Influence of device geometry on tunneling in ν=5/2 quantum Hall liquid

Abstract

Two recent experiments [I. P. Radu et al., Science 320, 899 (2008) and X. Lin et al., Phys. Rev. B 85, 165321 (2012)] measured the temperature and voltage dependence of the quasiparticle tunneling through a quantum point contact in the ν= 5/2 quantum Hall liquid. The results led to conflicting conclusions about the nature of the quantum Hall state. In this paper, we show that the conflict can be resolved by recognizing different geometries of the devices in the experiments. We argue that in some of those geometries there is significant unscreened electrostatic interaction between the segments of the quantum Hall edge on the opposite sides of the point contact. Coulomb interaction affects the tunneling current. We compare experimental results with theoretical predictions for the Pfaffian, SU(2)_2, 331 and K=8 states and their particle-hole conjugates. After Coulomb corrections are taken into account, measurements in all geometries agree with the spin-polarized and spin-unpolarized Halperin 331 states.

Final version as accepted by PRB

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Cited by in corpus (32)

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• Fractional charge and fractional statistics in the quantum Hall effects
• Theory of Disorder-Induced Half-Integer Thermal Hall Conductance
• Experimental probe of topological orders and edge excitations in the second Landau level
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• Thermal equilibration on the edges of topological liquids
• Impact of Heterostructure Design on Transport Properties in the Second Landau Level of in-situ Back-Gated Two-Dimensional Electron Gases
• Anyon statistics through conductance measurements of time-domain interferometry
• Probing the $\nu =\frac{5}{2}$ quantum Hall state with electronic Mach-Zehnder interferometry
• Fluctuation theorems without time-reversal symmetry
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Thermal interferometry of anyons
• Identifying non-Abelian anyons with upstream noise
• Identification of topological order in the fractional quantum Hall state at $\nu =1/4$
• Different fractional charges from auto- and cross-correlation noise in quantum Hall states without upstream modes
• Role of scaling dimensions in generalized noises in fractional quantum Hall tunneling due to a temperature bias
• Quantized heat flow in graphene quantum Hall phases: Probing the topological order
• Edge mode velocities in the quantum Hall effect from a dc measurement
• Extracting the scaling dimension of quantum Hall quasiparticles from current correlations