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1990•Physical Review LettersOpen access

Selective population and detection of edge channels in the fractional quantum Hall regime

Leo P. Kouwenhoven, B. J. van Wees, N. C. van der Vaart, C. J. P. M. Harmans, C.E. Timmering, C. T. B. Foxon

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Abstract

Transport in the fractional-quantum-Hall-effect (FQHE) regime is studied in a two-dimensional electron gas (2DEG) employing adjustable barriers as current and voltage probes. We find a fractionally quantized Hall conductance for integer filling factor in the bulk of 2DEG, as a consequence of the fractional filling factor in the probes. We argue that this effect is the first manifestation of adiabatic transport in the FQHE. The results are in agreement with a proposed Landauer-B\"uttiker formula in which each fractional edge channel contributes a conductance (1/3${e}^{2}$/h.

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Transport in the fractional-quantum-Hall-effect (FQHE) regime is studied in a two-dimensional electron gas (2DEG) employing adjustable barriers as current and voltage probes. We find a fractionally quantized Hall conductance for integer filling factor in the bulk of 2DEG, as a consequence of the fractional filling factor in the probes. We argue that this effect is the first manifestation of adiabatic transport in the FQHE. The results are in agreement with a proposed Landauer-B\"uttiker formula in which each fractional edge channel contributes a conductance (1/3${e}^{2}$/h.

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Available abstract

Transport in the fractional-quantum-Hall-effect (FQHE) regime is studied in a two-dimensional electron gas (2DEG) employing adjustable barriers as current and voltage probes. We find a fractionally quantized Hall conductance for integer filling factor in the bulk of 2DEG, as a consequence of the fractional filling factor in the probes. We argue that this effect is the first manifestation of adiabatic transport in the FQHE. The results are in agreement with a proposed Landauer-B\"uttiker formula in which each fractional edge channel contributes a conductance (1/3${e}^{2}$/h.

Key concepts: Fractional quantum Hall effect, Filling factor, Quantum Hall effect, Conductance, Physics, Adiabatic process, Fermi gas, Condensed matter physics

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