Parafermion zero-modes, which are present in several one-dimensional topological phases, generalize widely studied Majorana fermions and present a promising route for topological quantum computation. In this paper, analytical and numerical methods are used to find the regimes in which exact parafermion zero-modes exist in a lattice model which is an extension of the Kitaev chain. The authors find that the stability conditions for the zero-modes in parafermion chains differs markedly from that of the Majorana case.
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Jermyn et al. (2014) studied this question.
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