Tunneling into fractional quantum Hall liquids

Details Tunneling into fractional quantum Hall liquids Tunneling into fractional quantum Hall liquids

1998-12-27

arxiv.org/abs/cond-mat/9812400v2

Europhys. Lett. 47 (2), pp. 233-239 (1999)

Physics

Condensed Matter

Latex, 5 pages

Scientific paper

10.1209/epl/i1999-00377-0

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 $\alpha$ $(I\sim V^\alpha)$ is of the order of $\sqrt{\epsilon}$ $(\epsilon=v_n/v_c)$, which reduces the exponent $\alpha$. We suggest that it could explain the systematic discrepancy between the observed exponents and the exact $\alpha =1/\nu$ dependence.

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