摘要翻译：
我们在不同的Husimi格上求解Edwards-Anderson模型(EA)。我们证明，在t=0时，解空间的结构依赖于循环大小的奇偶性。奇数环尺寸的Husimi晶格在1RSB扰动下总是有一个平凡的顺磁解稳定，而偶环尺寸的Husimi晶格则不存在此解。在1RSB扰动下，该解和其它RS解的稳定性范围被解析计算（可能时）或数值计算。在1RSB近似下计算了不同Husimi晶格的自由能、复杂度和基态能量。我们还表明，当铁磁耦合的比例增加时，首先存在从顺磁相到自旋玻璃相的不连续转变，然后存在从自旋玻璃相到铁磁相的连续转变。
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英文标题：
《Zero temperature solutions of the Edwards-Anderson model in random
  Husimi Lattices》
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作者：
A. Lage-Castellanos and R. Mulet
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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：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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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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英文摘要：
  We solve the Edwards-Anderson model (EA) in different Husimi lattices. We show that, at T=0, the structure of the solution space depends on the parity of the loop sizes. Husimi lattices with odd loop sizes have always a trivial paramagnetic solution stable under 1RSB perturbations while, in Husimi lattices with even loop sizes, this solution is absent. The range of stability under 1RSB perturbations of this and other RS solutions is computed analytically (when possible) or numerically. We compute the free-energy, the complexity and the ground state energy of different Husimi lattices at the level of the 1RSB approximation. We also show, when the fraction of ferromagnetic couplings increases, the existence, first, of a discontinuous transition from a paramagnetic to a spin glass phase and latter of a continuous transition from a spin glass to a ferromagnetic phase.
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PDF链接：
https://arxiv.org/pdf/708.1889