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arXiv 1102.5059math-phmath.MP
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无序系统局域化的直接标度分析。I.单粒子模型

Direct Scaling Analysis of localization in disordered systems. I. Single-particle models

Victor Chulaevsky

摘要:

我们提出了一个简化版本的紧束缚安德森模型的多尺度分析与强混合随机电位,直接导致均匀的指数界衰减的本征函数在任意大的有限子集的晶格。当然,这些界限也意味着动力学本地化和指数衰减的本征函数在整个晶格。

英文摘要:

We propose a simplified version of the Multi-Scale Analysis of tight-binding Anderson models with strongly mixing random potentials which leads directly to uniform exponential bounds on decay of eigenfunctions in arbitrarily large finite subsets of a lattice. Naturally, these bounds imply also dynamical localization and exponential decay of eigenfunctions on the entire lattice.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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