# What is band inversion and how to recognize it in band structure?

Band inversion is a key ingredient of a topologically nontrivial material$$^1$$. What is band inversion? How to recognize it in a band structure? What conclusions can I infer if I observe band inversion in a material?

References

1. Zhiyong Zhu, Yingchun Cheng, and Udo Schwingenschlögl. "Band inversion mechanism in topological insulators: A guideline for materials design." Physical Review B 85 235401 (2012).