摘要翻译：
我们确定了在二部正方形和立方晶格以及非二部三角形晶格上的Rokhsar-Kivelson点上量子二聚体模型的动力学关联函数。基于Henley的算法思想，我们模拟了经典二聚体构型在连续时间内的随机过程，并进行了随机解析延拓，得到了动量空间和频域内的动力学关联。这种方法使我们可以直接观察到单模近似下布里渊区内的色散关系和光谱强度的演化。在正方形晶格上，我们证实了与靠近波矢量(pi，pi)和(pi，0)的软模有关的解析预言，并进一步揭示了靠近波矢量(0，0)的阴影带的存在。在立方晶格上，谱也是无隙的，但这里只发现了一个(pi，pi，pi)的单模近似。在很长的波长下，软模具有二次色散，但很快过渡到线性色散。我们相信这是库仑相线性分散的“光子”的残余。最后，三角形晶格处于完全间隙的液相中，二聚体光谱的底部呈现出丰富的结构。在M点，间隙最小，光谱响应由一个尖锐的准粒子峰主导。另一方面，在X点，谱函数要宽得多。我们根据相干二聚体激发与双视子连续统的交叉给出了一个可能的解释。
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英文标题：
《Dynamical dimer correlations at bipartite and non-bipartite
  Rokhsar-Kivelson points》
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作者：
A. Laeuchli, S. Capponi, F.F. Assaad
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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：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 determine the dynamical dimer correlation functions of quantum dimer models at the Rokhsar-Kivelson point on the bipartite square and cubic lattices and the non-bipartite triangular lattice. Based on an algorithmic idea by Henley, we simulate a stochastic process of classical dimer configurations in continuous time and perform a stochastic analytical continuation to obtain the dynamical correlations in momentum space and the frequency domain. This approach allows us to observe directly the dispersion relations and the evolution of the spectral intensity within the Brillouin zone beyond the single-mode approximation. On the square lattice, we confirm analytical predictions related to soft modes close to the wavevectors (pi,pi) and (pi,0) and further reveal the existence of shadow bands close to the wavevector (0,0). On the cubic lattice the spectrum is also gapless but here only a single soft mode at (pi,pi,pi) is found, as predicted by the single mode approximation. The soft mode has a quadratic dispersion at very long wavelength, but crosses over to a linear behavior very rapidly. We believe this to be the remnant of the linearly dispersing "photon" of the Coulomb phase. Finally the triangular lattice is in a fully gapped liquid phase where the bottom of the dimer spectrum exhibits a rich structure. At the M point the gap is minimal and the spectral response is dominated by a sharp quasiparticle peak. On the other hand, at the X point the spectral function is much broader. We sketch a possible explanation based on the crossing of the coherent dimer excitations into the two-vison continuum.
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PDF链接：
https://arxiv.org/pdf/711.0752