On the rare occasions when Josh Klinghoffer isn't touring, writing or recording with the Red Hot Chili Peppers, the guitarist keeps busy with his other band, Dot Hacker. The group today premieres a new song, "Elevator," from an album due this summer—the first of two planned for this year.

Dot Hacker formed in 2008 when Klinghoffer, guitarist Clint Walsh and drummer Eric Gardner—who had toured together as part of Gnarls Barkley—joined forces with bassist Jonathan Hischke, who Klinghoffer knew previously. The music...