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摘要翻译：
利用格林函数形式下的运动方程方法，精确地求解了外加磁场作用下Bethe晶格上的铁磁自旋1/2伊辛模型。特别地，这种方法被应用于局域费米粒子通过库仑相互作用的同构模型。一个完整的特征算子集连同相应的特征值被找到。格林函数和相关函数是根据要自洽地确定的有限组参数来写的。本文给出了一个程序，它允许我们在配位数为Z的Bethe晶格的情况下精确地确定未知参数。本文还提供了多达四个点的非局部关联函数，并对相关的热力学量进行了研究。
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英文标题：
《Equations of motion approach to the spin-1/2 Ising model on the Bethe
lattice》
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作者：
Ferdinando Mancini, Adele Naddeo
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最新提交年份：
2007
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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：Strongly Correlated Electrons 强关联电子
分类描述：Quantum magnetism, non-Fermi liquids, spin liquids, quantum criticality, charge density waves, metal-insulator transitions
量子磁学，非费米液体，自旋液体，量子临界性，电荷密度波，金属-绝缘体跃迁
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英文摘要：
We exactly solve the ferromagnetic spin-1/2 Ising model on the Bethe lattice in the presence of an external magnetic field by means of the equations of motion method within the Green's function formalism. In particular, such an approach is applied to an isomorphic model of localized Fermi particles interacting via an intersite Coulomb interaction. A complete set of eigenoperators is found together with the corresponding eigenvalues. The Green's functions and the correlation functions are written in terms of a finite set of parameters to be self-consistently determined. A procedure is developed, that allows us to exactly fix the unknown parameters in the case of a Bethe lattice with any coordination number z. Non-local correlation functions up to four points are also provided together with a study of the relevant thermodynamic quantities.
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PDF链接：
https://arxiv.org/pdf/706.1697
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