论文标题
莫特(Mott)在半填充三角晶格哈伯德模型中的过渡,widom线和伪
Mott transition, Widom line and pseudogap in the half-filled triangular lattice Hubbard model
论文作者
论文摘要
在磁性挫败的材料中观察到莫特过渡,以使远距离顺序不会在有限温度下隐藏莫特过渡。半填充时三角晶格上的哈伯德模型是研究正常状态相图上相互作用和挫败感的相互作用的范式模型。我们使用连续时间辅助场量子Carlo使用动态群集近似,以解决该模型的1、4、6、12和16个位点簇,并针对6个站点群集进行了详细的分析。我们表明a)对于每个群集,双重占用率是相互作用的函数,定义了一条延伸的宽线,该线延伸到一阶Mott Transition的临界点上方; b)这条线的存在和簇大小的依赖性表明在热力学极限下有限温度下的莫特过渡的可观察性; c)金属中光谱重量的损失是莫特绝缘子转变随温度和强相互作用的函数,这是动量依赖性的,这是伪gap的标志。该伪层跨越莫特过渡附近的相图的大区域。
The Mott transition is observed experimentally in materials that are magnetically frustrated so that long-range order does not hide the Mott transition at finite temperature. The Hubbard model on the triangular lattice at half-filling is a paradigmatic model to study the interplay of interactions and frustration on the normal-state phase diagram. We use the dynamical cluster approximation with continuous time auxiliary field quantum Monte Carlo to solve this model for 1, 4, 6, 12, and 16 site clusters with detailed analysis performed for the 6 site cluster. We show that a) for every cluster there is an inflection point in the double occupancy as a function of interaction, defining a Widom line that extends above the critical point of the first-order Mott transition; b) the presence of this line and the cluster size dependence argue for the observability of the Mott transition at finite temperature in the thermodynamic limit; c) the loss of spectral weight in the metal to Mott insulator transition as a function of temperature and for strong interactions is momentum dependent, the hallmark of a pseudogap. That pseudogap spans a large region of the phase diagram near the Mott transition.