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# The universal edge physics in fractional quantum hall liquids

## Author(s): Hu, Z-X; Bhatt, Ravindra N; Wan, X; Yang, K

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 Abstract: The chiral Luttinger liquid theory for fractional quantum Hall edge transport predicts universal power-law behavior in the current-voltage (I-V) characteristics for electrons tunneling into the edge. However, it has not been unambiguously observed in experiments in two-dimensional electron gases based on GaAs/GaAlAs heterostructures or quantum wells. One plausible cause is the fractional quantum Hall edge reconstruction, which introduces non-chiral edge modes. The coupling between counterpropagating edge modes can modify the exponent of the I-V characteristics. By comparing the v = 1/3 fractional quantum Hall states in modulation-doped semiconductor devices and in graphene devices, we show that the graphene-based systems have an experimental accessible parameter region to avoid the edge reconstruction, which is suitable for the exploration of the universal edge tunneling exponent predicted by the chiral Luttinger liquid theory. Publication Date: 2012 Electronic Publication Date: 2012 Citation: Hu, Z-X, Bhatt, RN, Wan, X, Yang, K. (2012). The universal edge physics in fractional quantum hall liquids. Journal of Physics: Conference Series, 402 (10.1088/1742-6596/402/1/012017 DOI: doi:10.1088/1742-6596/402/1/012017 Type of Material: Conference Article Journal/Proceeding Title: Journal of Physics: Conference Series Version: Author's manuscript

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