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

References in corpus (24)

• Advanced capabilities for materials modelling with Quantum ESPRESSO
• Isospin magnetism and spin-triplet superconductivity in Bernal bilayer graphene
• Rich Nature of Van Hove Singularities in Kagome Superconductor CsV${}_3$Sb${}_5$
• Strong spin-orbit coupling effects on the Fermi surface of Sr2RuO4 and Sr2RhO4
• Competing orders at higher-order Van Hove points
• Interpretation of scanning tunneling quasiparticle interference and impurity states in cuprates
• Metamagnetism of itinerant electrons in multi-layer ruthenates
• Zeeman-driven Lifshitz transition: A scenario for the Fermi-surface reconstruction in YbRh2Si2
• Determining the Surface-To-Bulk Progression in the Normal-State Electronic Structure of Sr2RuO4 by Angle-Resolved Photoemission and Density Functional Theory
• Tunable van Hove singularity without structural instability in Kagome metal CsTi${}_3$Bi${}_5$
• Effect of disorder on density of states and conductivity in higher order van Hove singularities in two dimensional bands
• Quasiparticle Interference of the van-Hove singularity in Sr${}_2$RuO${}_4$
• High-order Van Hove singularities and their connection to flat bands
• Universality of scanning tunneling microscopy in cuprate superconductors
• Compass-like manipulation of electronic nematicity in Sr${}_3$Ru${}_2$O${}_7$
• Signatures of a surface spin-orbital chiral metal
• Hierarchy of Lifshitz transitions in the surface electronic structure of Sr${}_2$RuO${}_4$ under uniaxial compression
• Electric field driven octahedral rotation in perovskite
• A practical method to detect, analyse and engineer higher order Van Hove singularities in multi-band Hamiltonians
• On the nature of quasiparticle interference in three dimensions
• Spin-orbit coupling induced Van Hove singularity in proximity to a Lifshitz transition in Sr${}_4$Ru${}_3$O${}_{10}$
• Catalogue of Flat-Band Stoichiometric Materials
• Fate of density waves in the presence of a higher order van Hove singularity
• Atomic-scale imaging of emergent order at a magnetic-field-induced Lifshitz transition

Cited by in corpus (12)

• 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