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Degeneracy (exceptional) points embedded in energy band are distinct by theirtopological features. We report different hybrid two-state coalescences (EP2s)formed through merging two EP2s with opposite chiralities that created from thetype III Dirac points emerging from a flat band. The band touching hybrid EP2,which is isolated, is induced by the destructive interference at the propermatch between non-Hermiticity and synthetic magnetic flux. The degeneracypoints and different types of exceptional points are distinguishable by theirtopological features of global geometric phase associated with the scalingexponent of phase rigidity. Our findings not only pave the way of merging EPsbut also shed light on the future investigations of non-Hermitian topologicalphases.

Hybrid exceptional point created from type III Dirac point