Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
2001-04-04
Phys. Let. A 260, 99-107 (1999)
Physics
Condensed Matter
Strongly Correlated Electrons
9 pages, 4 ps figures included
Scientific paper
10.1016/S0375-9601(99)00489-2
An analytical approach, based on the unitary transformation method, has been developed to study the effect of quantum lattice fluctuations on the ground state of a model electron-phonon system. To study nonadiabatic case, the Green's function method is used to implement the perturbation treatment. The phase diagram and the density of states of fermions are obtained. We show that when electron-phonon coupling constant $\alpha^{2}/K$ decreases or phonon frequency $\omega_{\pi}$ increases the lattice dimerization and the gap in the fermion spectrum decrease gradually. At some critical value the system becomes gapless and the lattice dimerization disappears. The inverse-square-root singularity of the density of states at the gap edge in the adiabatic case disappears because of the nonadiabatic effect, which is consistent with the measurement of optical conductivity in quasi-one-dimensional systems.
Wang Qin
Zheng Hang
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