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首页> 外文期刊>Physical review >Tenth-order high-temperature expansion for the susceptibility and the specific heat of spin-s Heisenberg models with arbitrary exchange patterns: Application to pyrochlore and kagome magnets
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Tenth-order high-temperature expansion for the susceptibility and the specific heat of spin-s Heisenberg models with arbitrary exchange patterns: Application to pyrochlore and kagome magnets

机译：具有任意交换模式的自旋Heisenberg模型的磁化率和比热的十阶高温膨胀：在烧绿石和kagome磁体中的应用

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摘要

We present the high-temperature expansion (HTE) up to tenth order of the specific heat C and the uniform susceptibility X for Heisenberg models with arbitrary exchange patterns and arbitrary spin quantum number s. We encode the algorithm in a C++ program provided in the Supplemental Material which allows to explicitly get the HTE series for concrete Heisenberg models. We apply our algorithm to pyrochlore ferromagnets and kagome antiferromagnets using several Pade approximants for the HTE series. For the pyrochlore ferromagnet, we use the HTE data for X to estimate the Curie temperature T_c as a function of the spin quantum number s. We find that T_c is smaller than that for the simple-cubic lattice, although both lattices have the same coordination number. For the kagome antiferromagnet, the influence of the spin quantum number s on the susceptibility as a function of renormalized temperature T/s(s + 1) is rather weak for temperatures down to T/s(s + 1) ～ 0.3. On the other hand, the specific heat as a function of T/s(s + 1) noticeably depends on s. The characteristic maximum in C(T) is monotonously shifted to lower values of T/s(s + 1) when increasing s.
机译：对于具有任意交换模式和任意自旋量子数s的海森堡模型，我们给出了比热C的十分之一的高温膨胀（HTE）和均匀磁化率X。我们在补充材料中提供的C ++程序中对算法进行编码，该程序可为具体的Heisenberg模型明确获得HTE系列。我们使用HTE系列的几个Pade近似值将算法应用于烧绿石铁磁体和kagome反铁磁体。对于烧绿石铁磁体，我们使用X的HTE数据来估计居里温度T_c作为自旋量子数s的函数。我们发现T_c小于简单三次晶格，尽管两个晶格具有相同的配位数。对于kagome反铁磁体，当温度降至T / s（s + 1）〜0.3时，自旋量子数s对磁化率的影响随重归一化温度T / s（s + 1）的变化而变弱。另一方面，作为T / s（s + 1）的函数的比热明显取决于s。当增加s时，C（T）中的特征最大值单调移至T / s（s +1）的较低值。

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