Topological Lifshitz transitions

TL;DR

This paper reviews various Lifshitz transitions driven by changes in the topology of electronic structures in momentum space, including Fermi surfaces, Weyl and Dirac points, and nodal lines.

Contribution

It provides a comprehensive overview of the different types of topological Lifshitz transitions and their significance in condensed matter physics.

Findings

Classification of Lifshitz transitions based on topology

Examples of topological changes in electronic structures

Implications for material properties and phase transitions

Abstract

Different types of Lifshitz transitions are governed by topology in momentum space. They involve the topological transitions with the change of topology of Fermi surfaces, Weyl and Dirac points, nodal ines, and also the transitions between the fully gapped states.