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arXiv · 2106.07667

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

Misha Yutushui·Ady Stern·David F. Mross
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Abstract

We propose an experiment to identify the topological order of the $ν=\frac{5}{2}$ state through a measurement of the electric conductance of a mesoscopic device. Our setup is based on interfacing $ν=2, \ \frac{5}{2}$ 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.

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Misha Yutushui, Ady Stern, David F. Mross. 2022-01-06. Identifying the $ν=\frac{5}{2}$ topological order through charge transport measurements. https://doi.org/10.1103/physrevlett.128.016401

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