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Coulomb Blockade in the Fractional Quantum Hall Effect Regime

Michael R. Geller·Daniel Loss
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Abstract

We use chiral Luttinger liquid theory to study transport through a quantum dot in the fractional quantum Hall effect regime and find rich non-Fermi-liquid tunneling characteristics. In particular, we predict a remarkable Coulomb-blockade-type energy gap that is quantized in units of the noninteracting level spacing, new power-law tunneling exponents for voltages beyond threshold, and a line shape as a function of gate voltage that is dramatically different than that for a Fermi liquid. We propose experiments to use these unique spectral properties as a new probe of the fractional quantum Hall effect.

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Michael R. Geller, Daniel Loss. 2000-03-18. Coulomb Blockade in the Fractional Quantum Hall Effect Regime. https://doi.org/10.1103/physrevb.62.r16298

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