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Mathematical Physics

arXiv:1812.09316 (math-ph)
This paper has been withdrawn by Yi Qiao
[Submitted on 20 Dec 2018 (v1), last revised 25 Dec 2018 (this version, v2)]

Title:Exact solution of an integrable $J_1-J_2$ spin chain model

Authors:Yi Qiao, Zhirong Xin, Junpeng Cao, Wen-Li Yang, Kangjie Shi, Yupeng Wang
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Abstract:An integrable Heisenberg spin chain with nearest-neighbour couplings, next-nearest-neighbour couplings and Dzyaloshinski-Moriya interacton is constructed. The integrability of the model is proven. Based on the Bethe Ansatz solutions, the ground state and the elementary excitations are studied. It is shown that the spinon excitation spectrum of the present system possesses a novel triple arched structure. The method provided in this paper is general to construct new integrable models with next-nearest-neighbour couplings.
Comments: The model has been studied. We appreciate Prof. Hosho Katsura for pointing out for us
Subjects: Mathematical Physics (math-ph); Statistical Mechanics (cond-mat.stat-mech); Exactly Solvable and Integrable Systems (nlin.SI)
Cite as: arXiv:1812.09316 [math-ph]
  (or arXiv:1812.09316v2 [math-ph] for this version)
  https://doi.org/10.48550/arXiv.1812.09316

Submission history

From: Yi Qiao [view email]
[v1] Thu, 20 Dec 2018 09:29:24 UTC (208 KB)
[v2] Tue, 25 Dec 2018 09:29:27 UTC (1 KB) (withdrawn)
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