Lifshitz tails for Schrödinger operators with random breather potential |
| |
Authors: | Christoph Schumacher Ivan Veseli? |
| |
Institution: | TU Dortmund, Fakultät für Mathematik, 44227 Dortmund, Germany |
| |
Abstract: | We prove a Lifshitz tail bound on the integrated density of states of random breather Schrödinger operators. The potential is composed of translated single-site potentials. The single-site potential is an indicator function of the set tA where t is from the unit interval and A is a measurable set contained in the unit cell. The challenges of this model are that, since A is not assumed to be star-shaped, the dependence of the potential on the parameter t is not monotone. It is also non-linear and not differentiable. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|