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arXiv 0712.3765nlin.SIcond-mat.stat-mechhep-th
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反铁磁交替自旋链的热力学

Thermodynamics of antiferromagnetic alternating spin chains

G. A. P. Ribeiro, A. Klümper

摘要:

考虑自旋(S_1,S_2)交替的可积量子自旋链。我们推导出一组有限的非线性积分方程的热力学这些模型通过使用量子转移矩阵方法。积分方程的数值解提供的数量,如比热,磁化率和在S_1=S_2的情况下的热德鲁德重量。在低温下,一类模型显示有限的磁化强度和其他类提出反铁磁行为。在低温下,热Drude重量与T成线性关系,并与系统的中心荷c成正比。非常一般地,我们观察到S_1 \neq S_2的剩余熵。

英文摘要:

We consider integrable quantum spin chains with alternating spins (S_1,S_2). We derive a finite set of non-linear integral equations for the thermodynamics of these models by use of the quantum transfer matrix approach. Numerical solutions of the integral equations are provided for quantities like specific heat, magnetic susceptibility and in the case S_1=S_2 for the thermal Drude weight. At low temperatures one class of models shows finite magnetization and the other class presents antiferromagnetic behaviour. The thermal Drude weight behaves linearly on T at low temperatures and is proportional to the central charge c of the system. Quite generally, we observe residual entropy for S_1\neq S_2.

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