Non-Abelian bosonization and Haldane’s conjecture

We study the long-wavelength limit of a spin S Heisenberg antiferromagnetic chain. The fermionic Lagrangian obtained corresponds to a perturbed level 2S SU(2) Wess-Zumino-Witten (WZW) model. This effective theory is then mapped into a compact U(1) boson interacting with Z<sub>2S</sub> p...

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Detalles Bibliográficos
Autores principales: Cabra, Daniel Carlos, Pujol, Pierre, Reichenbach, María Cecilia von
Formato: Articulo
Lenguaje:Inglés
Publicado: 1998
Materias:
Ciencias Exactas
Física
Spin S Heisenberg
Fermionic Lagrangian
Boson
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/122954
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-122954
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Ciencias Exactas
Física
Spin S Heisenberg
Fermionic Lagrangian
Boson
spellingShingle Ciencias Exactas
Física
Spin S Heisenberg
Fermionic Lagrangian
Boson
Cabra, Daniel Carlos
Pujol, Pierre
Reichenbach, María Cecilia von
Non-Abelian bosonization and Haldane’s conjecture
topic_facet Ciencias Exactas
Física
Spin S Heisenberg
Fermionic Lagrangian
Boson
description We study the long-wavelength limit of a spin S Heisenberg antiferromagnetic chain. The fermionic Lagrangian obtained corresponds to a perturbed level 2S SU(2) Wess-Zumino-Witten (WZW) model. This effective theory is then mapped into a compact U(1) boson interacting with Z<sub>2S</sub> parafermions. The analysis of this effective theory allows us to show that when S is an integer there is a mass gap to all excitations, whereas this gap vanishes in the half-odd-integer spin case and the SU(2)<sub>2S</sub> WZW model flows towards the SU(2)<sub>1</sub> stable fixed point. This gives a field theory treatment of the so-called Haldane’s conjecture for arbitrary values of the spin S.
format Articulo
Articulo
author Cabra, Daniel Carlos
Pujol, Pierre
Reichenbach, María Cecilia von
author_facet Cabra, Daniel Carlos
Pujol, Pierre
Reichenbach, María Cecilia von
author_sort Cabra, Daniel Carlos
title Non-Abelian bosonization and Haldane’s conjecture
title_short Non-Abelian bosonization and Haldane’s conjecture
title_full Non-Abelian bosonization and Haldane’s conjecture
title_fullStr Non-Abelian bosonization and Haldane’s conjecture
title_full_unstemmed Non-Abelian bosonization and Haldane’s conjecture
title_sort non-abelian bosonization and haldane’s conjecture
publishDate 1998
url http://sedici.unlp.edu.ar/handle/10915/122954
work_keys_str_mv AT cabradanielcarlos nonabelianbosonizationandhaldanesconjecture
AT pujolpierre nonabelianbosonizationandhaldanesconjecture
AT reichenbachmariaceciliavon nonabelianbosonizationandhaldanesconjecture
bdutipo_str Repositorios
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