I used Dutch white clover just this year, it is growing low enough that I don't have to mow and when we walk around the orchard the clover just compresses and springs back after a rain. The flowers also attract the bees for fruit tree pollination.
I'm liking this approach for the orchard, and may even try it next year in the vineyard.
I also like Hans' suggestions, our orchard is getting raised beds for vegetables between the trees, with enough space left for harvesting the fruit, the clover that ends up in these raised beds will just get covered with soil and
compost, adding to the nutrient level of the beds.
As Hans mentioned, you really don't have to worry about ground covers robbing trees of any nutrients, the value they have as ground cover negates any perceived problems.
If you don't like the idea of planting things, simply laying down a 4" to 6" deep mulch layer would do fine. Then you can always come along and top dress with compost when you want to or you can plant vegetables or flowers through the mulch.
Redhawk