Exact solution of an integrable anisotropic J1−J2 spin chain model
Exact solution of an integrable anisotropic J1−J2 spin chain model
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DOI：
10.1088/1751-8121/ab6a32
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发表时间：
2019-02
期刊：
影响因子：
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通讯作者：
Yi Qiao;Pei Sun;Zhirong Xin;Junpeng Cao;Wen-Li Yang
中科院分区：
文献类型：
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作者：
Yi Qiao;Pei Sun;Zhirong Xin;Junpeng Cao;Wen-Li Yang
构造了一个具有最近邻耦合、次最近邻耦合和标量手征项的可积各向异性海森堡自旋链。在证明了可积性之后，我们得到了系统的精确解。基态和元激发也进行了研究。结果表明，该模型的自旋激发具有一种新的三拱形结构。如果各向异性参数是真实的，则基元激发是无能隙的，而如果各向异性参数是虚的，则基元激发具有由次近邻和手征三自旋相互作用增强的能隙。本文的方法提供了一种构造次近邻可积模型的一般方法。
An integrable anisotropic Heisenberg spin chain with nearest-neighbour couplings, next-nearest-neighbour couplings and scalar chirality terms is constructed. After proving the integrability, we obtain the exact solution of the system. The ground state and the elementary excitations are also studied. It is shown that the spinon excitation of the present model possesses a novel triple arched structure. The elementary excitation is gapless if the anisotropic parameter is real while the elementary excitation has an enhanced gap by the next-nearest-neighbour and chiral three-spin interactions if the anisotropic parameter is imaginary. The method of this paper provides a general way to construct integrable models with next-nearest-neighbour interactions.