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The existence of kinetic ballooning mode (KBM) high order (non-ground)eigenstates for tokamak plasmas with steep gradient is demonstrated viagyrokinetic electromagnetic eigenvalue solutions, which reveals that eigenmodeparity transition is an intrinsic property of electromagnetic plasmas. Theeigenstates with quantum number $l=0$ for ground state and $l=1,2,3\ldots$ fornon-ground states are found to coexist and the most unstable one can be thehigh order states ($l\neq0$). The conventional KBM is the $l=0$ state. It isshown that the $l=1$ KBM has the same mode structure parity as themicro-tearing mode (MTM). In contrast to the MTM, the $l=1$ KBM can be drivenby pressure gradient even without collisions and electron temperature gradient.The relevance between various eigenstates of KBM under steep gradient and edgeplasma physics is discussed.

Kinetic Ballooning Mode Under Steep Gradient: High Order Eigenstates and Mode Structure Parity Transition