  We report the amplitude scaling behavior of Frenkel exciton chains with
nearest-neighbor correlated off-diagonal random interactions. The band center
spectrum and its localization properties are investigated through the
integrated density of states and the inverse localization length. The
correlated random interactions are produced through a binary sequence similar
to the interactions in spin glass chains. We produced sets of data with
different interaction strength and "wrong" sign concentrations that collapsed
after scaling to the predictions of a theory developed earlier for Dirac
fermions with random-varying mass. We found good agreement as the energy
approaches the band center for a wide range of concentrations. We have also
established the concentration dependence of the lowest order expansion
coefficient of the scaling amplitudes for the correlated case. The correlation
causes unusual behavior of the spectra, i.e., deviations from the Dyson-type
singularity.
