Han Solo is a primary character in the Star Wars continuum. A sarcastic, world-weary smuggler, he eventually joins the Rebel Alliance and falls in love with Princess Leia. In the films he is portrayed by Harrison Ford. He has a Wookiee companion and first mate, Chewbacca.
Oddly enough, despite his rogueish nature Han Solo is not commonly featured in badfic and his relationship with Leia Organa is rarely contested. This may be because he is not a Jedi and has no special powers of interest to the fandom, or possibly because there are so much bigger angst/lust magnets in the canon such as Luke and Anakin Skywalker, or even Obi Wan Kenobi in the prequel trilogy.
While he is a decently good man, he also serves as a character foil to Luke's upstanding nature and is a bit sneakier or more self-serving than Luke. Although he does undergo character development that has him fighting fully and honestly for the side of freedom and the Rebel Alliance, making Han Solo act like a dopey goodie-goodie at any point in time is too much and probably a charge.