'Social Network' Star Armie Hammer -- Arrested for Pot Possession

"Social Network" star Armie Hammer -- who played both Winklevoss twins in the movie -- was arrested in Sierra Blanca, Texas for marijuana possession ... the same small town where both Willie Nelson AND Snoop Dogg were busted for pot in the last year.

A drug-sniffing dog did the detective work, and allegedly found 3 medicinal pot cookies and 1 brownie. The incident occurred on November 30.

We're told this occurred at a border patrol checkpoint.

Hammer spent 1 day in jail before bailing out on a $1,000 bond.