Some Eleocharis species (aka Hairgrass) stay shortish, but under 1 inch isn't going to happen. You can trim it though. Requires a little more light than j.moss/j.ferns.
Glossostigma elantoides works but also needs a bit more light than hairgrass. Similar and less light demanding is Marsilea aka 4leaf clover.
Hemianthus micranthemoides can work but would take some effort to keep it down to 1".
Hemianthus callitrichoides (aka HC) is the smallest but also the most difficult.
Anubia nana 'petite' is a low light plant that stays small but is still pricey to cover any area.
HTH