Probing the $\nu =2/3$ fractional quantum Hall edge by momentum-resolved tunneling

Abstract

The nature of the fractional quantum Hall state with filling factor $\nu =2/3$ and its edge modes continues to remain an open problem in low-dimensional condensed matter physics. Here, we suggest an experimental setting to probe the $\nu =2/3$ edge by tunnel-coupling it to a $\nu =1$ integer quantum Hall edge in another layer of a two-dimensional electron gas (2DEG). In this double-layer geometry, the momentum of tunneling electrons may be boosted by an auxiliary magnetic field parallel to the two planes of 2DEGs. We evaluate the current as a function of bias voltage and the boosting magnetic field. Its threshold behavior yields information about the spectral function of the $\nu =2/3$ edge, in particular about the nature of the chiral edge modes. Our theory accounts also for the effects of Coulomb interaction and disorder.

5 pages, 5 figures, and supplementary material (5 pages, 1 figure)

References in corpus (4)

• Spin-charge separation and localization in one-dimension
• Observation of neutral modes in the fractional quantum Hall regime
• Edge reconstruction in the $\nu =2/3$ fractional quantum Hall state
• Charge tunneling in fractional edge channels

Cited by in corpus (4)

• Charge equilibration in integer and fractional quantum Hall edge channels in a generalized Hall-bar device
• Topological dephasing in the $\nu =2/3$ fractional Quantum Hall Regime
• Thermal transport driven by charge imbalance in graphene in magnetic field, close to the charge neutrality point at low temperature: Non local resistance
• Tunneling density of states in Luttinger Liquid in proximity to a superconductor: Effect of non-local interaction