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.
(1) N´ eel layer anti-ferromagnet, withMj = Nj forj = 1, 2, 3
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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.