Phase diagram study of a dimerized spin-S zig-zag ladder
The phase diagram of a frustrated spin-S zig-zag ladder is studied through different numerical and analytical methods. We show that for arbitrary S, there is a family of Hamiltonians for which a fully-dimerized state is an exact ground state, being the Majumdar-Ghosh point a particular member of the...
Autores principales: | , |
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Formato: | Articulo Preprint |
Lenguaje: | Inglés |
Publicado: |
2014
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Materias: | |
Acceso en línea: | http://sedici.unlp.edu.ar/handle/10915/38683 http://arxiv.org/abs/1403.3737 |
Aporte de: |
id |
I19-R120-10915-38683 |
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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 quantum magnetism física cuántica |
spellingShingle |
Ciencias Exactas Física quantum magnetism física cuántica Lamas, Carlos Alberto Matera, Juan Mauricio Phase diagram study of a dimerized spin-S zig-zag ladder |
topic_facet |
Ciencias Exactas Física quantum magnetism física cuántica |
description |
The phase diagram of a frustrated spin-S zig-zag ladder is studied through different numerical and analytical methods. We show that for arbitrary S, there is a family of Hamiltonians for which a fully-dimerized state is an exact ground state, being the Majumdar-Ghosh point a particular member of the family. We show that the system presents a transition between a dimerized phase to a N ́eel-like phase for S = 1/2, and spiral phases can appear for large S. The phase diagram is characterized by means of a generalization of the usual Mean Field Approximation (MFA). The novelty in the present implementation is to consider the strongest coupled sites as the unit cell. The gap and the excitation spectrum is analyzed through the Random Phase Approximation (RPA). Also, a perturbative treatment to obtain the critical points is discussed. Comparisons of the results with numerical methods like DMRG are also presented. |
format |
Articulo Preprint |
author |
Lamas, Carlos Alberto Matera, Juan Mauricio |
author_facet |
Lamas, Carlos Alberto Matera, Juan Mauricio |
author_sort |
Lamas, Carlos Alberto |
title |
Phase diagram study of a dimerized spin-S zig-zag ladder |
title_short |
Phase diagram study of a dimerized spin-S zig-zag ladder |
title_full |
Phase diagram study of a dimerized spin-S zig-zag ladder |
title_fullStr |
Phase diagram study of a dimerized spin-S zig-zag ladder |
title_full_unstemmed |
Phase diagram study of a dimerized spin-S zig-zag ladder |
title_sort |
phase diagram study of a dimerized spin-s zig-zag ladder |
publishDate |
2014 |
url |
http://sedici.unlp.edu.ar/handle/10915/38683 http://arxiv.org/abs/1403.3737 |
work_keys_str_mv |
AT lamascarlosalberto phasediagramstudyofadimerizedspinszigzagladder AT materajuanmauricio phasediagramstudyofadimerizedspinszigzagladder |
bdutipo_str |
Repositorios |
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1764820471760551937 |