Spotify Biography gives me "The luminously lovely indie-tronic duo CocoRosie..". So somewhere along the lines of Indie. Spotify also gives me "Similar" artists, being Beircut; Devendra Banhart; Cat Power: Fever Ray; Blonde Redhead; Bat for lashes; Beach house; Au Revoir Simone; Sigur Ros; Camille; Bonobo; Efterklang; Karen O and the kids; Tunng; Little Dragon; Kimya Dawson; Was Tailor.
I don't know how similar these actually sound (since I haven't listened to them), but spotify gives me those suggestions. Maybe you could try spotify out, it's really handy if you want to find similar and new music.