You still have no logical explanation for a soul with an atheist position, because atheism by nature disbelieves in supernatural forces.
How many times to I have to say it? To be an atheist requires only that you don't believe any any god. You can believe in a soul, afterlife, etc. without also believing in a god. Hence, belief in a soul, afterlife, etc. is perfectly compatible with atheism.
You can change the definition of atheism to preclude that, just don't expect that anyone will accept it.
I have read a whole lot of excellent philosophical works and named 3 authors, you can't name one and can't argue your own position.
You're right. I can't find anyone who both espouses your definition of atheism and argues that the belief in a soul is compatible with it.
Why? For the same reason that I can't find a geologist who argues against the idea the center of the earth is made of pudding.
Atheism to you may include a whole bunch of other nonsense criteria, but here in reality all that is required is a belief that no gods exist.
Again, this is about YOUR argument and how ridiculous it is:
No, Hinduism and Atheism are NOT compatible. The easiest way to demonstrate that you are wrong: Hindu people believe that failures in morality/karma/dharma result in a corrupt soul and may result in reincarnation as a lesser creature as punishment.
Again, you can be an atheist and believe in both a soul and reincarnation. Why? Because neither of those believes also require the believer to believe in any god.
Those things would ONLY be incompatible with atheism if either one required a belief in god. They, very obviously, do not. Therefore, both beliefs are compatible with atheism.
I'm getting a bit tired of repeating myself here. What are you having trouble understanding?