Physics – Condensed Matter – Strongly Correlated Electrons
Scientific paper
1999-08-04
Phys. Rev. B 60, 15488 (1999).
Physics
Condensed Matter
Strongly Correlated Electrons
4 revtex pages, 3 figures
Scientific paper
10.1103/PhysRevB.60.15488
We develop a powerful numerical algorithm for calculating the density of states rho(omega) of the fluctuating gap model, which describes the low-energy physics of disordered Peierls and spin-Peierls chains. We obtain rho(omega) with unprecedented accuracy from the solution of a simple initial value problem for a single Riccati equation. Generating Gaussian disorder with large correlation length xi by means of a simple Markov process, we present a quantitative study of the behavior of rho (omega) in the pseudogap regime. In particular, we show that in the commensurate case and in the absence of forward scattering the pseudogap is overshadowed by a Dyson singularity below a certain energy scale omega^{ast}, which we explicitly calculate as a function of xi.
Bartosch Lorenz
Kopietz Peter
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