Thermodynamic limit and boundary energy of the su(3) spin chain with non-diagonal boundary fields

We investigate the thermodynamic limit of the su(n)-invariant spin chain models with unparallel boundary fields. It is found that the contribution of the inhomogeneous term in the associated T–Q relation to the ground state energy does vanish in the thermodynamic limit. This fact allows us to calcul...

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Main Authors: Fakai Wen, Tao Yang, Zhanying Yang, Junpeng Cao, Kun Hao, Wen-Li Yang
Format: Article
Language:English
Published: Elsevier 2017-02-01
Series:Nuclear Physics B
Online Access:http://www.sciencedirect.com/science/article/pii/S0550321316303893
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author Fakai Wen
Tao Yang
Zhanying Yang
Junpeng Cao
Kun Hao
Wen-Li Yang
author_facet Fakai Wen
Tao Yang
Zhanying Yang
Junpeng Cao
Kun Hao
Wen-Li Yang
author_sort Fakai Wen
collection DOAJ
description We investigate the thermodynamic limit of the su(n)-invariant spin chain models with unparallel boundary fields. It is found that the contribution of the inhomogeneous term in the associated T–Q relation to the ground state energy does vanish in the thermodynamic limit. This fact allows us to calculate the boundary energy of the system. Taking the su(2) (or the XXX) spin chain and the su(3) spin chain as concrete examples, we have studied the corresponding boundary energies of the models. The method used in this paper can be generalized to study the thermodynamic properties and boundary energy of other high rank models with non-diagonal boundary fields.
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spelling doaj.art-c5103868e9654a0fa0fcddff7eaa6c362022-12-22T00:21:29ZengElsevierNuclear Physics B0550-32131873-15622017-02-01915C11913410.1016/j.nuclphysb.2016.12.003Thermodynamic limit and boundary energy of the su(3) spin chain with non-diagonal boundary fieldsFakai Wen0Tao Yang1Zhanying Yang2Junpeng Cao3Kun Hao4Wen-Li Yang5Institute of Modern Physics, Northwest University, Xi'an 710069, ChinaInstitute of Modern Physics, Northwest University, Xi'an 710069, ChinaShaanxi Key Laboratory for Theoretical Physics Frontiers, Xi'an 710069, ChinaInstitute of Physics, Chinese Academy of Sciences, Beijing 100190, ChinaInstitute of Modern Physics, Northwest University, Xi'an 710069, ChinaInstitute of Modern Physics, Northwest University, Xi'an 710069, ChinaWe investigate the thermodynamic limit of the su(n)-invariant spin chain models with unparallel boundary fields. It is found that the contribution of the inhomogeneous term in the associated T–Q relation to the ground state energy does vanish in the thermodynamic limit. This fact allows us to calculate the boundary energy of the system. Taking the su(2) (or the XXX) spin chain and the su(3) spin chain as concrete examples, we have studied the corresponding boundary energies of the models. The method used in this paper can be generalized to study the thermodynamic properties and boundary energy of other high rank models with non-diagonal boundary fields.http://www.sciencedirect.com/science/article/pii/S0550321316303893
spellingShingle Fakai Wen
Tao Yang
Zhanying Yang
Junpeng Cao
Kun Hao
Wen-Li Yang
Thermodynamic limit and boundary energy of the su(3) spin chain with non-diagonal boundary fields
Nuclear Physics B
title Thermodynamic limit and boundary energy of the su(3) spin chain with non-diagonal boundary fields
title_full Thermodynamic limit and boundary energy of the su(3) spin chain with non-diagonal boundary fields
title_fullStr Thermodynamic limit and boundary energy of the su(3) spin chain with non-diagonal boundary fields
title_full_unstemmed Thermodynamic limit and boundary energy of the su(3) spin chain with non-diagonal boundary fields
title_short Thermodynamic limit and boundary energy of the su(3) spin chain with non-diagonal boundary fields
title_sort thermodynamic limit and boundary energy of the su 3 spin chain with non diagonal boundary fields
url http://www.sciencedirect.com/science/article/pii/S0550321316303893
work_keys_str_mv AT fakaiwen thermodynamiclimitandboundaryenergyofthesu3spinchainwithnondiagonalboundaryfields
AT taoyang thermodynamiclimitandboundaryenergyofthesu3spinchainwithnondiagonalboundaryfields
AT zhanyingyang thermodynamiclimitandboundaryenergyofthesu3spinchainwithnondiagonalboundaryfields
AT junpengcao thermodynamiclimitandboundaryenergyofthesu3spinchainwithnondiagonalboundaryfields
AT kunhao thermodynamiclimitandboundaryenergyofthesu3spinchainwithnondiagonalboundaryfields
AT wenliyang thermodynamiclimitandboundaryenergyofthesu3spinchainwithnondiagonalboundaryfields