Abstract

Recently proposed distribution functions for the asymmetry (Δ) and tunnel (λ) parameters are used to explore the density of states, ρ( E), for two-level systems (TLS). For intrinsic TLS it is shown that ρ( E) is a slowly increasing function of the tunnel splitting E (∝ E μ) with 0.2 ≲ μ ≲ 0.5 over a broad energy range as recently predicted. For the distribution parameters believed to be appropriate for the more slowly relaxing extrinsic TLS, TLS ext, μ ≈ 0 over a comparable energy range. In addition, the results demonstrate that a gap (at low E) in ρ( E) emerges in a natural way from the model. At much higher tunnel splittings, the DOS is shown to turn over yielding a negative slope with the turn over point related to a distribution function parameter for Δ. Comparison of the calculated results with experiment is provided.

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