The second one is no good because a clause is required here after the adverbial 'thus'.
New words, one handy idiom, and a 2-minute quiz — delivered to your inbox to keep your streak alive.
Would you say the former sentence should be (either of?) these?
I am currently on leave. Thus, I have no access to my office email.
I am currenly on leave, and thus I have no access to my office email.