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The diamagnetic drift effects on the low-$n$ magnetohydrodynamicinstabilities at the high-mode (H-mode) pedestal are investigated in this paperwith the inclusion of bootstrap current for equilibrium and rotation effectsfor stability, where $n$ is the toroidal mode number. The AEGIS (AdaptiveEiGenfunction Independent Solutions) code [L. J. Zheng, M. T. Kotschenreuther,J. Comp. Phys. {\bf 211}, (2006)] is extended to include the diamagnetic drifteffects. This can be viewed as the lowest order approximation of the finiteLarmor radius effects in consideration of the pressure gradient steepness atthe pedestal. The H-mode discharges at Jointed European Torus (JET) isreconstructed numerically using the VMEC code [P. Hirshman and J. C. Whitson,Phys. Fluids {\bf 26}, 3553 (1983)], with bootstrap current taken into account.Generally speaking, the diamagnetic drift effects are stabilizing. Our resultsshow that the effectiveness of diamagnetic stabilization depends sensitively onthe safe factor value ($q_s$) at the safety-factor reversal or plateau region.The diamagnetic stabilization are weaker, when $q_s$ is larger than an integer;while stronger, when $q_s$ is smaller or less larger than an integer. We alsofind that the diamagnetic drift effects also depend sensitively on the rotationdirection. The diamagnetic stabilization in the co-rotation case is strongerthan in the counter rotation case with respect to the ion diamagnetic driftdirection.

Diamagnetic drift effects on the low-n magnetohydrodynamic modes at the high mode pedestal with plasma rotation