Identifying the $\hat{I}½=\frac{5}{2}$ topological order through charge transport measurements

Abstract

We propose an experiment to identify the topological order of the $\hat{I}½=\frac{5}{2}$ state through a measurement of the electric conductance of a mesoscopic device. Our setup is based on interfacing $\hat{I}½=2,\frac{5}{2}$ and $3$ in the same device. Its conductance can unambiguously establish or rule out the particle-hole symmetric Pfaffian topological order, which is supported by recent thermal measurements. Additionally, it distinguishes between the Moore-Read and Anti-Pfaffian topological orders, which are favored by numerical calculations.

4 pages, 3 figures, 1 table, RPL version