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Single monkey-saddle singularity of a Fermi surface and its instabilities
Paul Scherrer Inst, Condensed Matter Theory Grp, CH-5232 Villigen, Switzerland..
Loughborough Univ, Dept Phys, Loughborough LE11 3TU, England..
KTH, School of Engineering Sciences (SCI), Physics, Condensed Matter Theory.ORCID iD: 0000-0003-4742-775X
Univ Zurich, Winterthurerstr 190, CH-8057 Zurich, Switzerland..
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2023 (English)In: Physical Review B, ISSN 2469-9950, E-ISSN 2469-9969, Vol. 107, no 20, article id 205129Article in journal (Refereed) Published
Abstract [en]

Fermi surfaces can undergo sharp transitions under smooth changes of parameters. Such transitions can have a topological character, as is the case when a higher-order singularity, one that requires cubic or higher-order terms to describe the electronic dispersion near the singularity, develops at the transition. When time-reversal and inversion symmetries are present, odd singularities can only appear in pairs within the Brillouin zone. In this case, the combination of the enhanced density of states that accompanies these singularities and the nesting between the pairs of singularities leads to interaction-driven instabilities. We present examples of single n = 3 (monkeysaddle) singularities when time-reversal and inversion symmetries are broken. We then turn to the question of what instabilities are possible when the singularities are isolated. For spinful electrons, we find that the inclusion of repulsive interactions destroys any isolated monkey-saddle singularity present in the noninteracting spectrum by developing Stoner or Lifshitz instabilities. In contrast, for spinless electrons and at the mean-field level, we show that an isolated monkey-saddle singularity can be stabilized in the presence of short-range repulsive interactions.

Place, publisher, year, edition, pages
American Physical Society (APS) , 2023. Vol. 107, no 20, article id 205129
National Category
Condensed Matter Physics
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URN: urn:nbn:se:kth:diva-329874DOI: 10.1103/PhysRevB.107.205129ISI: 000995755800003Scopus ID: 2-s2.0-85161126156OAI: oai:DiVA.org:kth-329874DiVA, id: diva2:1774453
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QC 20230626

Available from: 2023-06-26 Created: 2023-06-26 Last updated: 2023-06-26Bibliographically approved

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Tiwari, Apoorv

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