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Magnetic crystals and helical liquids in alkaline-earth fermionic gases

Author

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  • Simone Barbarino

    (NEST, Scuola Normale Superiore & Istituto Nanoscienze-CNR)

  • Luca Taddia

    (Scuola Normale Superiore
    CNR—Istituto Nazionale di Ottica, UOS di Firenze LENS)

  • Davide Rossini

    (NEST, Scuola Normale Superiore & Istituto Nanoscienze-CNR)

  • Leonardo Mazza

    (NEST, Scuola Normale Superiore & Istituto Nanoscienze-CNR)

  • Rosario Fazio

    (NEST, Scuola Normale Superiore & Istituto Nanoscienze-CNR)

Abstract

The joint action of a magnetic field and of interactions is crucial for the appearance of exotic quantum phenomena, such as the quantum Hall effect. Owing to their rich nuclear structure, equivalent to an additional synthetic dimension, one-dimensional alkaline-earth(-like) fermionic gases with synthetic gauge potential and atomic contact repulsion may display similar related properties. Here we show the existence and the features of a hierarchy of fractional insulating and conducting states by means of analytical and numerical methods. We demonstrate that the gapped states are characterized by density and magnetic order emerging solely for gases with effective nuclear spin larger than 1/2, whereas the gapless phases can support helical modes. We finally argue that these states are related to an unconventional fractional quantum Hall effect in the thin-torus limit and that their properties can be studied in state-of-the-art laboratories.

Suggested Citation

  • Simone Barbarino & Luca Taddia & Davide Rossini & Leonardo Mazza & Rosario Fazio, 2015. "Magnetic crystals and helical liquids in alkaline-earth fermionic gases," Nature Communications, Nature, vol. 6(1), pages 1-9, November.
    • Handle: RePEc:nat:natcom:v:6:y:2015:i:1:d:10.1038_ncomms9134
    DOI: 10.1038/ncomms9134
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