Abstract
We study the influence of the Coulomb interaction and impurity scattering on the dimerization of a one-dimensional system. An analytic expression for the dimerization parameter on dimensionless interaction parameter and phase shift induced by impurity scattering is obtained. For the impurity scattering free case, the weak Coulomb interaction is in favor of the dimerization, whereas the strong interaction suppresses the dimerization. When the impurity scattering is weak, the dimerization is suppressed in the weak-interaction region and it decreases slowly as the interaction is increased toward the strong-interaction region. Finally, a strong impurity scattering will completely destroy the dimerization.
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