Exotic Lifshitz transitions in topological materials

Research output: Contribution to journalArticle


Research units

  • Landau Institute for Theoretical Physics
  • RAS - P.N. Lebedev Physics Institute


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

    Research areas

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

ID: 29253706