Non-Equilibrated Counter Propagating Edge Modes in the Fractional Quantum Hall Regime

Abstract

It is well established that 'density reconstruction' at the edge of a two dimensional electron gas takes place for 'hole-conjugate' states in the fractional quantum Hall effect (such as $\nu =2/3,3/5,$ etc.). Such reconstruction leads, after equilibration between counter propagating edge channels, to a downstream chiral current edge mode accompanied by upstream chiral neutral modes (carrying energy without net charge). Short equilibration length prevented thus far observation of the counter propagating current channels - the hallmark of density reconstruction. Here, we provide evidence for such non-equilibrated counter-propagating current channels, in short regions $(l=4\mu m$ and $l=0.4\mu m)$ of fractional filling $\nu =2/3$, and, unexpectedly, $\nu =1/3$, sandwiched between two regions of integer filling $\nu =1$. Rather than a two-terminal fractional conductance, the conductance exhibited a significant ascension towards unity quantum conductance $(G_Q=e^2/h)$ at or near the fractional plateaus. We attribute this conductance rise to the presence of a non-equilibrated downstream $\nu =1$ channel in the fractional short regions.

arXiv comment9 pages, 4 figures, supplemental material

References in corpus (17)

• Sharp and Smooth Boundaries of Quantum Hall Liquids
• Randomness at the Edge: Theory of Quantum Hall transport at filling $\nu =2/3$
• Observation of neutral modes in the fractional quantum Hall regime
• Impurity scattering and transport of fractional Quantum Hall edge state
• Local Thermometry of Neutral Modes on the Quantum Hall Edge
• Reconstruction of Fractional Quantum Hall Edges
• Edge reconstruction in the fractional quantum Hall regime
• Edge reconstruction in the $\nu =2/3$ fractional quantum Hall state
• Proliferation of neutral modes in fractional quantum Hall states
• Field Theoretical Description of Quantum Hall Edge Reconstruction
• The Structure of Fractional Edge States: A Composite Fermion Approach
• Composite Edge States in the $\nu =2/3$ Fractional Quantum Hall Regime
• Characterizing Neutral Modes of Fractional States in the Second Landau Level
• Extracting net current from an upstream neutral mode in the fractional quantum Hall regime
• Formation of an Edge Striped Phase in Fractional Quantum Hall Systems
• Proposed Measurement of an Effective Flux Quantum in the Fractional Quantum Hall Effect
• Edge reconstructions in fractional quantum Hall systems

Cited by in corpus (25)

• Transport in a disordered $\nu =2/3$ fractional quantum Hall junction
• Spontaneous breakdown of topological protection in two dimensions
• Topological classification of shot noise on fractional quantum Hall edges
• Synthesizing a Fractional v=2/3 State from Particle and Hole States
• Anyons in Quantum Hall Interferometry
• Noise on complex quantum Hall edges: Chiral anomaly and heat diffusion
• High quality electrostatically defined hall bars in monolayer graphene
• Counter-propagating charge transport in the quantum Hall effect regime
• Phenomenological theory of heat transport in the fractional quantum Hall effect
• Andreev reflection of fractional quantum Hall quasiparticles
• Contacts, equilibration, and interactions in fractional quantum Hall edge transport
• Robust integer and fractional helical modes in the quantum Hall effect
• Charge equilibration in integer and fractional quantum Hall edge channels in a generalized Hall-bar device
• Quantized charge fractionalization at quantum Hall Y junctions in the disorder-dominated regime
• Spin Mode-Switching at the Edge of a Quantum Hall System
• Second Landau Level Fractional Quantum Hall Effects in the Corbino Geometry
• Current correlations of Cooper-pair tunneling into a quantum Hall system
• Coherent-Incoherent Crossover of Charge and Neutral Mode Transport as Evidence for the Disorder-Dominated Fractional Edge Phase
• Magnetic field dependent equilibration of fractional quantum Hall edge modes
• Time-resolved investigation of plasmon mode along interface channels in integer and fractional quantum Hall regimes
• Localization and conductance in fractional quantum Hall edges
• Plasmon modes of coupled quantum Hall edge channels in the presence of disorder-induced tunneling
• Spin-Selective Equilibration among Integer Quantum Hall Edge Channels
• Observation of Electronic Modes in Open Cavity Resonator
• Drag conductance induced by neutral-mode localization in fractional quantum Hall junctions