Dimerized ground states in spin-S frustrated systems

We study a family of frustrated antiferromagnetic spin-S systems with a fully dimerized ground state. Starting from the simplest case of the frustrated zigzag spin ladder, we generalize the family to more complex geometries like tetrahedral ladders and spin tubes. After presenting some numerical res...

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Autores principales: Lamas, Carlos Alberto, Matera, Juan Mauricio
Formato: Articulo
Lenguaje:Inglés
Publicado: 2015
Materias:
Física
Quantum systems with finite Hilbert space
Quantum algorithms
Protocols
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/154389
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-154389
record_format dspace
spelling I19-R120-10915-1543892023-06-16T04:06:00Z http://sedici.unlp.edu.ar/handle/10915/154389 issn:1098-0121 Dimerized ground states in spin-S frustrated systems Lamas, Carlos Alberto Matera, Juan Mauricio 2015 2023-06-15T15:26:07Z en Física Quantum systems with finite Hilbert space Quantum algorithms Protocols We study a family of frustrated antiferromagnetic spin-S systems with a fully dimerized ground state. Starting from the simplest case of the frustrated zigzag spin ladder, we generalize the family to more complex geometries like tetrahedral ladders and spin tubes. After presenting some numerical results about the phase diagram of these systems, we show that the ground state is robust against the inclusion of weak disorder in the couplings as well as several kinds of perturbations, allowing to study some other interesting models as a perturbative expansion of the exact one. A discussion on how to determine the dimerization region in terms of quantum information estimators is also presented. Finally, we explore the relation of these results with the case of a four-leg spin tube, which recently was proposed as a model for the description of the compound Cu₂Cl₄D₈C₄SO₂, delimiting the region of the parameter space where this model presents dimerization in its ground state. Quantum Information Research Group Instituto de Física La Plata Articulo Articulo http://creativecommons.org/licenses/by-nc-sa/4.0/ Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0) application/pdf
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Quantum systems with finite Hilbert space
Quantum algorithms
Protocols
spellingShingle Física
Quantum systems with finite Hilbert space
Quantum algorithms
Protocols
Lamas, Carlos Alberto
Matera, Juan Mauricio
Dimerized ground states in spin-S frustrated systems
topic_facet Física
Quantum systems with finite Hilbert space
Quantum algorithms
Protocols
description We study a family of frustrated antiferromagnetic spin-S systems with a fully dimerized ground state. Starting from the simplest case of the frustrated zigzag spin ladder, we generalize the family to more complex geometries like tetrahedral ladders and spin tubes. After presenting some numerical results about the phase diagram of these systems, we show that the ground state is robust against the inclusion of weak disorder in the couplings as well as several kinds of perturbations, allowing to study some other interesting models as a perturbative expansion of the exact one. A discussion on how to determine the dimerization region in terms of quantum information estimators is also presented. Finally, we explore the relation of these results with the case of a four-leg spin tube, which recently was proposed as a model for the description of the compound Cu₂Cl₄D₈C₄SO₂, delimiting the region of the parameter space where this model presents dimerization in its ground state.
format Articulo
Articulo
author Lamas, Carlos Alberto
Matera, Juan Mauricio
author_facet Lamas, Carlos Alberto
Matera, Juan Mauricio
author_sort Lamas, Carlos Alberto
title Dimerized ground states in spin-S frustrated systems
title_short Dimerized ground states in spin-S frustrated systems
title_full Dimerized ground states in spin-S frustrated systems
title_fullStr Dimerized ground states in spin-S frustrated systems
title_full_unstemmed Dimerized ground states in spin-S frustrated systems
title_sort dimerized ground states in spin-s frustrated systems
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/154389
work_keys_str_mv AT lamascarlosalberto dimerizedgroundstatesinspinsfrustratedsystems
AT materajuanmauricio dimerizedgroundstatesinspinsfrustratedsystems
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