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

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dc.creatorBoyarsky, A.
dc.creatorCheianov, Vadim V.
dc.creatorRuchayskiy, O.
dc.date2004-02-23
dc.date2004-06-15
dc.date.accessioned2026-07-07T11:42:52Z
dc.date.available2026-07-07T11:42:52Z
dc.descriptionWe 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.
dc.description5 pages, revtex, several clarifying comments added
dc.identifierhttps://arxiv.org/abs/cond-mat/0402562
dc.identifierhttp://arxiv.org/abs/cond-mat/0402562
dc.identifierPhys.Rev.B70:235309,2004
dc.identifierdoi:10.1103/PhysRevB.70.235309
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/201040
dc.subjectMesoscale and Nanoscale Physics
dc.subjectStrongly Correlated Electrons
dc.subjectHigh Energy Physics - Theory
dc.titleMicroscopic construction of the chiral Luttinger liquid theory of the quantum Hall edge
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