Smartphones may have a low carbon emission footprint relative to some other things (numbers I found varied widely) and that still wouldn't be a good argument for discarding them unnecessarily.
Their production and disposal has a great deal of other side effects that aren't defined by carbon emissions, including the mining and refining of rare metals. I would very much like to link a comprehensive examination of this here but I regret that I haven't got one in my bookmarks already and search results are being as useless as usual. If anyone else has a particularly great link to share I'd love to see it too.