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.
The five sets of four mutually anticommuting masses are { N1, SH3, K1 E, K1 O } , { N2, SH3, K2 E, K2 O } , { KE, KO, N1, N2} , { LP, KE, K1 O, K2 O } , { LP, KO, K1 E, K2 E }
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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.