Magic of high order van Hove singularity

Abstract

We introduce a new type of van Hove singularity in two dimensions, where a saddle point in momentum space is changed from second-order to high-order. Correspondingly, the density of states near such ``high-order van Hove singularity'' is significantly enhanced from logarithmic to power-law divergence, which promises stronger electron correlation effects. High-order van Hove singularity can be generally achieved by tuning the band structure with a single parameter in moiré superlattices, such as twisted bilayer graphene by tuning twist angle or applying pressure, and trilayer graphene by applying vertical electric field.

8 pages and 4 figures, figs. 1, 2 and 3 updated and Supplemental Material added

References in corpus (10)

• Magic Angle Spectroscopy
• Imaging Electronic Correlations in Twisted Bilayer Graphene near the Magic Angle
• Continuum Model of the Twisted Bilayer
• Lattice relaxation and energy band modulation in twisted bilayer graphenes
• Superlattice-induced insulating states and valley-protected orbits in twisted bilayer graphene
• An exact continuum model for low-energy electronic states of twisted bilayer graphene
• Designing Flat Band by Strain
• Electronic Compressibility of Magic-Angle Graphene Superlattices
• Fermi surface and van Hove singularities in the itinerant metamagnet Sr3Ru2O7
• SU(2)-invariant spin liquids on the triangular lattice with spinful Majorana excitations

Cited by in corpus (96)

• Rich Nature of Van Hove Singularities in Kagome Superconductor CsV${}_3$Sb${}_5$
• Complex charge density waves at Van Hove singularity on hexagonal lattices: Haldane-model phase diagram and potential realization in kagome metals ${\text{AV}}_3{\text{Sb}}_5$
• Band topology, Hubbard model, Heisenberg model, and Dzyaloshinskii-Moriya interaction in twisted bilayer WSe${}_2$
• Band structure and insulating states driven by the Coulomb interaction in twisted bilayer graphene
• Nematic superconductivity in twisted bilayer graphene
• Hartree-Fock study of the moiré Hubbard model for twisted bilayer transition metal dichalcogenides
• Excited-state quantum phase transitions
• Theory of Photon Condensation in a Spatially-Varying Electromagnetic Field
• Unconventional superconductivity in systems with annular Fermi surfaces: Application to rhombohedral trilayer graphene
• Magnetotransport of dirty-limit van Hove singularity quasiparticles
• Simulating twistronics without a twist
• Classification of Critical Points in Energy Bands Based on Topology, Scaling and Symmetry
• Spin-twisted Optical Lattices: Tunable Flat Bands and Larkin-Ovchinnikov Superfluids
• Catastrophe theory classification of Fermi surface topological transitions in two dimensions
• Topological and nematic superconductivity mediated by ferro-SU(4) fluctuations in twisted bilayer graphene
• Valley magnetism, nematicity, and density wave orders in twisted bilayer graphene
• Multilayer graphenes as a platform for interaction-driven physics and topological superconductivity
• Higher-order van Hove singularity in magic-angle twisted trilayer graphene
• Ferromagnetism and superconductivity in twisted double bilayer graphene
• Dynamical Mean Field Theory of Moiré Bilayer Transition Metal Dichalcogenides: Phase Diagram, Resistivity, and Quantum Criticality
• Crucial role of out-of-plane Sb-$p$ orbitals in Van Hove singularity formation and electronic correlation for superconducting Kagome metal CsV${}_3$Sb${}_5$
• Parquet renormalization group analysis of weak-coupling instabilities with multiple high-order Van Hove points inside the Brillouin zone
• Thermometry of Strongly Correlated Fermionic Quantum Systems using Impurity Probes
• Transport across twist angle domains in moiré graphene
• Unconventional superconductivity due to interband polarization
• Degradation of phonons in disordered moiré superlattices
• Orbital susceptibility of T-graphene: Interplay of high-order van Hove singularities and Dirac cones
• Electronic Landscape of Kagome Superconductors $\text{A}$V${}_3$Sb${}_5$ ($\text{A}$ = K, Rb, Cs) from Angle-Resolved Photoemission Spectroscopy
• Monolayer Kagome Metals AV${}_3$Sb${}_5$
• High-order Van Hove singularities and their connection to flat bands
• Classification of Topological Phase Transitions and van Hove Singularity Steering Mechanism in Graphene Superlattices
• Pair density wave and loop current promoted by van Hove singularities in moiré systems
• SU(4) symmetry in twisted bilayer graphene - an itinerant perspective
• Moiré lattice effects on the orbital magnetic response of twisted bilayer graphene and Condon instability
• Emergence of Chern Supermetal and Pair-Density Wave through Higher-Order Van Hove Singularities in the Haldane-Hubbard Model
• Quasiparticles, Flat Bands, and the Melting of Hydrodynamic Matter
• Infrared Plasmons Propagate through a Hyperbolic Nodal Metal
• Coexistence of near-EF flat band and van Hove singularity in a two-phase superconductor
• Designer Meron Lattice on the Surface of a Topological Insulator
• Archetypical "push the band critical point" mechanism for peaking of the density of states in three-dimensional crystals: Theory and case study of cubic H${}_3$S
• Fractional Chern Insulators in Twisted Bilayer MoTe${}_2$: A Composite Fermion Perspective
• Hole-Doping Effect on Superconductivity in Compressed CeH${}_9$ at High Pressure
• On the engineering of higher-order Van Hove singularities in two dimensions
• Realization of Practical Eightfold Fermions and Fourfold van Hove Singularity in TaCo${}_2$Te${}_2$
• Kondo effect in twisted bilayer graphene
• Topological and nodal superconductor kagome magnesium triboride
• Tuning Superconductivity and Charge Density Wave Order in 2H-TaSe2 by Modulating the Van Hove Singularity
• Valley-polarized nematic order in twisted moiré systems: In-plane orbital magnetism and non-Fermi liquid to Fermi liquid crossover
• Half-metallic ferromagnetism in layered CdOHCl induced by hole doping
• Anomalous continuum scattering and higher-order van Hove singularity in the strongly anisotropic S = 1/2 triangular lattice antiferromagnet
• Theory of non-Hermitian fermionic superfluidity on a honeycomb lattice: Interplay between exceptional manifolds and van Hove Singularity
• Uniaxial strain tuning of charge modulation and singularity in a kagome superconductor
• Spin-orbit coupling induced Van Hove singularity in proximity to a Lifshitz transition in Sr${}_4$Ru${}_3$O${}_{10}$
• Enhanced nematicity emerging from higher-order van Hove singularities
• Doping fingerprints of spin and lattice fluctuations in moiré superlattice systems
• Nematicity-enhanced superconductivity in systems with a non-Fermi liquid behavior
• Electronic Structure and Kohn-Luttinger Superconductivity of Heavily-Doped Single-Layer Graphene
• Detecting topological phases in the square-octagon lattice with statistical methods
• Theory of ARPES in Graphene-Based Moiré Superlattices
• Transport signatures of Van Hove singularities in mesoscopic twisted bilayer graphene
• The Crossover from Ordinary to Higher-Order van Hove Singularity in a Honeycomb System: A Parquet Renormalization Group Analysis
• Pairing at a single Van Hove point
• Engineering spectral properties of non-interacting lattice Hamiltonians
• Giant density-of-states van Hove singularities in the face-centered cubic lattice
• Fate of density waves in the presence of a higher order van Hove singularity
• Valley splitter and transverse valley focusing in twisted bilayer graphene
• Chiral SO(4) spin-valley density wave and degenerate topological superconductivity in magic-angle-twisted bilayer-graphene
• Three-dimensional higher-order saddle points induced flat bands in Co-based kagome metals
• Effect of Van Hove singularities on Shiba states in two-dimensional $s$-wave superconductors
• Single monkey-saddle singularity of a Fermi surface and its instabilities
• Higher-Order Van Hove Singularities in Kagome Topological Bands
• Charge and spin correlations in insulating and incoherent metal states of twisted bilayer graphene
• Strange metal phase of disordered magic-angle twisted bilayer graphene at low temperatures: from flatbands to weakly coupled Sachdev-Ye-Kitaev bundles
• Semiclassical transport with Berry curvature: Chambers formula and applications to systems with Fermi surface topological transitions
• Photoemission Insights to Electronic Orders in Kagome Superconductor AV3Sb5
• High-order van Hove singularities and nematic instability in the kagome superconductor CsTi${}_3$Bi${}_5$
• Inversion and Tunability of Van Hove Singularities in $A$V${}_3$Sb${}_5$ ($A$ = K, Rb, and Cs) kagome metals
• Landau quantization near generalized Van Hove singularities: Magnetic breakdown and orbit networks
• Differential entropy per particle as a probe of van Hove singularities and flat bands
• Robust topological superconductivity in spin-orbit coupled systems at higher-order van Hove filling
• Fractal non-Fermi liquids from moiré-Hofstadter phonons
• Stacking-Dependent Van Hove Singularity Shifts in Three-Dimensional Charge Density Waves of Kagome Metals AV${}_3$Sb${}_5$ (A = K, Rb, Cs)
• RKKY quadratic and biquadratic spin-spin interactions in twisted bilayer graphene
• Moiré surface states and enhanced superconductivity in topological insulators
• Visualizing near-coexistence of massless Dirac electrons and ultra-massive saddle point electrons
• Topological phases, van Hove singularities, and spin texture in magic-angle twisted bilayer graphene in the presence of proximity-induced spin-orbit couplings
• Illuminating the Bragg intersections as roots of Dirac nodal lines and high-order van Hove singularities
• Kekulé order from diffuse nesting near higher-order Van Hove points
• Tailoring higher-order van Hove singularities in non-Hermitian interface systems via Floquet engineering
• Magic angle and plasmon mode engineering in twisted trilayer graphene with pressure
• Evidence for a square-square vortex lattice transition in a high-$T_{\text{c}}$ cuprate superconductor
• Magnetic fluctuation and dominant superconducting pairing symmetry near the tunable Van Hove singularity
• Exceptional van Hove Singularities in Pseudogapped Metals
• Triplet superconductivity supported by an X${}_9$ high-order Van Hove singularity
• Anisotropic scattering rates in strain-tuned Sr${}_2$RuO${}_4$
• Weak localization and universal conductance fluctuations in large area twisted bilayer graphene