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Killing the Hofstadter Butterfly

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Excursions in Ill-Condensed Quantum Matter

Part of the book series: Springer Theses ((Springer Theses))

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Abstract

In the last chapter we looked at fractals, where the spatial dimension is itself not an integer. We looked at the construction of a topological model on such a system and found that one finds a fractal spectrum where the eigenenergies are self similar. Here we construct a system which is otherwise translationally invariant, but has a fractal spectrum. We then investigate—what happens to this system if we remove bonds randomly?

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Authors and Affiliations

  1. International Centre for Theoretical Sciences, Tata Institute of Fundamental Research, Bangalore, India

    Dr. Adhip Agarwala

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  1. Dr. Adhip Agarwala
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Correspondence to Adhip Agarwala .

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Agarwala, A. (2019). Killing the Hofstadter Butterfly. In: Excursions in Ill-Condensed Quantum Matter. Springer Theses. Springer, Cham. https://doi.org/10.1007/978-3-030-21511-8_5

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