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Fermi liquid to Luttinger liquid transition at the edge of a two-dimensional electron gas

M. Hilke·D. C. Tsui·M. Grayson·L. N. Pfeiffer·K. W. West
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Abstract

We present experimental results on the tunneling into the edge of a two dimensional electron gas (2DEG) obtained with a GaAs/AlGaAs cleaved edge overgrown structure in a strong perpendicular magnetic field. While the 2DEG exhibits typical fractional quantum Hall features of a very high mobility sample, we observe the onset of a non-linear current-voltage characteristic in the vicinity of nu=1. For filling factor nu<1 the system is consistent with a non-Fermi liquid behavior, such as a Luttinger liquid, whereas for nu>1 we observe an Ohmic tunneling resistance between the edge and a three dimensional contact, typical for a Fermi liquid. Hence, at the edge, there is a transition from a Luttinger liquid to a Fermi liquid. Finally, we show that the Luttinger liquid exponent at a given filling factor is not universal but depends on sample parameters.

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M. Hilke, D. C. Tsui, M. Grayson, L. N. Pfeiffer, K. W. West. 2001-04-30. Fermi liquid to Luttinger liquid transition at the edge of a two-dimensional electron gas. https://doi.org/10.1103/physrevlett.87.186806

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