In quadratic band touching fermionic systems, vortex cores support color-degenerate competing orders from SO(5) mass algebra splitting zero modes, while skyrmions allow additional Kekule or s-wave orders.
(13) Then the vortex Hamiltonian, defined as H Nam vor =H Nam 0 (k→−i∇) +Mvor(x), (14) supports four zero-energy modes
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Color degeneracy of competing orders near topological defects cores in planar quadratic band touching systems
In quadratic band touching fermionic systems, vortex cores support color-degenerate competing orders from SO(5) mass algebra splitting zero modes, while skyrmions allow additional Kekule or s-wave orders.