在强关联电子系统中，这种杂质量子状态的改变，即所谓杂质量子相变，可以导致出现复杂的非费米液体行为。
This kind of impurity quantum phase transition is of particularly significant in understanding the non-Fermi Liquid behavior in a large number of strongly correlated electron systems.
对于一维电子系统来说费米液体理论也不是一个好的模型，因为当应用多体微扰讨论时有红外发散，使这种最常用的方法失效了。
But it's not a much appropriate model on one-dimensional systems because of infrared divergences when many-body pertebation theory is used, thus this normal solution failed.
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