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Title:
Quantum Transport in Quasicrystalline Environments
Speaker:
Abstract:
In this talk we discuss how quantum states evolve in simple mathematical models of quasicrystals. The central model is given by the Fibonacci chain, for which we discuss in detail the recent progress that has been obtained regarding rigorous results about the spectrum, the eigenstates and the transport properties. We will describe the known results and some of the mechanisms leading to them. Higher-dimensional models are discussed as well, especially those for which the study may be informed by the recent progress in one dimension.
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