Green’s functions on a renormalized lattice: An improved method for the integer quantum Hall transition

URN to cite this document:: urn:nbn:de:bvb:355-epub-458542
DOI to cite this document:: 10.5283/epub.45854

Puschmann, Martin

; Vojta, Thomas

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Date of publication of this fulltext: 26 May 2021 12:27

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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 ...