On the engineering of higher-order Van Hove singularities in two dimensions

Abstract

The properties of correlated electron materials are often intricately linked to Van Hove singularities (VHS) in the vicinity of the Fermi energy. The class of these VHS is of great importance, with higher-order ones -- with power-law divergence in the density of states -- leaving frequently distinct signatures in physical properties. We use a new theoretical method to detect and analyse higher-order VHS (HOVHS) in two-dimensional materials and apply it to the electronic structure of the surface layer of Sr${}_2$RuO${}_4$. We then constrain a low energy model of the VHS of the surface layer of Sr${}_2$RuO${}_4$ against angle-resolved photoemission spectroscopy and quasiparticle interference data to analyse the VHS near the Fermi level. We show how these VHS can be engineered into HOVHS.

Version appeared in Nature Communications

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• High-order Van Hove singularities and their connection to flat bands
• Conditions for orbital selective altermagnetism in Sr${}_2$RuO${}_4$: tight binding model, similarities with cuprates and implications on superconductivity
• calcQPI: A versatile tool to simulate quasiparticle interference
• Emergent exchange-driven giant magnetoelastic coupling in a correlated itinerant ferromagnet
• Designing Topological High-Order Van Hove Singularities: Twisted Bilayer Kagomé
• Probing moiré electronic structures through quasiparticle interference
• Brightening dark excitons and trions in systems with a Mexican-hat energy dispersion: example of InSe
• Optical and acoustic plasmons in the layered material Sr${}_2$RuO${}_4$
• Kekulé order from diffuse nesting near higher-order Van Hove points
• Enhanced superconductivity in atomically thin noble metals: From quantum confinement to interface-induced Lifshitz transition
• Anisotropic scattering rates in strain-tuned Sr${}_2$RuO${}_4$
• Triplet superconductivity supported by an X${}_9$ high-order Van Hove singularity