Topological phases of a Kitaev tie

Alfonso Maiellaro; Francesco Romeo; Roberta Citro

doi:10.1140/epjst/e2019-900180-x

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arXiv · 1908.09764

Topological phases of a Kitaev tie

Alfonso Maiellaro·Francesco Romeo·Roberta Citro

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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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Alfonso Maiellaro, Francesco Romeo, Roberta Citro. 2019-08-26. Topological phases of a Kitaev tie. https://doi.org/10.1140/epjst%2Fe2019-900180-x

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