Numerical Jordan-Wigner approach for two-dimensional spin systems

We present a numerical self-consistent variational approach based on the Jordan-Wigner transformation for two-dimensional spin systems. We apply it to the study of the well-known quantum (S = 1/2 ) antiferromagnetic XXZ system as a function of the easy-axis anisotropy Δ on a periodic square lattice....

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Autores principales: Cabra, Daniel Carlos, Rossini, Gerardo Luis
Formato: Articulo
Lenguaje:Inglés
Publicado: 2004
Materias:
Física
Physics
Antiferromagnetism
Square lattice
Quantum statistical mechanics
Mathematical physics
Frustration
Function (mathematics)
Quantum mechanics
Ground state
Spin-½
Anisotropy
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/126489
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-126489
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Física
Physics
Antiferromagnetism
Square lattice
Quantum statistical mechanics
Mathematical physics
Frustration
Function (mathematics)
Quantum mechanics
Ground state
Spin-½
Anisotropy
spellingShingle Física
Physics
Antiferromagnetism
Square lattice
Quantum statistical mechanics
Mathematical physics
Frustration
Function (mathematics)
Quantum mechanics
Ground state
Spin-½
Anisotropy
Cabra, Daniel Carlos
Rossini, Gerardo Luis
Numerical Jordan-Wigner approach for two-dimensional spin systems
topic_facet Física
Physics
Antiferromagnetism
Square lattice
Quantum statistical mechanics
Mathematical physics
Frustration
Function (mathematics)
Quantum mechanics
Ground state
Spin-½
Anisotropy
description We present a numerical self-consistent variational approach based on the Jordan-Wigner transformation for two-dimensional spin systems. We apply it to the study of the well-known quantum (S = 1/2 ) antiferromagnetic XXZ system as a function of the easy-axis anisotropy Δ on a periodic square lattice. For the SU (2) case the method converges to a Néel ordered ground state irrespective of the input density profile used and in accordance with other studies. This shows the potential utility of the proposed method to investigate more complicated situations such as frustrated or disordered systems.
format Articulo
Articulo
author Cabra, Daniel Carlos
Rossini, Gerardo Luis
author_facet Cabra, Daniel Carlos
Rossini, Gerardo Luis
author_sort Cabra, Daniel Carlos
title Numerical Jordan-Wigner approach for two-dimensional spin systems
title_short Numerical Jordan-Wigner approach for two-dimensional spin systems
title_full Numerical Jordan-Wigner approach for two-dimensional spin systems
title_fullStr Numerical Jordan-Wigner approach for two-dimensional spin systems
title_full_unstemmed Numerical Jordan-Wigner approach for two-dimensional spin systems
title_sort numerical jordan-wigner approach for two-dimensional spin systems
publishDate 2004
url http://sedici.unlp.edu.ar/handle/10915/126489
work_keys_str_mv AT cabradanielcarlos numericaljordanwignerapproachfortwodimensionalspinsystems
AT rossinigerardoluis numericaljordanwignerapproachfortwodimensionalspinsystems
bdutipo_str Repositorios
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