It's another word for describing (hardcore) fans. People who idolize somebody else.
Sometimes the term is used in an offensive way, to 'attack' somebody who is idiolizing another person hardcore.
It's originated from the song Stan by Eminem. A song that goes about a hardcore Eminem fan called Stan.
The term has been used in several songs by different artists, like Logic in his song Return.
"Eminem is so awesome, I'm a real Stan!"
"Used to call you a hater, you a motherfuckin' Stan"
-Logic
Dude why do you idiolize him so much? You're such a Stan