I'm trying to play the intro to The Strokes - Heart in a Cage. Valensi uses quite a bit of drive in it so it's very difficult to get clean notes at that speed. I use two fingers of my left hand to press and release strings in a way that when I strum the string I want, I kind of mute the string that was strummed just before so I don't get a buzz. This, however, seems to be quite difficult to do at a high tempo, so I was wondering if there are other techniques to achieve this.

Link to song on youtube Heart in a Cage