Charge equilibration in integer and fractional quantum Hall edge channels in a generalized Hall-bar device

Abstract

Charge equilibration between quantum-Hall edge states can be studied to reveal geometric structure of edge channels not only in the integer quantum Hall (IQH) regime but also in the fractional quantum Hall (FQH) regime particularly for hole-conjugate states. Here we report on a systematic study of charge equilibration in both IQH and FQH regimes by using a generalized Hall bar, in which a quantum Hall state is nested in another quantum Hall state with different Landau filling factors. This provides a feasible way to evaluate equilibration in various conditions even in the presence of scattering in the bulk region. The validity of the analysis is tested in the IQH regime by confirming consistency with previous works. In the FQH regime, we find that the equilibration length for counter-propagating $\delta \nu$ = 1 and $\delta \nu$ = -1/3 channels along a hole-conjugate state at Landau filling factor $\nu$ = 2/3 is much shorter than that for co-propagating $\delta \nu$ = 1 and $\delta \nu$ = 1/3 channels along a particle state at $\nu$ = 4/3. The difference can be associated to the distinct geometric structures of the edge channels. Our analysis with generalized Hall bar devices would be useful in studying edge equilibration and edge structures.

10 pages, 6 figures

References in corpus (6)

• Noise dephasing in the edge states of the Integer Quantum Hall regime
• Spin-Polarization of Composite Fermions and Particle-Hole Symmetry Breaking
• Non-Equilibrated Counter Propagating Edge Modes in the Fractional Quantum Hall Regime
• Composite fermion valley polarization energies: Evidence for particle-hole asymmetry
• Spectroscopic study on hot-electron transport in a quantum Hall edge channel
• Line junction in a quantum Hall system with two filling fractions

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