摘要翻译：
我们考虑SU(2)单重态的价键物理最简单的推广到包含N个位点的物体的SU(N)单重态--它们是在三维空间中N=3和N=4的SU(N)单重态板。具体地说，我们寻找这类物体的量子力学液体--共振单重态价层相，它推广了SU(2)自旋的著名共振价键相。我们将量子二聚体模型的Rokhsar-Kivelson结构推广到立方晶格价层动力学的最简单的SU(4)模型。对所得量子板模型的相图进行了解析和数值分析。我们发现基态在任何地方都是固体，包括在Rokhsar-Kivelson点，那里的基态是一个相等的振幅和。相反，面心立方晶格上的SU(3)单重三角板的等振幅和是液体的，因此，在适当定义局部哈密顿量的情况下，它是描述共振单价板相的候选形式。
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英文标题：
《Resonating singlet valence plaquettes》
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作者：
S. Pankov, R. Moessner, S. L. Sondhi
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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：
  We consider the simplest generalizations of the valence bond physics of SU(2) singlets to SU(N) singlets that comprise objects with N sites -- these are SU(N) singlet plaquettes with N=3 and N=4 in three spatial dimensions. Specifically, we search for a quantum mechanical liquid of such objects -- a resonating singlet valence plaquette phase that generalizes the celebrated resonating valence bond phase for SU(2) spins. We extend the Rokhsar-Kivelson construction of the quantum dimer model to the simplest SU(4) model for valence plaquette dynamics on a cubic lattice. The phase diagram of the resulting quantum plaquette model is analyzed both analytically and numerically. We find that the ground state is solid everywhere, including at the Rokhsar-Kivelson point where the ground state is an equal amplitude sum. By contrast, the equal amplitude sum of SU(3) singlet triangular plaquettes on the face centered cubic lattice is liquid and thus a candidate for describing a resonating single valence plaquette phase, given a suitably defined local Hamiltonian.
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PDF链接：
https://arxiv.org/pdf/705.0846