What is it about?
A particle in quantum mechanics can escape thermalization in the presence of a random potential, a phenomenon known as Anderson localization. The properties of the Anderson localization transition depend on the dimensionality d of space; In this work, we consider Anderson localization on random regular graphs, a class of graphs that corresponds to infinite dimension. We propose a renormalization group method allowing usrecover the known results and make new predictions.
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Why is it important?
Our approach has the advantage of being suited for any geometry of the Anderson model, and for interacting quantum systems as well.
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This page is a summary of: Renormalization group analysis of the Anderson model on random regular graphs, Proceedings of the National Academy of Sciences, July 2024, Proceedings of the National Academy of Sciences,
DOI: 10.1073/pnas.2401955121.
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