用精确量子Monte Carlo方法确定二维Mott伪跃迁的命运
Deciding the fate of the false Mott transition in two dimensions by exact quantum Monte Carlo methods
摘要：
本文提出了一种计算量子晶格模型的无偏格林函数和自能的算法，该算法没有系统误差，并且在热力学极限内是有效的。该方法结合了直接晶格模拟使用Blankenbecler Scalapino-Sugar量子蒙特卡罗（BSS-QMC）方法与控制多重网格外推技术。我们表明，半填充哈伯德模型是绝缘的，在低温下，即使在弱耦合制度，先前声称的莫特过渡在中间耦合不存在。
英文摘要：
We present an algorithm for the computation of unbiased Green functions and self-energies for quantum lattice models, free from systematic errors and valid in the thermodynamic limit. The method combines direct lattice simulations using the Blankenbecler Scalapino-Sugar quantum Monte Carlo (BSS-QMC) approach with controlled multigrid extrapolation techniques. We show that the half-filled Hubbard model is insulating at low temperatures even in the weak-coupling regime; the previously claimed Mott transition at intermediate coupling does not exist.
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