A unified classification of 3D Van Hove singularities (ordinary M-type, higher-order T-types, noncritical N-types, and S-types) is established and realized by tuning hopping in an s-orbital pyrochlore model with spin-orbit coupling.
2.Representative noncritical VHSs.(a)-(e) Fermi surfaces for ordinary noncritical (N 0,N 1,N 2) and higher- order noncritical (S 1,S 2) types
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Directional Criticality and Higher-Order Flatness: Designing Van Hove Singularities in Three Dimensions
A unified classification of 3D Van Hove singularities (ordinary M-type, higher-order T-types, noncritical N-types, and S-types) is established and realized by tuning hopping in an s-orbital pyrochlore model with spin-orbit coupling.