摘要翻译：
采用频率矩展开法分析了Mott-Hubbard绝缘子中Luttinger和规则在半填充和大U$情况下的有效性，所述Mott-Hubbard绝缘子由广义Hubbard模型表示。对于缺少粒子-空穴对称性的三角形晶格上具有最近邻跳跃的Hubbard模型的特殊情况，结果揭示了和规则的严重违反。
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英文标题：
《Violation of the Luttinger sum rule within the Hubbard model on a
  triangular lattice》
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作者：
J. Kokalj and P. Prelovsek
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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：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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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：
  The frequency-moment expansion method is developed to analyze the validity of the Luttinger sum rule within the Mott-Hubbard insulator, as represented by the generalized Hubbard model at half filling and large $U$. For the particular case of the Hubbard model with nearest-neighbor hopping on a triangular lattice lacking the particle-hole symmetry results reveal substantial violation of the sum rule.
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PDF链接：
https://arxiv.org/pdf/709.0263