Effect of the boundary shape in the effective theory of fractional quantum Hall edges

Starting from a microscopic description of a system of strongly interacting electrons in a strong magnetic field in a finite geometry, we construct the boundary low energy effective theory for a fractional quantum Hall droplet taking into account the effects of a smooth edge. The effective theory ob...

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Detalles Bibliográficos
Autores principales: Cabra, Daniel Carlos, Grandi, Nicolás Esteban
Formato: Articulo
Lenguaje:Inglés
Publicado: 2008
Materias:
Física
Physics
Quasiparticle
Effective field theory
Luttinger liquid
Quantum hall effect
Nambu–jona-lasinio model
Condensed matter physics
Boundary (topology)
Quantum mechanics
Fractional quantum hall effect
Boson
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126330
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-126330
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Physics
Quasiparticle
Effective field theory
Luttinger liquid
Quantum hall effect
Nambu–jona-lasinio model
Condensed matter physics
Boundary (topology)
Quantum mechanics
Fractional quantum hall effect
Boson
spellingShingle Física
Physics
Quasiparticle
Effective field theory
Luttinger liquid
Quantum hall effect
Nambu–jona-lasinio model
Condensed matter physics
Boundary (topology)
Quantum mechanics
Fractional quantum hall effect
Boson
Cabra, Daniel Carlos
Grandi, Nicolás Esteban
Effect of the boundary shape in the effective theory of fractional quantum Hall edges
topic_facet Física
Physics
Quasiparticle
Effective field theory
Luttinger liquid
Quantum hall effect
Nambu–jona-lasinio model
Condensed matter physics
Boundary (topology)
Quantum mechanics
Fractional quantum hall effect
Boson
description Starting from a microscopic description of a system of strongly interacting electrons in a strong magnetic field in a finite geometry, we construct the boundary low energy effective theory for a fractional quantum Hall droplet taking into account the effects of a smooth edge. The effective theory obtained is the standard chiral boson theory (chiral Luttinger theory) with an additional self-interacting term which is induced by the boundary. As an example of the consequences of this model, we show that such modification leads to a nonuniversal reduction in the tunneling exponent which is independent of the filling fraction. This is in qualitative agreement with experiments, which systematically found exponents smaller than those predicted by the ordinary chiral Luttinger liquid theory.
format Articulo
Articulo
author Cabra, Daniel Carlos
Grandi, Nicolás Esteban
author_facet Cabra, Daniel Carlos
Grandi, Nicolás Esteban
author_sort Cabra, Daniel Carlos
title Effect of the boundary shape in the effective theory of fractional quantum Hall edges
title_short Effect of the boundary shape in the effective theory of fractional quantum Hall edges
title_full Effect of the boundary shape in the effective theory of fractional quantum Hall edges
title_fullStr Effect of the boundary shape in the effective theory of fractional quantum Hall edges
title_full_unstemmed Effect of the boundary shape in the effective theory of fractional quantum Hall edges
title_sort effect of the boundary shape in the effective theory of fractional quantum hall edges
publishDate 2008
url http://sedici.unlp.edu.ar/handle/10915/126330
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AT grandinicolasesteban effectoftheboundaryshapeintheeffectivetheoryoffractionalquantumhalledges
bdutipo_str Repositorios
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