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arXiv 2105.01352math-phcond-mat.stat-mechhep-thmath.MPnlin.SI
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有限温度下海森堡链的T-W关系和自由能

T-W relation and free energy of the Heisenberg chain at a finite temperature

Pengcheng Lu, Yi Qiao, Junpeng Cao, Wen-Li Yang, Kangjie Shi, Yupeng Wang

摘要:

基于量子转移矩阵的t-W关系,导出了描述海森堡自旋链热力学的一个新的非线性积分方程。通过求解非线性积分方程,得到了系统在磁场中的自由能。该方法可以推广到其它格点量子可积模型。以SU(3)不变量子自旋链为例,构造了相应的非线性积分方程,并计算了自由能。本文的结果与以前用其他方法得到的结果完全一致。

英文摘要:

A new nonlinear integral equation (NLIE) describing the thermodynamics of the Heisenberg spin chain is derived based on the t-W relation of the quantum transfer matrices. The free energy of the system in a magnetic field is thus obtained by solving the NLIE. This method can be generalized to other lattice quantum integrable models. Taking the SU(3)-invariant quantum spin chain as an example, we construct the corresponding NLIEs and compute the free energy. The present results coincide exactly with those obtained via other methods previously.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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