Thermal conductivity of anisotropic and frustrated spin-½ chains

We analyze the thermal conductivity of anisotropic and frustrated spin-1/2 chains using analytical and numerical techniques. This includes mean-field theory based on the Jordan-Wigner transformation, bosonization, and exact diagonalization of systems with N ≲ 18 sites. We present results for the tem...

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Detalles Bibliográficos
Autores principales:	Heidrich Meisner, Fabián, Honecker, Andreas, Cabra, Daniel Carlos, Brenig, Wolfram
Formato:	Articulo
Lenguaje:	Inglés
Publicado:	2002
Materias:	Física Ciencias Exactas thermal conductivity Jordan-Wigner transformation Anisotropy
Acceso en línea:	http://sedici.unlp.edu.ar/handle/10915/126203 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.66.140406
Aporte de:	SEDICI (UNLP) de Universidad Nacional de La Plata

id	I19-R120-10915-126203
record_format	dspace
institution	Universidad Nacional de La Plata
institution_str	I-19
repository_str	R-120
collection	SEDICI (UNLP)
language	Inglés
topic	Física Ciencias Exactas thermal conductivity Jordan-Wigner transformation Anisotropy
spellingShingle	Física Ciencias Exactas thermal conductivity Jordan-Wigner transformation Anisotropy Heidrich Meisner, Fabián Honecker, Andreas Cabra, Daniel Carlos Brenig, Wolfram Thermal conductivity of anisotropic and frustrated spin-½ chains
topic_facet	Física Ciencias Exactas thermal conductivity Jordan-Wigner transformation Anisotropy
description	We analyze the thermal conductivity of anisotropic and frustrated spin-1/2 chains using analytical and numerical techniques. This includes mean-field theory based on the Jordan-Wigner transformation, bosonization, and exact diagonalization of systems with N ≲ 18 sites. We present results for the temperature dependence of the zero-frequency weight of the conductivity for several values of the anisotropy Δ. In the gapless regime, we show that the mean-field theory compares well to known results and that the low-temperature limit is correctly described by bosonization. In the antiferromagnetic and ferromagnetic gapped regime, we analyze the temperature dependence of the thermal conductivity numerically. The convergence of the finite-size data is remarkably good in the ferromagnetic case. Finally, we apply our numerical method and mean-field theory to the frustrated chain where we find a good agreement of these two approaches on finite systems. Our numerical data do not yield evidence for a diverging thermal conductivity in the thermodynamic limit in case of the antiferromagnetic gapped regime of the frustrated chain.
format	Articulo Articulo
author	Heidrich Meisner, Fabián Honecker, Andreas Cabra, Daniel Carlos Brenig, Wolfram
author_facet	Heidrich Meisner, Fabián Honecker, Andreas Cabra, Daniel Carlos Brenig, Wolfram
author_sort	Heidrich Meisner, Fabián
title	Thermal conductivity of anisotropic and frustrated spin-½ chains
title_short	Thermal conductivity of anisotropic and frustrated spin-½ chains
title_full	Thermal conductivity of anisotropic and frustrated spin-½ chains
title_fullStr	Thermal conductivity of anisotropic and frustrated spin-½ chains
title_full_unstemmed	Thermal conductivity of anisotropic and frustrated spin-½ chains
title_sort	thermal conductivity of anisotropic and frustrated spin-½ chains
publishDate	2002
url	http://sedici.unlp.edu.ar/handle/10915/126203 https://journals.aps.org/prb/abstract/10.1103/PhysRevB.66.140406
work_keys_str_mv	AT heidrichmeisnerfabian thermalconductivityofanisotropicandfrustratedspin1⁄2chains AT honeckerandreas thermalconductivityofanisotropicandfrustratedspin1⁄2chains AT cabradanielcarlos thermalconductivityofanisotropicandfrustratedspin1⁄2chains AT brenigwolfram thermalconductivityofanisotropicandfrustratedspin1⁄2chains
bdutipo_str	Repositorios
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Thermal conductivity of anisotropic and frustrated spin-½ chains

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