几何受挫自旋1/2伊辛-海森堡的精确解 三角化Kagome格模型

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摘要翻译：
在基于广义星三角映射变换的精确分析方法框架内，研究了自旋1/2的Ising-Heisenberg模型在三角化Kagome（三角形中的三角形）晶格上的几何挫折。通过与Kagome晶格上的自旋1/2伊辛模型建立精确的映射关系，得到了基态和有限温度相图以及配分函数、亥姆霍兹自由能、内能、熵和比热的精确结果。结果表明，量子Ising-Heisenberg模型下无序自旋液相的剩余熵显著低于半经典Ising极限(S0/ntkb=0.2806和0.4752）,表明量子涨落部分地提升了受挫区基态流形的宏观简并。所研究的模型体系与一系列聚合物配合物Cu_9X_2(cpa)_6(X=F，Cl，Br和cpa=羧戊酸）具有明显的相关性，并对其零场比热的温度依赖性进行了理论预测。
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英文标题：
《Exact solution of the geometrically frustrated spin-1/2 Ising-Heisenberg
  model on the triangulated Kagome (triangles-in-triangles) lattice》
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作者：
Jozef Strecka, Lucia Canova, Michal Jascur, Masayuki Hagiwara
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最新提交年份：
2008
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分类信息：

一级分类：Physics        物理学
二级分类：Statistical Mechanics        统计力学
分类描述：Phase transitions, thermodynamics, field theory, non-equilibrium phenomena, renormalization group and scaling, integrable models, turbulence
相变，热力学，场论，非平衡现象，重整化群和标度，可积模型，湍流
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一级分类：Physics        物理学
二级分类：Disordered Systems and Neural Networks        无序系统与神经网络
分类描述：Glasses and spin glasses; properties of random, aperiodic and quasiperiodic systems; transport in disordered media; localization; phenomena mediated by defects and disorder; neural networks
眼镜和旋转眼镜；随机、非周期和准周期系统的性质；无序介质中的传输；本地化；由缺陷和无序介导的现象；神经网络
--

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英文摘要：
  The geometric frustration of the spin-1/2 Ising-Heisenberg model on the triangulated Kagome (triangles-in-triangles) lattice is investigated within the framework of an exact analytical method based on the generalized star-triangle mapping transformation. Ground-state and finite-temperature phase diagrams are obtained along with other exact results for the partition function, Helmholtz free energy, internal energy, entropy, and specific heat, by establishing a precise mapping relationship to the corresponding spin-1/2 Ising model on the Kagome lattice. It is shown that the residual entropy of the disordered spin liquid phase is for the quantum Ising-Heisenberg model significantly lower than for its semi-classical Ising limit (S_0/N_T k_B = 0.2806 and 0.4752, respectively), which implies that quantum fluctuations partially lift a macroscopic degeneracy of the ground-state manifold in the frustrated regime. The investigated model system has an obvious relevance to a series of polymeric coordination compounds Cu_9X_2(cpa)_6 (X=F, Cl, Br and cpa=carboxypentonic acid) for which we made a theoretical prediction about the temperature dependence of zero-field specific heat.
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PDF链接：
https://arxiv.org/pdf/802.1582

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关键词：gome 海森堡 ago Fluctuations establishing 液相 exact 基态 量子 Heisenberg