Thank you very much, professor Kstokbro, I am sincerely appreciate your help. And your affirmation about the results makes me so excited.
Exactly, I've tried to find out the differences of the affected orbitals(LUMO&HOMO-2) and those not(HOMO&LUMO+2). But the MPSHs didnot show many remarkable differences, only HOMO-2 showed a difference of localized degree. And I also have tried to look into the differences of LDOS, PDOS, Effective Potential and electrostatic difference potential, Mulliken Population etc. before and after the jumps, but seems all fail to explain such phenomenon.
And I followed by your advice to calculate the voltage drop, as seen in attachment, since I am not quite familiar with voltage drop, Dear Kstokbro, do you think whether it might tell something?
"I noted that the effect seems to be related with the HOMO entering the bias window. In this case the occupation of the Homo might drop and instead the occupation of the LUMO and LUMO+1 could increase."
I don't quite understand this, because the HOMO has already entered into bias window before the jumps occur, in my GGA calculation, this jumps shift to ±1.55 V to ±1.60 V, while the HOMO still entered into bias window at ~±1.2V. So, I am anticipating your profound interpretation.
Thank you again for you kindly help!