Dear Subrata,
Thank you for your question.
Unfortunately, we found a bug in the exciton wavefunction routine in VASP 6.4.3, which can lead to the wavefunction localization being underestimated with vasp_std
if the hole/electron is not fixed at the coordinate origin (0,0,0), which is the case for your calculation. This problem was resolved in VASP 6.5.0. I'm sorry for the inconvenience caused by this issue.
Also, note that the lowest bright exciton is doubly degenerate in your system, so for visualizing the exciton charge density the two eigenvectors should be added.
Here, I have performed a calculation with your job.sh
script for (9,9,1) Gamma-centered k-mesh with VASP 6.5.0.
pic.png
Let me know if you can't reproduce this result.
Best wishes,
Alexey
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