Lipschitz-continuity of the integrated density of states for Gaussian random potentials
arXiv:1012.0393 · doi:10.1007/s11005-011-0465-1
Abstract
The integrated density of states of a Schroedinger operator with random potential given by a homogeneous Gaussian field whose covariance function is continuous, compactly supported and has positive mean, is locally uniformly Lipschitz-continuous. This is proven using a Wegner estimate.
References in corpus (1)
Cited by in corpus (9)
- Anderson localization for a class of models with a sign-indefinite single-site potential via fractional moment method
- Wegner estimates for sign-changing single site potentials
- Minami's estimate: beyond rank one perturbation and monotonicity
- Low lying eigenvalues of randomly curved quantum waveguides
- Low lying spectrum of weak-disorder quantum waveguides
- A Note on the Analyticity of Density of States
- Quantum Hamiltonians with weak random abstract perturbation. II. Localization in the expanded spectrum
- Wegner estimate for discrete Schrödinger operators with Gaussian random potentials
- Spectra of Random Operators with absolutely continuous Integrated Density of States