We employ a supersymmetric functional-integral formalism based on the method of Bohr and Efetov to study the influence of both "site" and "bond" disorder on the nature of the ground state of the continuum model of polyaceteylene. We find exact results for the electronic density of states and the amplitude of the Peierls dimerization as functions of the strength of the disorder. As the disorder is increased, the dimerization amplitude decreases to zero continuously for bond disorder and discontinuously for site disorder.

• Received 28 April 1986

DOI:https://doi.org/10.1103/PhysRevLett.57.3113