Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise

Abstract

The nature of the bulk topological order of the 5/2 non-Abelian fractional quantum Hall state and the steady-state of its edge are long-studied questions. The most promising non-Abelian model bulk states are the Pfaffian (Pf), anti-Pffafian (APf), and particle-hole symmetric Pfaffian (PHPf). Here, we propose to employ a set of dc current-current correlations \emph{(electrical shot noise)} in order to distinguish among the Pf, APf, and PHPf candidate states, as well as to determine their edge thermal equilibration regimes: full vs.\ partial. Using other tools, measurements of GaAs platforms have already indicated consistency with the PHPf state. Our protocol, realizable with available experimental tools, is based on fully electrical measurements.

7+8 (Supplemental) pages, 2+5 (Supplemental) figures, 1+0 tables

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Cited by in corpus (18)

• Shot noise as a diagnostic in the $\nu =2/3$ fractional quantum Hall edge zoo
• Fingerprints of anti-Pfaffian topological order in quantum point contact transport
• Paired fermions in strong magnetic fields and daughters of even-denominator Hall plateaus
• Identifying the topological order of quantized half-filled Landau levels through their daughter states
• Multiple Mechanisms for Emerging Conductance Plateaus in Fractional Quantum Hall States
• Localization and conductance in fractional quantum Hall edges
• 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
• Experimentally Motivated Order of Length Scales Affect Shot Noise
• Half-integer thermal conductance in the absence of Majorana mode
• Landscapes of an out-of-equilibrium anyonic sea
• $\Delta T$-noise in Multiterminal Hybrid Systems
• Universal charge conductance at Abelian--non-Abelian quantum Hall interfaces
• Magnon transmission across $\nu =1|-1|1$ mono-layer graphene junction as a probe of electronic structure
• Current cross-correlation spectroscopy of Majorana bound states
• Collapse of edge reconstruction in compressible Quantum Hall fluid within filling fraction range 2/3 to 1
• Shot noise signatures of candidate states for the fractional quantum Hall $\nu =12/5$ state
• Elevated Hall Responses as Indicators of Edge Reconstruction