Abstract

By diagonalizing the one-dimensional Fröhlich model numerically, we investigate the incommensurate charge density wave states within a mean field approximation. It is found that the mid-gap band inside the main Peierls energy gap always appears in nearly commensurate states, which is attributed to the formation of the kink (or soliton) lattice of the electron- and ion-density modulations. The overall band structure against band filling is shown to be self-similar and recursive. Experimental relevance of our finding is discussed.

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