Experimental constraints and a possible quantum Hall state at $\nu =5/2$

Abstract

Several topological orders have been proposed to explain the quantum Hall plateau at $\nu =5/2$. The observation of an upstream neutral mode on the sample edge [Bid et al., Nature (London) 466, 585 (2010)] supports the non-Abelian anti-Pfaffian state. On the other hand, the tunneling experiments [Radu et al., Science 320, 899 (2008); Lin et al., Phys. Rev. B 85, 165321 (2012); Baer et al., arXiv:1405.0428] favor the Halperin 331 state which exhibits no upstream modes. We find a topological order, compatible with the results of both types of experiments. That order allows both finite and zero spin polarizations. It is Abelian but its signatures in Aharonov-Bohm interferometry can be similar to those of the Pfaffian and anti-Pfaffian states.

5+1 pages

References in corpus (14)

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• The plasma picture of the fractional quantum Hall effect with internal SU(K) symmetries
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• Chirality, causality, and fluctuation-dissipation theorems in non-equilibrium steady states
• Identification of 331 quantum Hall states with Mach-Zehnder interferometry

Cited by in corpus (6)

• Recent Experimental Progress of Fractional Quantum Hall Effect: 5/2 Filling State and Graphene
• Competing ν= 5/2 fractional quantum Hall states in confined geometry
• The sixteenfold way and the quantum Hall effect at half-integer filling factors
• Probing the $\nu =\frac{5}{2}$ quantum Hall state with electronic Mach-Zehnder interferometry
• Thermoelectric properties of Coulomb-blockaded fractional quantum Hall islands
• Edge Induced Topological Phase Transition of the Quantum Hall state at Half Filling