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.

arXiv comment7 pages main text (4 figures), 12 pages supplementary (4 figures)

References in corpus (53)

• Non-Abelian Anyons and Topological Quantum Computation
• Particle-hole symmetry and the Pfaffian state
• Particle-Hole Symmetry and the $\nu =5/2$ Quantum Hall State
• Observation of half-integer thermal Hall conductance
• Is the Composite Fermion a Dirac Particle?
• Robust fractional quantum Hall states and continuous quantum phase transitions in a half-filled bilayer graphene Landau level
• Observation of neutral modes in the fractional quantum Hall regime
• Thermal transport in a Luttinger liquid
• Even denominator fractional quantum Hall state in bilayer graphene
• Particle-hole symmetry without particle-hole symmetry in the quantum Hall effect at ν = 5/2
• Even denominator fractional quantum Hall states in higher Landau levels of graphene
• Fractional quantum Hall effect at $\nu =5/2$: Ground states, non-Abelian quasiholes, and edge modes in a microscopic model
• Landau-level-mixing and the ground state of the 5/2 quantum Hall effect
• Parton construction of a wave function in the anti-Pfaffian phase
• Isolated Ballistic Non-Abelian Interface Channel
• Odd- and even-denominator fractional quantum Hall states in monolayer WSe${}_2$
• Novel method distinguishing between competing topological orders
• Transport in a disordered $\nu =2/3$ fractional quantum Hall junction
• Evolution of Landau Levels into Edge States at an Atomically Sharp Edge in Graphene
• Valley Isospin Controlled Fractional Quantum Hall States in Bilayer Graphene
• Melting of interference in the fractional quantum Hall effect: Appearance of neutral modes
• Incoherent transport on the $\nu =2/3$ quantum Hall edge
• Vanishing thermal equilibration for hole-conjugate fractional quantum Hall states in graphene
• Partial equilibration of integer and fractional edge channels in the thermal quantum Hall effect
• Versatile tuning of Kerr soliton microcombs in crystalline microresonators
• Topological classification of shot noise on fractional quantum Hall edges
• Synthesizing a Fractional v=2/3 State from Particle and Hole States
• Non-Abelian states with negative flux: a new series of quantum Hall states
• Numerical exploration of trial wave functions for the particle-hole-symmetric Pfaffian
• Noise on the Non-Abelian $\nu =5/2$ Fractional Quantum Hall Edge
• Observation of ballistic upstream modes at fractional quantum Hall edges of graphene
• Absent thermal equilibration on fractional quantum Hall edges over macroscopic scale
• Partial Equilibration of the Anti-Pfaffian edge due to Majorana Disorder
• Noise on complex quantum Hall edges: Chiral anomaly and heat diffusion
• Determination of topological edge quantum numbers of fractional quantum Hall phases
• Partial equilibration of anti-Pfaffian edge modes at $\nu =5/2$
• Heat equilibration of integer and fractional quantum Hall edge modes in graphene
• Counter-propagating charge transport in the quantum Hall effect regime
• Conductance plateaus and shot noise in fractional quantum Hall point contacts
• Paired states at 5/2: PH Pfaffian and particle-hole symmetry breaking
• Contacts, equilibration, and interactions in fractional quantum Hall edge transport
• Large-scale simulations of particle-hole-symmetric Pfaffian trial wavefunctions
• Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
• Does shot noise always provide the quasiparticle charge?
• Thermal equilibration on the edges of topological liquids
• Energetics of the PH-Pfaffian state and the 5/2-fractional quantum Hall effect
• Thermal conductance and noise of Majorana modes along interfaced $\nu =5/2$ fractional quantum Hall states
• Half-integer conductance plateau at the $\nu =2/3$ fractional quantum Hall state in a quantum point contact
• Coherent-Incoherent Crossover of Charge and Neutral Mode Transport as Evidence for the Disorder-Dominated Fractional Edge Phase
• Distinguishing particle-hole conjugated Fractional Quantum Hall states using quantum dot mediated edge transport
• Identifying non-Abelian anyons with upstream noise
• Anomalous quantized plateaus in two-dimensional electron gas with gate confinement
• Valley-tunable, even-denominator fractional quantum Hall state in the lowest Landau level of an anisotropic system

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