Thermodynamics of the anisotropic spin-1/2 Heisenberg chain and related quantum chains
Thermodynamics of the anisotropic spin-1/2 Heisenberg chain and related quantum chains
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各向异性自旋 1/2 海森堡链及相关量子链的热力学
DOI：
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发表时间：
1993
期刊：
影响因子：
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通讯作者：
A. Klümper
中科院分区：
文献类型：
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作者：
A. Klümper
研究了有限温度下自旋 1/2XYZ 链的自由能和相关长度。我们使用量子传递矩阵方法并导出所有特征值的非线性积分方程。给出了低温渐进的分析结果，特别是外部磁场中临界 XXZ 链的分析结果。将这些结果与共形场理论的预测进行比较。对任意温度下的非临界 XXZ 链和相关的 spin-1 双二次链的积分方程进行数值求解。
The free energy and correlation lengths of the spin-1/2XYZ chain are studied at finite temperature. We use the quantum transfer matrix approach and derive non-linear integral equations for all eigenvalues. Analytic results are presented for the low-temperature asymptotics, in particular for the criticalXXZ chain in an external magnetic field. These results are compared to predictions by conformal field theory. The integral equations are solved numerically for the non-criticalXXZ chain and the related spin-1 biquadratic chain at arbitrary temperature.