https://doi.org/10.1140/epjst/e2019-900180-x
Regular Article
Topological phases of a Kitaev tie
1
Dipartimento di Fisica “E. R. Caianiello”, Università degli Studi di Salerno,
Via Giovanni Paolo II,
84084
Fisciano (SA), Italy
2
Spin-CNR, Università di Salerno,
84084
Fisciano (SA), Italy
3
INFN, Gruppo collegato di Salerno,
84084
Fisciano (SA), Italy
a e-mail: amaiellaro@unisa.it
Received:
26
August
2019
Received in final form:
4
November
2019
Published online: 14 February 2020
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.
© EDP Sciences, Springer-Verlag GmbH Germany, part of Springer Nature, 2020