Experimental probe of topological orders and edge excitations in the second Landau level

Abstract

We measure weak quasiparticle tunneling across a constriction in the second Landau level. At $\nu$ = 7/3, 8/3 and 5/2, comparison of temperature and DC bias dependence to weak tunneling theory allows extracting parameters that describe the edges' quasiparticle excitations. At $\nu$ = 8/3, our results are well described by a particle-hole conjugate Laughlin state, but not compatible with proposed non-Abelian quasiparticle excitations. For $\nu$ = 5/2, our measurements are in good agreement with previous experiments and favor the Abelian (3,3,1) or (1,1,3)-states. At these filling factors, we further investigate the influence of the backscattering strength on the extracted scaling parameters. For $\nu$ = 7/3, the backscattering strength strongly affects the scaling parameters, whereas quasiparticle tunneling at $\nu$ = 8/3 and 5/2 appears more robust. Our results provide important additional insight about the physics in the second Landau level and contribute to the understanding of the physics underlying the fractional quantum Hall states at $\nu$ = 7/3, 8/3 and 5/2.

12 pages, 3 pages Supplementary Information

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• The Phase Diagram of the $\nu =5/2$ Fractional Quantum Hall Effect: Effects of Landau Level Mixing and Non-Zero Width
• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Experimental constraints and a possible quantum Hall state at $\nu =5/2$
• Theoretical investigation of edge reconstruction in the $\nu$=5/2 and 7/3 fractional quantum Hall states
• Impact of Heterostructure Design on Transport Properties in the Second Landau Level of in-situ Back-Gated Two-Dimensional Electron Gases
• Scaling dimension of quantum Hall quasiparticles from tunneling current noise measurements
• Nonequilibrium transport in density-modulated phases of the second Landau level
• Probing the $\nu =\frac{5}{2}$ quantum Hall state with electronic Mach-Zehnder interferometry