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Anderson Localization for 2D Discrete Schrödinger Operators with Random Magnetic Fields

✍ Scribed by Frédéric Klopp; Shu Nakamura; Fumihiko Nakano; Yuji Nomura

Publisher
Springer
Year
2003
Tongue
English
Weight
186 KB
Volume
4
Category
Article
ISSN
1424-0637

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Microlocalization, Percolation, and Ande
Microlocalization, Percolation, and Anderson Localization for the Magnetic Schrödinger Operator with a Random Potential
✍ Wei-Min Wang 📂 Article 📅 1997 🏛 Elsevier Science 🌐 English ⚖ 480 KB

We study the spectral properties of the magnetic Schro dinger operator with a random potential. Using results from microlocal analysis and percolation, we show that away from the Landau levels, the spectrum is almost surely pure point with (at least) exponentially decaying eigenfunctions. Moreover,