Coulomb blockade in hierarchical quantum Hall droplets

Abstract: The degeneracy of energy levels in a quantum dot of Hall fluid, leading to conductance peaks, can be readily derived from the partition functions of conformal field theory. Their complete expressions can be found for Hall states with both Abelian and non-Abelian statistics, upon adapting k...

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Autores principales: Cappelli, Andrea, Georgiev, Lachezar S., Zemba, Guillermo Raúl
Formato: Documento de trabajo
Lenguaje:Inglés
Publicado: 2019
Materias:
FUNCIONES DE PARTICION
ESTADOS JERARQUICOS ABELIANOS
NIVELES DE ENERGIA
EFECTO HALL CUANTICO
FLUIDOS
GEOMETRIA
Acceso en línea:https://repositorio.uca.edu.ar/handle/123456789/5473
Aporte de:
Repositorio Institucional de la Universidad Católica Argentina (UCA) de Universidad Católica Argentina
id I33-R139123456789-5473
record_format dspace
institution Universidad Católica Argentina
institution_str I-33
repository_str R-139
collection Repositorio Institucional de la Universidad Católica Argentina (UCA)
language Inglés
topic FUNCIONES DE PARTICION
ESTADOS JERARQUICOS ABELIANOS
NIVELES DE ENERGIA
EFECTO HALL CUANTICO
FLUIDOS
GEOMETRIA
spellingShingle FUNCIONES DE PARTICION
ESTADOS JERARQUICOS ABELIANOS
NIVELES DE ENERGIA
EFECTO HALL CUANTICO
FLUIDOS
GEOMETRIA
Cappelli, Andrea
Georgiev, Lachezar S.
Zemba, Guillermo Raúl
Coulomb blockade in hierarchical quantum Hall droplets
topic_facet FUNCIONES DE PARTICION
ESTADOS JERARQUICOS ABELIANOS
NIVELES DE ENERGIA
EFECTO HALL CUANTICO
FLUIDOS
GEOMETRIA
description Abstract: The degeneracy of energy levels in a quantum dot of Hall fluid, leading to conductance peaks, can be readily derived from the partition functions of conformal field theory. Their complete expressions can be found for Hall states with both Abelian and non-Abelian statistics, upon adapting known results for the annulus geometry. We analyze the Abelian states with hierarchical filling fractions, = m/(mp±1), and find a non trivial pattern of conductance peaks. In particular, each one of them occurs with a characteristic multiplicity, that is due to the extended symmetry of the m-folded edge. Experimental tests of the multiplicity can shed more light on the dynamics of this composite edge.
format Documento de trabajo
author Cappelli, Andrea
Georgiev, Lachezar S.
Zemba, Guillermo Raúl
author_facet Cappelli, Andrea
Georgiev, Lachezar S.
Zemba, Guillermo Raúl
author_sort Cappelli, Andrea
title Coulomb blockade in hierarchical quantum Hall droplets
title_short Coulomb blockade in hierarchical quantum Hall droplets
title_full Coulomb blockade in hierarchical quantum Hall droplets
title_fullStr Coulomb blockade in hierarchical quantum Hall droplets
title_full_unstemmed Coulomb blockade in hierarchical quantum Hall droplets
title_sort coulomb blockade in hierarchical quantum hall droplets
publishDate 2019
url https://repositorio.uca.edu.ar/handle/123456789/5473
work_keys_str_mv AT cappelliandrea coulombblockadeinhierarchicalquantumhalldroplets
AT georgievlachezars coulombblockadeinhierarchicalquantumhalldroplets
AT zembaguillermoraul coulombblockadeinhierarchicalquantumhalldroplets
bdutipo_str Repositorios
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