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  • Letter
  • Open Access

Fate of density waves in the presence of a higher-order van Hove singularity

Alkistis Zervou1, Dmitry V. Efremov1,2, and Joseph J. Betouras1

  • 1Department of Physics and Centre for the Science of Materials, Loughborough University, Loughborough LE11 3TU, United Kingdom
  • 2Leibniz Institute for Solid State and Materials Research Dresden, Helmholtzstrasse 20, D-01069 Dresden, Germany

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Phys. Rev. Research 5, L042006 – Published 5 October, 2023

DOI: https://doi.org/10.1103/PhysRevResearch.5.L042006

Abstract

Topological transitions in electronic band structures, resulting in van Hove singularities in the density of states, can considerably affect various types of orderings in quantum materials. Regular topological transitions (of neck formation or collapse) lead to a logarithmic divergence of the electronic density of states (DOS) as a function of energy in two dimensions. In addition to the regular van Hove singularities, there are higher-order van Hove singularities (HOVHS) with a power-law divergence in DOS. By employing renormalization group techniques, we study the fate of a spin-density wave phase formed by nested parts of the Fermi surface, when a HOVHS appears in parallel. We find that the phase formation can be boosted by the presence of the singularity, with the critical temperature increasing by orders of magnitude, under certain conditions. We discuss possible applications of our findings to a range of quantum materials such as Sr3Ru2O7, Sr2RuO4, and transition metal dichalcogenides.

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Outline

Information

Phys. Rev. Research 5, L042006– Published 5 October, 2023
  • Received 27 May 2022
  • Revised 7 May 2023
  • Accepted 19 September 2023
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