哈伯德模型的保真度方法
The fidelity approach to the Hubbard model
摘要：
利用量子临界点的保真度方法研究了一维哈伯德模型的零温相图。使用各种分析和数值技术，我们分析了在相图的各个区域的保真度度量，特别是照顾到的临界点。具体来说，我们表明，接近莫特过渡，发生在现场排斥U=0和电子密度n=1，保真度度量满足超标度形式，我们计算。这意味着，一般来说，当接近临界点U=0，n=1时，保真度度量趋向于取决于接近路径的极限。在半填充时，当U被发送为零时，保真度度量预期发散为U^{-4}。
英文摘要：
We use the fidelity approach to quantum critical points to study the zero temperature phase diagram of the one-dimensional Hubbard model. Using a variety of analytical and numerical techniques, we analyze the fidelity metric in various regions of the phase diagram, with particular care to the critical points. Specifically we show that close to the Mott transition, taking place at on-site repulsion U=0 and electron density n=1, the fidelity metric satisfies an hyper-scaling form which we calculate. This implies that in general, as one approaches the critical point U=0, n=1, the fidelity metric tends to a limit which depends on the path of approach. At half filling, the fidelity metric is expected to diverge as U^{-4} when U is sent to zero.
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