Fingerprints of anti-Pfaffian topological order in quantum point contact transport

Abstract

Despite recent experimental developments, the topological order of the fractional quantum Hall state at filling $\nu =5/2$ remains an outstanding question. We study conductance and shot noise in a quantum point contact device in the charge-equilibrated regime and show that, among Pfaffian, particle-hole Praffian, and anti-Pfaffian (aPf) candidate states, the hole-conjugate aPf state is unique in that it can produce a conductance plateau at $G=(7/3)e^2/h$ by two fundamentally distinct mechanisms. We demonstrate that these mechanisms can be distinguished by shot noise measurements on the plateaus. We also determine distinct features of the conductance of the aPf state in the coherent regime. Our results can be used to experimentally single out the aPf order.

7 pages main text (4 figures), 12 pages supplementary (4 figures)

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Cited by in corpus (8)

• Shot noise as a diagnostic in the $\nu =2/3$ fractional quantum Hall edge zoo
• Multiple Mechanisms for Emerging Conductance Plateaus in Fractional Quantum Hall States
• Role of scaling dimensions in generalized noises in fractional quantum Hall tunneling due to a temperature bias
• Landscapes of an out-of-equilibrium anyonic sea
• Experimentally Motivated Order of Length Scales Affect Shot Noise
• Universal charge conductance at Abelian--non-Abelian quantum Hall interfaces
• Shot noise signatures of candidate states for the fractional quantum Hall $\nu =12/5$ state
• Elevated Hall Responses as Indicators of Edge Reconstruction