Abstract
We propose direct experimental tests of the effective models of fractional quantum Hall edge states. We first illustrate the effective models classification with the example of a quantum Hall fluid at filling factor 2/3. We show that, in this example, it is impossible to describe the edge states with only one chiral channel and that there are several inequivalent models of the edge states with two fields. We focus our attention on the four simplest models of the edge states of a fluid with filling factor 2/3 and evaluate charges and scaling dimensions of quasi-particles. We study transport through an electronic Fabry-Perot interferometer and show that scaling properties of the Fourier components of Aharonov-Bohm oscillations in the current provide information about the electric charges and scaling dimensions of quasi-particles. Thus, such interferometers can be used to discriminate between different effective models of fluids corresponding to the same filling factor.
Some text sections in this chapter are reproduced from Phys. Rev. B 80, 045319 (2009), © American Physical Society.
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Notes
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We assume that both quantum point contacts are either in a weak tunneling regime or in a weak backscattering regime.Moreover, we further assume that two channels at each quantum Hall edge originate from the same Ohmic contact, and therefore, they are equally biased.
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Levkivskyi, I. (2012). Spectroscopy of Quantum Hall Edge States at Complex Filling Factors. In: Mesoscopic Quantum Hall Effect. Springer Theses. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-30499-6_7
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