The band-edge behavior of the density of surfacic states

Abstract

This paper is devoted to the asymptotics of the density of surfacic states near the spectral edges for a discrete surfacic Anderson model. Two types of spectral edges have to be considered : fluctuating edges and stable edges. Each type has its own type of asymptotics. In the case of fluctuating edges, one obtains Lifshitz tails the parameters of which are given by the initial operator suitably "reduced" to the surface. For stable edges, the surface density of states behaves like the surface density of states of a constant (equal to the expectation of the random potential) surface potential. Among the tools used to establish this are the asymptotics of the surface density of states for constant surface potentials.

References in corpus (2)

• Regularity of the Density of Surface States
• The Density of States and the Spectral Shift Density of Random Schroedinger Operators

Cited by in corpus (4)

• The Integrated Density of States for Random Schroedinger Operators
• The density of surface states as the total time delay
• Anderson Localization and Lifshits Tails for Random Surface Potentials
• Existence, Uniqueness and Anisotropic-Decay-Caused Lifshitz Tails of the Integrated Density of Surface States for Random Surface Models