Mathieu, a Heisman Trophy finalist, and Claiborne were joined on the All-America team by Heisman Trophy winner Robert Griffin III of Baylor and finalists Montee Ball of Wisconsin and Trent Richardson of Alabama.
Heisman runner-up Andrew Luck from Stanford was the second-team quarterback.
The second-ranked Crimson Tide had the most first-teamers with four. Richardson was joined by tackle Barrett Jones, linebacker Dont’a Hightower and safety Mark Barron. Tide linebackers Courtney Upshaw and cornerback Dre Kirkpatrick also made the second team, giving Alabama the most players selected overall.
The LSU duo was joined on the first team by Tigers punter Brad Wing. LSU guard Will Blackwell was a second-team selection, and defensive end Sam Montgomery made the third team.
Since the AP began selecting both an offensive and defensive team in 1964, no team had put a pair of cornerbacks on the first team.
No. 3 Oklahoma State had five selections on the three teams, including wide receiver Justin Blackmon, one of two players to be selected to the first team for the second consecutive season.
Boston College linebacker Luke Kuechly, the nation’s leading tackler, is the other two-time All-American on this year’s team.
Clemson had two players on the first-team, with tight end Dwayne Allen and freshman Sammy Watkins, selected as an all-purpose player.
South Carolina defensive end Melvin Ingram made the first team, along with Georgia safety Baccari Rambo and linebacker Jarvis Jones.
Seven of the 11 All-America defensive players were from the Southeastern Conference.