Disorder in Weyl semimetals and superconductors is surprisingly subtle, attracting attention and competing theories in recent years. In this brief review, we discuss the current theoretical understanding of the effects of short-ranged, quenched disorder on the low energy-properties of three-dimensional, topological Weyl semimetals and superconductors. We focus on the role of non-perturbative rare region effects on destabilizing the semimetal phase and rounding the expected semimetal-to-diffusive metal transition into a cross over. Furthermore, the consequences of disorder on the resulting nature of excitations, transport, and topology are reviewed. New results on a bipartite random hopping model are presented that confirm previous results in a $p+ip$ Weyl superconductor, demonstrating that particle-hole symmetry is insufficient to help stabilize the Weyl semimetal phase in the presence of disorder. The nature of the avoided transition in a model for a single Weyl cone in the continuum is discussed. We close with a discussion of open questions and future directions.

魏尔半金属和超导体的异常令人惊讶地微妙，近年来引起了人们的关注和相互竞争的理论。在这篇简短的综述中，我们讨论了对短程淬火无序对三维拓扑Weyl半金属和超导体的低能特性影响的当前理论理解。我们专注于非扰动稀有区域效应在使半金属相稳定并使预期的半金属向扩散金属过渡成四舍五入的过程中的作用。此外，审查了无序对激发，传输和拓扑的最终性质的影响。提出了二部随机跳跃模型的新结果，证实了以前的结果。$p+\mathrm{一世}p$Weyl超导体，证明在存在无序情况下，粒子-孔对称性不足以帮助稳定Weyl半金属相。讨论了连续体中单个Weyl锥的模型中避免的跃迁的性质。最后，我们讨论了未解决的问题和未来的方向。