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arXiv · 1712.03238

Fibonacci Topological Superconductor

Yichen Hu·C. L. Kane
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Abstract

We introduce a model of interacting Majorana fermions that describes a superconducting phase with a topological order characterized by the Fibonacci topological field theory. Our theory, which is based on a $SO(7)_1/(G_2)_1$ coset factorization, leads to a solvable one dimensional model that is extended to two dimensions using a network construction. In addition to providing a description of the Fibonacci phase without parafermions, our theory predicts a closely related "anti-Fibonacci" phase, whose topological order is characterized by the tricritical Ising model. We show that Majorana fermions can split into a pair of Fibonacci anyons, and propose an interferometer that generalizes the $Z_2$ Majorana interferometer and directly probes the Fibonacci non-Abelian statistics.

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Yichen Hu, C. L. Kane. 2017-12-08. Fibonacci Topological Superconductor. https://doi.org/10.1103/physrevlett.120.066801

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