Exotic Lifshitz transitions in topological materials

G. E. Volovik*

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

41 Citations (Scopus)


Topological Lifshitz transitions involve many types of topological structures in momentum and frequency-momentum spaces, such as Fermi surfaces, Dirac lines, Dirac and Weyl points, etc., each of which has its own stability-supporting topological invariant (N1, N2, N3, N3, etc.). The topology of the shape of Fermi surfaces and Dirac lines and the interconnection of objects of different dimensionalities produce a variety of Lifshitz transition classes. Lifshitz transitions have important implications for many areas of physics. To give examples, transition-related singularities can increase the superconducting transition temperature; Lifshitz transitions are the possible origin of the small masses of elementary particles in our Universe, and a black hole horizon serves as the surface of the Lifshitz transition between vacua with type-I and type-II Weyl points.

Original languageEnglish
Pages (from-to)89-98
Number of pages10
Issue number1
Publication statusPublished - 1 Jan 2018
MoE publication typeA1 Journal article-refereed


  • Black hole event horizon
  • Dirac point
  • Fermi surface
  • Topological Lifshitz transitions
  • Weyl point

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