There are multiple artists with this name:

1) Asphodel is a metal band from Ekaterinburg, Russia, founded in 2007 by Anatoly Perlov. Their style is melodic doom metal interlaced with math metal rhythms, described as "a depressive sound twisted with lacerated technogenic rhymes in a strange harmony, it is a thick and oppressive air of vulnerable human feelings."

Discography:
2009 - Why Do The People Kill Themselves (demo)
2010 - Agnosia (demo)
2010 - Imminence (EP)

2) Asphodel is a metal band from Greece active between 1992-2002. Founded in Athens, by Nick, Sifis and Aris. Later Nick moved to Rethymno, Crete to study psychology and met Maria.

3) Asphodel is a gothic black metal band from Patras, Greece. Read more on Last.fm. User-contributed text is available under the Creative Commons By-SA License; additional terms may apply.