Microscopic description of the chiral Tomonaga-Luttinger liquid at the fractional quantum Hall edge

Details Microscopic description of the chiral Tomonaga-Luttinger liquid at the fractional quantum Hall edge Microscopic description of the chiral Tomonaga-Luttinger liquid at the fractional quantum Hall edge

2009-06-23

arxiv.org/abs/0906.4319v1

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, 2 figures

Scientific paper

The effective field theory of the fractional quantum Hall edge is reformulated from microscopic dynamics. Noncommutative Chern-Simons theory is a microscopic description for the quantum Hall fluid. We use it for reference. Considering relabeling symmetry of the electrons and incompressibility of the fluid, we obtain a constraint and derive a chiral Tomonaga-Luttinger liquid theory containing interaction terms. We calculate one-loop corrections to the phonon and electron propagators and get a new tunneling exponent. It agrees with experiments.

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