Strongly Correlated Fractional Quantum Hall Line Junctions

Abstract

We have studied a clean finite-length line junction between interacting counterpropagating single-branch fractional-quantum-Hall edge channels. Exact solutions for low-lying excitations and transport properties are obtained when the two edges belong to quantum Hall systems with different filling factors and interact via the long-range Coulomb interaction. Charging effects due to the coupling to external edge-channel leads are fully taken into account. Conductances and power laws in the current-voltage characteristics of tunneling are strongly affected by inter-edge correlations.

4 pages, 1 figure, RevTex4, typos corrected + references added, to appear in Phys. Rev. Lett

References in corpus (4)

• Interedge Phase Coherence in Quantum Hall Line Junctions
• Mesoscopic effects in tunneling between parallel quantum wires
• Tunneling gap of laterally separated quantum Hall states
• Momentum-Resolved Tunneling into Fractional Quantum Hall Edges

Cited by in corpus (13)

• Fractional charge and fractional statistics in the quantum Hall effects
• Transport in a disordered $\nu =2/3$ fractional quantum Hall junction
• Inter-edge interactions and novel fixed points at a junction of quantum Hall line junctions
• Conductance oscillations in strongly correlated fractional quantum Hall line junctions
• Line junction in a quantum Hall system with two filling fractions
• Transport in line junctions of $\nu =5/2$ quantum Hall liquids
• Equilibration between edge states in the fractional quantum Hall effect regime at high imbalances
• Edge Magnetoplasmons in Quantum Hall Line Junction Systems
• Tunneling in Fractional Quantum Hall line junctions
• Calculation and spectroscopy of the Landau band structure at a thin and atomically precise tunneling barrier
• Comment on "Strongly correlated Fractional Quantum Hall line junction"
• AC conductivity of a quantum Hall line junction
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