Characterizing Neutral Modes of Fractional States in the Second Landau Level

Abstract

Quasiparticles, which obey non abelian statistics, were predicted to exist in different physical systems, but are yet to be observed directly. Possible candidate states, which are expected to support such quasiparticles, are the ν=8/3, ν=5/2 and ν=7/3 fractional quantum Hall states (in the second Landau level). The non abelian quasiparticles are expected to carry charge and a unique form of a chiral neutral edge mode. Recent measurements in the ν=5/2 state detected quasiparticle charge e/4 and an upstream (opposite to charge transport) chiral neutral mode; both agreeing with a non abelian anti-Pfaffian state; although not excluding the possibility of edge reconstruction as the source for the detected upstream neutral mode and a different type of state. Here we present results of detailed measurements of charge and neutral modes in the main three quantum Hall states of the second Landau level. For the ν=8/3 state we found a quasiparticle charge e/3 and an upstream neutral mode - excluding the possibility of a non abelian Read-Rezayi state and supporting a Laughlin-like state. Such exclusion holds for the hole-conjugate ν=7/3 state as well, in which no upstream neutral mode was detected. This also proves that edge reconstruction was not present in the ν=7/3 state, suggesting its absence also in ν=5/2 state and thus supporting further the non abelian anti Pfaffian state.

References in corpus (10)

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• Charge tunneling in fractional edge channels
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• Thirty Years of Composite Fermions and Beyond
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• A Stable Pfaffian State in Bilayer Graphene
• Experimental probe of topological orders and edge excitations in the second Landau level
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• Shot Noise in Mesoscopic Systems: from Single Particles to Quantum Liquids
• Partial equilibration of integer and fractional edge channels in the thermal quantum Hall effect
• Evidence for the Collective Nature of the Reentrant Integer Quantum Hall States of the Second Landau Level
• Coupled Airy breathers
• Role of exciton screening in the 7/3 fractional quantum Hall effect
• Extracting net current from an upstream neutral mode in the fractional quantum Hall regime
• Striped quantum Hall state in a half-filled Landau level
• Observation of ballistic upstream modes at fractional quantum Hall edges of graphene
• Absent thermal equilibration on fractional quantum Hall edges over macroscopic scale
• Quantitative Analysis of the Disorder Broadening and the Intrinsic Gap for the $\nu =5/2$ Fractional Quantum Hall State
• Competing Abelian and non-Abelian topological orders in $\nu =1/3+1/3$ quantum Hall bilayers
• Fractional Quantum Hall Effect at $\nu =2+6/13$: The Parton Paradigm for the Second Landau Level
• Fractional Quantum Hall Effect at $\nu =2+4/9$
• Thermoelectric probe for neutral edge modes in the fractional quantum Hall regime
• Heat equilibration of integer and fractional quantum Hall edge modes in graphene
• Suppression of interference in quantum Hall Mach-Zehnder geometry by upstream neutral modes
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• ${\mathbb{Z}}_n$ superconductivity of composite bosons and the $7/3$ fractional quantum Hall effect
• Non-Equilibrated Counter Propagating Edge Modes in the Fractional Quantum Hall Regime
• Transitions from Abelian composite fermion to non-Abelian parton fractional quantum Hall states in the zeroth Landau level of bilayer graphene
• The sixteenfold way and the quantum Hall effect at half-integer filling factors
• Contacts, equilibration, and interactions in fractional quantum Hall edge transport
• A non-Abelian fractional quantum Hall state at $3/7$ filled Landau level
• Edge Probes of Topological Order
• Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
• Unconventional ${\mathbb{Z}}_n$ parton states at $\nu =7/3$: The role of finite width
• Nonlinear dynamics of Airy-Vortex 3D wave packets: Emission of vortex light waves
• Theoretical investigation of edge reconstruction in the $\nu$=5/2 and 7/3 fractional quantum Hall states
• Abelian parton state for the $\nu =4/11$ fractional quantum Hall effect
• Anomalous Gap Reversal of the $3+1/3$ and $3+1/5$ Fractional Quantum Hall States
• Observation of an anomalous density-dependent energy gap of the $\nu =5/2$ fractional quantum Hall state in the low density regime
• Fractional quantum Hall effect at the filling factor $\nu =5/2$
• Fractional quantum Hall effect of partons and the nature of the 8/17 state in the zeroth Landau level of bilayer graphene
• Identifying the topological order of quantized half-filled Landau levels through their daughter states
• Fractional Quantum Hall States of the $\mathcal{A}$ phase in the Second Landau Level
• Different fractional charges from auto- and cross-correlation noise in quantum Hall states without upstream modes
• Statistics of energy dissipation in a quantum dot operating in the cotunneling regime
• Short and Long Ranged Impurities in Fractional Quantum Hall Systems
• Unexpected tunneling current from downstream neutral modes
• Common physical mechanism for integer and fractional quantum Hall effects
• Topological correlations and breaking of fermionic antisymmetry of electrons in FQHE
• Superconductivity of neutral modes in quantum Hall edges
• Exploring Quantum Hall Physics at Ultra-Low Temperatures and at High Pressures