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首页> 外文期刊>Journal of physics, A. Mathematical and theoretical >Statistically interacting quasiparticles in Ising chains
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Statistically interacting quasiparticles in Ising chains

机译：伊辛链中统计相互作用的准粒子

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The exclusion statistics of two complementary sets of quasiparticles, generated from opposite ends of the spectrum, are identified for Ising chains with spin s = 1/2, 1. In the s = 1/2 case the two sets are antiferromagnetic domain walls (solitons) and ferromagnetic domains (strings). In the s = 1 case they are soliton pairs and nested strings, respectively. The Ising model is equivalent to a system of two species of solitons for s = 1/2 and to a system of six species of soliton pairs for s = 1. Solitons exist on single bonds but soliton pairs may be spread across many bonds. The thermodynamics of a system of domains spanning up to M lattice sites is amenable to exact analysis and shown to become equivalent, in the limit M -> infinity, to the thermodynamics of the s = 1/2 Ising chain. A relation is presented between the solitons in the Ising limit and the spinons in the XX limit of the s = 1/2 XXZ chain.
机译：对于自旋s = 1/2，1的伊辛链，确定了从光谱的相反两端产生的两组互补的准粒子的排除统计量。在s = 1/2的情况下，两组是反铁磁畴壁（孤子） ）和铁磁畴（弦）。在s = 1的情况下，它们分别是孤子对和嵌套字符串。 Ising模型等效于s = 1/2的两种孤子系统和s = 1的六种孤子对系统。孤子存在于单键上，但孤子对可能分布在许多键上。涵盖多达M个晶格位点的区域系统的热力学可以进行精确分析，并显示出在s = 1/2 Ising链的热力学范围内（等于M->无穷大）。在s = 1/2 XXZ链的Ising极限的孤子和XX极限的孤子之间存在关系。

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