Transition from Abelian to non-Abelian FQHE states
We study the transition from the Abelian multi-component (3,3,1) quantum Hall state to the non-Abelian one component Pfaffian state in bilayer two dimensional electron systems. We show that tunneling between layers can induce this transition. At the transition points part of the degrees of freedom t...
Guardado en:
Autores principales: | , , |
---|---|
Formato: | Articulo Preprint |
Lenguaje: | Inglés |
Publicado: |
2001
|
Materias: | |
Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/131752 |
Aporte de: |
id |
I19-R120-10915-131752 |
---|---|
record_format |
dspace |
institution |
Universidad Nacional de La Plata |
institution_str |
I-19 |
repository_str |
R-120 |
collection |
SEDICI (UNLP) |
language |
Inglés |
topic |
Física |
spellingShingle |
Física Cabra, Daniel Carlos Lopez, A. Rossini, Gerardo Luis Transition from Abelian to non-Abelian FQHE states |
topic_facet |
Física |
description |
We study the transition from the Abelian multi-component (3,3,1) quantum Hall state to the non-Abelian one component Pfaffian state in bilayer two dimensional electron systems. We show that tunneling between layers can induce this transition. At the transition points part of the degrees of freedom that describe the (3,3,1) state disappear from the spectrum, and the system is correctly described by the Pfaffian state, with quasi-particles that satisfy non-Abelian statistics. The mechanism described in this work provides for a physical Hamiltonian interpretation of the algebraic projection from the (3,3,1) to the Pfaffian state that has been discussed in the literature. |
format |
Articulo Preprint |
author |
Cabra, Daniel Carlos Lopez, A. Rossini, Gerardo Luis |
author_facet |
Cabra, Daniel Carlos Lopez, A. Rossini, Gerardo Luis |
author_sort |
Cabra, Daniel Carlos |
title |
Transition from Abelian to non-Abelian FQHE states |
title_short |
Transition from Abelian to non-Abelian FQHE states |
title_full |
Transition from Abelian to non-Abelian FQHE states |
title_fullStr |
Transition from Abelian to non-Abelian FQHE states |
title_full_unstemmed |
Transition from Abelian to non-Abelian FQHE states |
title_sort |
transition from abelian to non-abelian fqhe states |
publishDate |
2001 |
url |
http://sedici.unlp.edu.ar/handle/10915/131752 |
work_keys_str_mv |
AT cabradanielcarlos transitionfromabeliantononabelianfqhestates AT lopeza transitionfromabeliantononabelianfqhestates AT rossinigerardoluis transitionfromabeliantononabelianfqhestates |
bdutipo_str |
Repositorios |
_version_ |
1764820453258428417 |