Download or read book Studies on Fractionalization and Topology in Strongly Correlated Systems from Zero to Two Dimensions written by Yichen Hu and published by . This book was released on 2019 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: For the second part, we present a model of interacting Majorana fermions that describes a superconducting phase with a topological order characterized by the Fibonacci topological field theory. Our theory is based on a SO(7)1 = SO(7)1/(G2)1 × (G2)1 coset construction and implemented by a solvable two-dimensional network model. In addition, we predict a closely related ''anti-Fibonacci'' phase, whose topological order is characterized by the tricritical Ising model. Finally, we propose an interferometer that generalizes the Z2 Majorana interferometer and directly probes the Fibonacci non-Abelian statistics.