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.

arXiv comment7+8 (Supplemental) pages, 2+5 (Supplemental) figures, 1+0 tables

References in corpus (63)

• Anyons in an exactly solved model and beyond
• Beyond paired quantum Hall states: parafermions and incompressible states in the first excited Landau level
• Majorana quantization and half-integer thermal quantum Hall effect in a Kitaev spin liquid
• Proximate Kitaev Quantum Spin Liquid Behaviour in α-RuCl${}_3$
• 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
• Transition from quantum Hall to compressible states in the second Landau level: new light on the $\nu$=5/2 enigma
• Is the Composite Fermion a Dirac Particle?
• Incompressible paired Hall state, stripe order and the composite fermion liquid phase in half-filled Landau levels
• Electron correlation in the second Landau level; a competition between many, nearly degenerate quantum phases
• Robust fractional quantum Hall states and continuous quantum phase transitions in a half-filled bilayer graphene Landau level
• Nonconventional odd denominator fractional quantum Hall states in the second Landau level
• Even denominator fractional quantum Hall state in bilayer graphene
• Observation of even denominator fractional quantum Hall effect in suspended bilayer graphene
• Finite Layer Thickness Stabilizes the Pfaffian State for the 5/2 Fractional Quantum Hall Effect: Wavefunction Overlap and Topological Degeneracy
• Fractional Quantum Hall Hierarchy and the Second Landau Level
• Density Matrix Renormalization Group Study of Incompressible Fractional Quantum Hall States
• The Fractional Quantum Hall state at nu=5/2 and the Moore-Read Pfaffian
• Breaking of Particle-Hole Symmetry by Landau Level Mixing in the nu=5/2 Quantized Hall State
• Particle-hole symmetry without particle-hole symmetry in the quantum Hall effect at ν = 5/2
• Landau level mixing and the emergence of Pfaffian excitations for the 5/2 fractional quantum Hall effect
• Theory of Disorder-Induced Half-Integer Thermal Hall Conductance
• Isolated Ballistic Non-Abelian Interface Channel
• Topological Order from Disorder and the Quantized Hall Thermal Metal: Possible Applications to the $\nu =5/2$ State
• The Phase Diagram of the $\nu =5/2$ Fractional Quantum Hall Effect: Effects of Landau Level Mixing and Non-Zero Width
• Spin polarization of the $\nu =5/2$ quantum Hall state
• Novel method distinguishing between competing topological orders
• Characterizing Neutral Modes of Fractional States in the Second Landau Level
• Valley Isospin Controlled Fractional Quantum Hall States in Bilayer Graphene
• On the Interpretation of Thermal Conductance of the nu=5/2 Edge
• Theory of Disordered $\nu =5/2$ Quantum Thermal Hall State: Emergent Symmetry and Phase Diagram
• 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
• Topological classification of shot noise on fractional quantum Hall edges
• Synthesizing a Fractional v=2/3 State from Particle and Hole States
• Comment on S. H. Simon, Interpretation of thermal conductance of the $\nu =5/2$ edge, arXiv:1801.09687
• Numerical exploration of trial wave functions for the particle-hole-symmetric Pfaffian
• Striped quantum Hall state in a half-filled Landau level
• Influence of device geometry on tunneling in ν=5/2 quantum Hall liquid
• 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
• Quantum Hall States at $\nu =\frac{2}{k+2}$
• Graviton Chirality and Topological Order in the Half-filled Landau Level
• Determination of topological edge quantum numbers of fractional quantum Hall phases
• Partial equilibration of anti-Pfaffian edge modes at $\nu =5/2$
• Energetics of Pfaffian-AntiPfaffian Domains
• Phenomenological theory of heat transport in the fractional quantum Hall effect
• Conductance plateaus and shot noise in fractional quantum Hall point contacts
• Experimental constraints and a possible quantum Hall state at $\nu =5/2$
• Paired states at 5/2: PH Pfaffian and particle-hole symmetry breaking
• Charge-statistics separation and probing non-Abelian states
• Topological Interface between Pfaffian and anti-Pfaffian Order in $\nu =5/2$ Quantum Hall Effect
• Does shot noise always provide the quasiparticle charge?
• 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
• An Effective Field Theory for Fractional Quantum Hall Systems near $\nu =5/2$
• Equilibration of Quantum hall edges in symmetry broken bilayer graphene
• 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
• Equilibration of quantum hall edge states and its conductance fluctuations in graphene p-n junctions

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