Quaternary Heusler Alloy: An Ideal Platform to Realize Triple Point Fermion

Abstract

The existence of three fold rotational, mirror and time reversal symmetries often give rise to the triply degenerate nodal point (TP) in the band structure of a material. Based on point group symmetry analysis and first principle electronic structure, we predict, in this article, a series of quaternary Heusler alloys host an ideal platform for the occurrence of TP. We simulated, the projection of these TPs onto the (111) and (100) surfaces lead to form topological Fermi arcs, which may further be detected by scanning tunneling spectroscopy and angle resolved photoemission spectroscopy. These Fermi arcs arise due to the symmetry protected band degeneracies, which are robust and can not be avoided due to the non-trivial band topology. Interestingly the TPs, in these class of Heusler alloys are far away from the $\Gamma$ point along C${}_3$ axes, which allow to overcome the experimental difficulties over previously studied hexagonal and HgTe-type compounds.

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• Impurity-induced triple point fermions in twisted bilayer graphene
• Coexistience of phononic six-fold, four-fold and three-fold excitations in ternary antimonide Zr3Ni3Sb4
• Band splitting induced Berry flux and intrinsic anomalous Hall conductivity in NiCoMnGa quaternary Heusler compound
• Symmetry protection and giant Fermi arcs from multifold fermions in binary, ternary, and quaternary compounds
• Symmetry driven topological phases in XAgBi (X=Ba,Sr): An Ab-initio hybrid functional calculations
• Structure, physical properties, and magnetically tunable topological phases in topological semimetal EuCuBi
• SU(3) fermions in a three-band Graphene-like model
• Punctured-Chern topological invariants for semi-metallic bandstructures
• Unique Dirac and Triple point fermiology in simple transition metals and their binary alloys
• Unremovable linked nodal structures protected by crystalline symmetries in stacked bilayer graphene with Kekulé texture