Anderson localization is a fundamental phenomenon in condensed matter physics, with strong connections with many-body localization and quantum chaos. A crucial theoretical problem is that its behavior on the Bethe lattice, an infinite loop-less tree, differs dramatically from realistic models in finite dimensions. To amend the theory, the authors study here tree-like lattices with one loop of arbitrary length. The outcome opens the way to the computation of the critical exponents and explains some puzzling finite-size effects observed in numerical simulations.
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Baroni et al. (2024) studied this question.
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