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We develop a powerful numerical algorithm for calculating the density ofstates rho(omega) of the fluctuating gap model, which describes the low-energyphysics of disordered Peierls and spin-Peierls chains. We obtain rho(omega)with unprecedented accuracy from the solution of a simple initial value problemfor a single Riccati equation. Generating Gaussian disorder with largecorrelation length xi by means of a simple Markov process, we present aquantitative study of the behavior of rho (omega) in the pseudogap regime. Inparticular, we show that in the commensurate case and in the absence of forwardscattering the pseudogap is overshadowed by a Dyson singularity below a certainenergy scale omega^{ast}, which we explicitly calculate as a function of xi.Comment: 4 revtex pages, 3 figure

Exact numerical calculation of the density of states of the fluctuating gap model