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  • Title: Luttinger liquid at the edge of undoped graphene in a strong magnetic field.
    Author: Fertig HA, Brey L.
    Journal: Phys Rev Lett; 2006 Sep 15; 97(11):116805. PubMed ID: 17025918.
    Abstract:
    We demonstrate that an undoped two-dimensional carbon plane (graphene) whose bulk is in the integer quantum Hall regime supports a nonchiral Luttinger liquid at an armchair edge. This behavior arises due to the unusual dispersion of the noninteracting edge states, causing a crossing of bands with different valley and spin indices at the edge. We demonstrate that this stabilizes a domain wall structure with a spontaneously ordered phase degree of freedom. This coherent domain wall supports gapless charged excitations, and has a power law tunneling I-V with a nonintegral exponent. In proximity to a bulk lead, the edge may undergo a quantum phase transition between the Luttinger liquid phase and a metallic state.
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