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Nature of states in a random-dimer model: Bandwidth-scaling analysis.

The scaling properties of the energy spectra of a random-dimer system are studied to discern the nature of the states at and around the dimer energy (e 0 ). The system is described by a tightbinding Hamiltonian. The scaling behavior of bandwidths for |e 0 |<2 shows that the system contains extended states in the neighborhood of e 0 . This result is further substantiated by the scaling behavior of the total bandwidth. The number of nonscattered states is found to increase with the increase in chain length. The scaling behavior of bandwidths also shows that the width of the nonscattered states depends on the dimer energy and its concentration in the sample