Microscopic construction of the chiral Luttinger liquid theory of the quantum Hall edge

Details Microscopic construction of the chiral Luttinger liquid theory of the quantum Hall edge Microscopic construction of the chiral Luttinger liquid theory of the quantum Hall edge

2004-02-23

arxiv.org/abs/cond-mat/0402562v2

Phys.Rev.B70:235309,2004

Physics

Condensed Matter

Mesoscale and Nanoscale Physics

5 pages, revtex, several clarifying comments added

Scientific paper

10.1103/PhysRevB.70.235309

We give a microscopic derivation of the chiral Luttinger liquid theory for the Laughlin states. Starting from the wave function describing an arbitrary incompressibly deformed Laughlin state (IDLS) we quantize these deformations. In this way we obtain the low-energy projections of local microscopic operators and derive the quantum field theory of edge excitations directly from quantum mechanics of electrons. This shows that to describe experimental and numeric deviations from chiral Luttinger liquid theory one needs to go beyond Laughlin's approximation. We show that in the large N limit the IDLS is described by the dispersionless Toda hierarchy.

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