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Topological phases of a Kitaev tie

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Abstract

We investigate the topological properties of a Kitaev chain in the shape of a legged-ring, which is here referred to as Kitaev tie. We demonstrate that the Kitaev tie is a frustrated system in which topological properties are determined by the position of the movable bond (the tie knot). We determine the phase diagram of the system as a function of the knot position and chemical potential, also discussing the effects of topological frustration. The stability of the topological Kitaev tie is addressed by a careful analysis of the system free energy.

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Authors and Affiliations

  1. Dipartimento di Fisica “E. R. Caianiello”, Università degli Studi di Salerno, Via Giovanni Paolo II, 84084, Fisciano (SA), Italy

    Alfonso Maiellaro, Francesco Romeo & Roberta Citro

  2. Spin-CNR, Università di Salerno, 84084, Fisciano (SA), Italy

    Roberta Citro

  3. INFN, Gruppo collegato di Salerno, 84084, Fisciano (SA), Italy

    Roberta Citro

Authors
  1. Alfonso Maiellaro
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  2. Francesco Romeo
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  3. Roberta Citro
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Correspondence to Alfonso Maiellaro.

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Maiellaro, A., Romeo, F. & Citro, R. Topological phases of a Kitaev tie. Eur. Phys. J. Spec. Top. 229, 637–646 (2020). https://doi.org/10.1140/epjst/e2019-900180-x

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  • DOI: https://doi.org/10.1140/epjst/e2019-900180-x

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