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Root patterns and exact surface energy of the spin-1 Heisenberg model with generic open boundaries

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posted on 2024-08-27, 07:32 authored by Jiasheng Dong, Pengcheng LuPengcheng Lu, Junpeng Cao, Wen-Li Yang, Ian MarquetteIan Marquette, Yao-Zhong Zhang
We investigate the thermodynamic limit and exact surface energy of the isotropic spin-1 Heisenberg chain with integrable generic open boundary conditions by a novel Bethe ansatz method. We obtain the homogeneous (or two-term) Bethe ansatz like equations for the zero roots of the transfer matrix. Based on the patterns of the zero roots, we analytical calculate the densities of zero roots and the surface energies of the model in all regimes of the boundary parameters.

Funding

We acknowledge the financial support from National Key R D Program of China (Grant No. 2021YFA1402104), Australian Research Council Discovery Project DP190101529 and Future Fellowship FT180100099, China Postdoctoral Science Foundation Fellowship 2020M680724, National Natural Science Foundation of China (Grant Nos. 12074410, 12247103, 12247179, 11934015 and 11975183), the Major Basic Research Program of Natural Science of Shaanxi Province (Grant Nos. 2021JCW-19 and 2017ZDJC-32), and the Strategic Priority Research Program of the Chinese Academy of Sciences (Grant No. XDB33000000).

History

Publication Date

2024-07-12

Journal

Journal of Physics A: Mathematical and Theoretical

Volume

57

Issue

30

Article Number

305202

Pagination

15p.

Publisher

IOP Publishing

ISSN

1751-8113

Rights Statement

© 2024 The Author(s). Published by IOP Publishing Ltd Original content from this work may be used under the terms of the Creative Commons Attribution 4.0 license. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI.

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