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Exact solution of an anisotropic J_(1)–J_(2)model with the Dzyloshinsky–Moriya interactions at boundaries

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摘要 We propose a method to construct new quantum integrable models.As an example,we construct an integrable anisotropic quantum spin chain which includes the nearest-neighbor,next-nearestneighbor and chiral three-spin couplings.It is shown that the boundary fields can enhance the anisotropy of the first and last bonds,and can induce the Dzyloshinsky–Moriya interactions along the z-direction at the boundaries.By using the algebraic Bethe ansatz,we obtain the exact solution of the system.The energy spectrum of the system and the associated Bethe ansatz equations are given explicitly.The method provided in this paper is universal and can be applied to constructing other exactly solvable models with certain interesting interactions.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2021年第7期1-6,共6页 理论物理通讯(英文版)
基金 financial supports from National Program for Basic Research of MOST(Grant Nos.2016 YFA0300600 and 2016YFA0302104) National Natural Science Foundation of China(Grant Nos.12074410,12047502,11934015,11975183,11947301 and 11774397) Major Basic Research Program of Natural Science of Shaanxi Province(Grant No.2017ZDJC-32) Australian Research Council(Grant No.DP 190101529) the Strategic Priority Research Program of the Chinese Academy of Sciences(Grant No.XDB33000000) the fellowship of China Postdoctoral Science Foundation(Grant No.2020M680724) Double First-Class University Construction Project of Northwest University are gratefully acknowledged。
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