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Tunneling into fractional quantum Hall liquids

Ken-ichiro Imura
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Abstract

Motivated by the recent experiment by Grayson et.al., we investigate a non-ohmic current-voltage characteristics for the tunneling into fractional quantum Hall liquids. We give a possible explanation for the experiment in terms of the chiral Tomonaga-Luttinger liquid theory. We study the interaction between the charge and neutral modes, and found that the leading order correction to the exponent $α$ $(I\sim V^α)$ is of the order of $\sqrtε$ $(ε=v_n/v_c)$, which reduces the exponent $α$. We suggest that it could explain the systematic discrepancy between the observed exponents and the exact $α=1/ν$ dependence.

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Ken-ichiro Imura. 1999-02-16. Tunneling into fractional quantum Hall liquids. https://doi.org/10.1209/epl%2Fi1999-00377-0

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