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HofstadterTools: A Python package for analyzing the Hofstadter model

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arxiv 2311.18726 v2 pith:REOR7CHT submitted 2023-11-30 cond-mat.mes-hall cond-mat.str-elmath-phmath.MP

HofstadterTools: A Python package for analyzing the Hofstadter model

classification cond-mat.mes-hall cond-mat.str-elmath-phmath.MP
keywords hofstadtermodelpackagehofstadtertoolslatticepythonquantumaccording
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The Hofstadter model successfully describes the behavior of non-interacting quantum particles hopping on a lattice coupled to a gauge field, and hence is ubiquitous in many fields of research, including condensed matter, optical, and atomic physics. Motivated by this, we introduce HofstadterTools (https://hofstadter.tools), a Python package that can be used to analyze the energy spectrum of a generalized Hofstadter model, with any combination of hoppings on any regular Euclidean lattice. The package can be applied to compute key properties of the band structure, such as quantum geometry and topology, as well as plot Hofstadter butterflies and Wannier diagrams that are colored according to their Chern numbers.

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