The War on Drugs came to 'The Late Show with David Letterman' last night, bringing their tuneful shoegaze rock to late-night viewers with a performance of 'Come to the City.'

The band is out promoting its 'Come to the City' EP, which backs the single with non-album track 'Don't Fear the Ghost,' and they showed up at Letterman's place ready to play, delivering a pretty spot-on rendition of the song -- in fact, the host was in such a good mood once the band finished that he joked with drummer Steven Urgo about buying his kit.

'Come to the City' originally appeared on the band's 'Slave Ambient' album, released last August to generally positive reviews (including an A- from the AV Club and an 8.3/10 from Pitchfork) and promising commercial returns; thus far, 'Ambient' has peaked at No. 4 on the Billboard Heatseekers chart and No. 27 on the trade's US Independent Albums tally.

The band is currently gearing up for a summer filled with tour dates -- they'll spend the summer bouncing back and forth between Europe and the U.S. while making appearances at the Sasquatch Music Festival, Bonnaroo, the Shine a Light Festival, and Lollapalooza.

The War on Drugs, 'Come to the City'