Charge-density waves with electron-electron interactions

Charge-density waves (CDW) in one-dimensional conductors are studied by treating the electron-phonon interaction in the adiabatic limit, while weak-coupling electron-electron interactions are solved by renormalization-group methods. An exponent $\delta$ defines a renormalization of the effective electronic energy and gap. For a half-filled band system with a backward scattering $g_1>0\mathrm{}$ ($g_1<0\mathrm{}$), a bond- (site-) centered CDW is enhanced. We also consider effects of disorder, such as in polyacetylene, and estimate $\delta$ by the phonon-gap relation.