摘要翻译：
由q种局域费米粒子通过电荷关联相互作用建立的费米子模型与自旋q/2伊辛模型同构。然而，等价只是形式上的，两个系统表现出不同的物理行为。通过考虑Q=1的Bethe格，我们精确地求解了模型。存在一个临界温度，在该温度以下，第一个模型的粒子-空穴对称性和第二个模型的自旋对称性自发破裂。自旋系统总是稳定的，在T_{c}以下表现出均匀的铁磁相，而对于t<T_{c}的费米子系统由于电荷分离而形成不均匀相而不稳定。
---
英文标题：
《Fermionic systems with charge correlations on the Bethe lattice》
---
作者：
Ferdinando Mancini, Adele Naddeo
---
最新提交年份：
2007
---
分类信息：

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
--
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
--

---
英文摘要：
  A fermionic model, built up of q species of localized Fermi particles, interacting by charge correlations, is isomorphic to a spin-q/2 Ising model. However, the equivalence is only formal and the two systems exhibit a different physical behavior. By considering a Bethe lattice with q=1, we have exactly solved the models. There exists a critical temperature below which there is a spontaneous breakdown of the particle-hole symmetry for the first model, and of the spin symmetry for the second. While the spin system is always stable and exhibits a homogeneous ferromagnetic phase below T_{c}, the fermionic system for T<T_{c} is unstable against the formation of inhomogeneous phases with charge separation.
---
PDF链接：
https://arxiv.org/pdf/710.5842