a quarter-filled 1D Hubbard model Optical phonons in a quarter-filled 1D Hubbard model

2000-07-04

arxiv.org/abs/cond-mat/0007050v1

Phys. Rev. B 62, 10744 (2000)

Physics

Condensed Matter

Strongly Correlated Electrons

14 pages, 9 figures

Scientific paper

10.1103/PhysRevB.62.10744

The influence of dispersion-less quantum optical phonons on the phase diagram of a quarter-filled Hubbard chain is studied using the Density-matrix renormalization group technique. The ground state phase diagram is obtained for frequencies corresponding to the intra-molecular vibrations in organic conductors. For high vibrational modes the system is only slightly affected by the electron-phonons coupling. It remains in a L\"uttinger liquid phase as long as the electronic repulsion is larger than the polaronic binding energy. For low vibrational modes the phase diagram is very rich. A noticeable point is the existence of a $4k_F$ CDW phase for small values of the correlation strength. For realistic values of the electron repulsion and of the electron-phonons coupling constant a large phonons-mediated reduction of the L\"uttinger liquid parameter $K_\rho$ was found compared to the pure electronic model.

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