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...

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Detalles Bibliográficos
Autores principales: Lamas, Carlos Alberto, Matera, Juan Mauricio
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2014
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
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
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