表面态密度的带边行为
The band-edge behavior of the density of surfacic states
摘要：
本文研究了离散表面Anderson模型的表面态密度在谱边附近的渐近性质。必须考虑两种类型的谱边缘：波动边缘和稳定边缘。每种类型都有自己的渐近类型。在波动的边缘的情况下，一个获得Lifshitz尾巴的参数，由初始运营商适当地“减少”的表面。对于稳定的边缘，表面态密度的行为类似于恒定（等于随机势的期望）表面势的表面态密度。在用来建立这一点的工具中，有恒定表面势的表面态密度的渐近性。
英文摘要：
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.
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