Fibonacci Topological Superconductor
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 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 Majorana interferometer and directly probes the Fibonacci non-Abelian statistics.
Cite
@article{arxiv.1712.03238,
title = {Fibonacci Topological Superconductor},
author = {Yichen Hu and C. L. Kane},
journal= {arXiv preprint arXiv:1712.03238},
year = {2018}
}