Synthesizing a Fractional v=2/3 State from Particle and Hole States

Abstract

Topological edge-reconstruction occurs in hole-conjugate states of the fractional quantum Hall effect. The frequently studied polarized state of filling factor v=2/3 was originally proposed to harbor two counter-propagating edge modes: a downstream v=1 and an upstream v=1/3. However, charge equilibration between these two modes always led to an observed downstream v=2/3 charge mode accompanied by an upstream neutral mode (preventing an observation of the original proposal). Here, we present a new approach to synthetize the v=2/3 edge mode from its basic counter-propagating charged constituents, allowing a controlled equilibration between the two counter-propagating charge modes. This novel platform is based on a carefully designed double-quantum-well, which hosts two populated electronic sub-bands (lower and upper), with corresponding filling factors, vl & vu. By separating the 2D plane to two gated intersecting halves, each with different fillings, counter-propagating chiral modes can be formed along the intersection line. Equilibration between these modes can be controlled with the top gates' voltage and the magnetic field. Our measurements of the two-terminal conductance G2T and the presence of a neutral mode allowed following the transition from the non-equilibrated charged modes, manifested by G2T=(4/3)e2/h, to the fully equilibrated modes, with a downstream charge mode with G2T=(2/3)e2/h accompanied by an upstream neutral mode.

arXiv comment16 pages,4 figures

References in corpus (18)

• Quantized Thermal Transport in the Fractional Quantum Hall Effect
• 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
• Observed Quantization of Anyonic Heat Flow
• Local Thermometry of Neutral Modes on the Quantum Hall Edge
• Edge reconstruction in the $\nu =2/3$ fractional quantum Hall state
• Proliferation of neutral modes in fractional quantum Hall states
• A New Paradigm for Edge Reconstruction in Fractional Quantum Hall States
• Composite Edge States in the $\nu =2/3$ Fractional Quantum Hall Regime
• Transport in a disordered $\nu =2/3$ fractional quantum Hall junction
• Incoherent transport on the $\nu =2/3$ quantum Hall edge
• Extracting net current from an upstream neutral mode in the fractional quantum Hall regime
• Noise on complex quantum Hall edges: Chiral anomaly and heat diffusion
• Non-Equilibrated Counter Propagating Edge Modes in the Fractional Quantum Hall Regime
• Robust integer and fractional helical modes in the quantum Hall effect
• Transmission of heat modes across a potential barrier
• Upstream neutral modes in the fractional quantum Hall effect regime: heat waves or coherent dipoles

Cited by in corpus (42)

• Novel method distinguishing between competing topological orders
• Vanishing thermal equilibration for hole-conjugate fractional quantum Hall states in graphene
• Shot Noise in Mesoscopic Systems: from Single Particles to Quantum Liquids
• Topological classification of shot noise on fractional quantum Hall edges
• Anyons in Quantum Hall Interferometry
• Noise on the Non-Abelian $\nu =5/2$ Fractional Quantum Hall Edge
• Observation of ballistic upstream modes at fractional quantum Hall edges of graphene
• Noise on complex quantum Hall edges: Chiral anomaly and heat diffusion
• Determination of topological edge quantum numbers of fractional quantum Hall phases
• Fractional Edge Reconstruction in Integer Quantum Hall Phases
• Heat equilibration of integer and fractional quantum Hall edge modes in graphene
• Conductance plateaus and shot noise in fractional quantum Hall point contacts
• Andreev reflection of fractional quantum Hall quasiparticles
• Contacts, equilibration, and interactions in fractional quantum Hall edge transport
• Macroscopic Manifestation of Domain-wall Magnetism and Magnetoelectric Effect in a Néel-type Skyrmion Host
• Edge Probes of Topological Order
• Full Classification of Transport on an Equilibrated 5/2 Edge via Shot Noise
• Thermal conductance and noise of Majorana modes along interfaced $\nu =5/2$ fractional quantum Hall states
• Transport in helical Luttinger liquids in the fractional quantum Hall regime
• Aharonov-Bohm interference and the evolution of phase jumps in fractional quantum Hall Fabry-Perot interferometers based on bi-layer graphene
• Emergence of Neutral Modes in Laughlin-like Fractional Quantum Hall Phases
• Coherent-Incoherent Crossover of Charge and Neutral Mode Transport as Evidence for the Disorder-Dominated Fractional Edge Phase
• Fingerprints of anti-Pfaffian topological order in quantum point contact transport
• Multi-Channel Luttinger Liquids at the Edge of Quantum Hall Systems
• Symmetry-related transport on a fractional quantum Hall edge
• Microscopic Diagnosis of Universal Geometric Responses in Fractional Quantum Hall Liquids
• Anomalous Hydrodynamics in One Dimensional Electronic Fluid
• Anomalous quantized plateaus in two-dimensional electron gas with gate confinement
• Localization and conductance in fractional quantum Hall edges
• Transport Signatures of Fractional Quantum Hall Binding Transitions
• Spin-Selective Equilibration among Integer Quantum Hall Edge Channels
• Even-denominator fractional quantum Hall state in conventional triple-gated quantum point contact
• Edge Reconstruction and Emergent Neutral Modes in Integer and Fractional Quantum Hall Phases
• Plasmon localization and relaxation, and thermal transport in one-dimensional conductors
• Static and dynamical magnetic properties of the extended Kitaev-Heisenberg model with spin vacancies
• Drag conductance induced by neutral-mode localization in fractional quantum Hall junctions
• Ballistic-to-diffusive transition in engineered counter-propagating quantum Hall channels
• Dc Electrical Current Generated by Upstream Neutral Modes
• Overlap of parafermionic zero modes at a finite distance
• Manifestation of edge-bulk incompatibility in fractional quantum Hall platform
• Quantized Transport of $\nu =2/3$ Fractional Quantum Hall Edge with Disordered Superconducting Proximity
• Shot noise signatures of candidate states for the fractional quantum Hall $\nu =12/5$ state