Articles with "hofstadter butterfly" as a keyword



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Realization of Hofstadter's butterfly and a one-way edge mode in a polaritonic system

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Published in 2018 at "Physical Review B"

DOI: 10.1103/physrevb.98.075412

Abstract: We present a scheme to generate an artificial gauge field for the system of neutral bosons, represented by polaritons in micropillars arranged into a square lattice. The splitting between the two polarizations of the micropillars… read more here.

Keywords: mode; system; hofstadter butterfly; edge ... See more keywords
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Fractional Disclination Charge and Discrete Shift in the Hofstadter Butterfly.

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Published in 2022 at "Physical review letters"

DOI: 10.1103/physrevlett.129.275301

Abstract: In the presence of crystalline symmetries, topological phases of matter acquire a host of invariants leading to nontrivial quantized responses. Here we study a particular invariant, the discrete shift 𝒮, for the square lattice Hofstadter… read more here.

Keywords: disclination; discrete shift; charge; hofstadter ... See more keywords
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Generation of Hofstadter's butterfly spectrum using circular arrays of microring resonators.

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Published in 2020 at "Optics letters"

DOI: 10.1364/ol.384552

Abstract: Hofstadter's butterfly spectrum, which characterizes the energy bands of electrons in a 2D lattice under a perpendicular magnetic field, has been emulated and experimentally characterized in periodic bandgap structures at microwave and acoustic frequencies. However,… read more here.

Keywords: optics; hofstadter butterfly; butterfly spectrum;