Third-neighbour and other four-point correlation functions of spin-1/2 XXZ chain

Third-neighbour and other four-point correlation functions of spin-1/2 XXZ chain
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DOI:
10.1088/0305-4470/37/19/001
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发表时间:
2004-05-14
期刊:
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
影响因子:
--
通讯作者:
Sakai, K
Sakai, K
中科院分区:
其他
文献类型:
--
作者:
Kato, G;Shiroishi, M;Sakai, K

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基态自旋-1/2XXZ链的关联函数以重积分的形式表示,其中-1<lt;Delta小于等于1和1<lt;特别地,相邻的四点相关函数被给出了一定的四维积分。我们证明了这些积分可以归结为关于特定一维积分的多项式。结果给出了第三邻域相关函数的多项式表示。
The correlation functions of the spin-1/2 XXZ chain in the ground state were expressed in the form of multiple integrals for -1 < Delta less than or equal to 1 and 1 < Delta. In particular, adjacent four-point correlation functions were given as certain four-dimensional integrals. We show that these integrals can be reduced to polynomials with respect to specific one-dimensional integrals. The results give the polynomial representation of the third-neighbour correlation functions.