Effect of impurity on a Peierls transition

Abstract
Impurity has two kinds of effects on the phase transition involving the formation of a charged density wave in a conductor. One is to break the coherent electron-hole pair and thus lower the transition temperature. The other is to create sufficient fluctuation to smear the transition, even in three-dimensional systems. It is shown here that in a system with less than four dimensions, a random distribution of impurities destroys the longrange order of the charge-density-wave state.