It has long been thought that strongly correlated systems are adiabatically connected to their non-interacting counterpart. Recent developments have highlighted the fallacy of this traditional notion in a variety of settings. In this Review, we use a class of strongly correlated electron systems to illustrate the type of quantum phases and fluctuations that are created by strong correlations. Examples include quantum critical states that violate the Fermi liquid paradigm, unconventional superconductivity that goes beyond the Bardeen–Cooper–Schrieffer framework, and topological semimetals induced by the Kondo interaction. We assess the prospects for designing other exotic phases of matter by using alternative degrees of freedom or alternative interactions, and discuss the potential of these correlated states for quantum technology.

长期以来，人们一直认为强相关的系统绝热地连接到它们的非交互系统。最近的发展突显了这种传统观念在各种情况下的谬误。在本综述中，我们使用一类高度相关的电子系统来说明量子相的类型和由强相关性产生的涨落。例子包括违反费米液体范式的量子临界状态，超越Bardeen-Cooper-Schrieffer框架的非常规超导性，以及由Kondo相互作用诱导的拓扑半金属。我们通过使用替代性的自由度或替代性的相互作用来评估设计其他奇异相的前景，并讨论这些相关态对于量子技术的潜力。