Self-consistent cluster theory for systems with off-diagonal disorder

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Abstract
A self-consistent cluster theory for elementary excitations in systems with diagonal, off-diagonal, and environmental disorder is presented. The theory is developed in augmented space where the configurational average over the disorder is replaced by a ground-state matrix element in a translationally invariant system. The analyticity of the resulting approximate Green's function is proved. Numerical results for the self-consistent single-site and pair approximations are presented for the vibrational and electronic properties of disordered linear chains with diagonal, off-diagonal, and environmental disorder. DOI: http://dx.doi.org/10.1103/PhysRevB.21.4230 © 1980 The American Physical Society