2021
DOI: 10.48550/arxiv.2102.00271
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Green's functions on a renormalized lattice: An improved method for the integer quantum Hall transition

Martin Puschmann,
Thomas Vojta

Abstract: We introduce a performance-optimized method to simulate localization problems on bipartite tight-binding lattices. It combines an exact renormalization group step to reduce the sparseness of the original problem with the recursive Green's function method. We apply this framework to investigate the critical behavior of the integer quantum Hall transition of a tight-binding Hamiltonian defined on a simple square lattice. In addition, we employ an improved scaling analysis that includes two irrelevant exponents t… Show more

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