Getting rid of garden ants

Hi, I have a backyard garden plot in the mission district. Before I planted, there were already two angel trumpet trees, a large morning glory plant, and some other flowering plants. I used a sheet mulching method to enrich the soil and have spinach, lettuce, broccoli, and swiss chard growing from seeds. The plants seem to be coming up just fine, but there are thousands upon thousands of ants, which swarm around the outside of the bed and on the soil and plants. I am fairly sure that they are Argentine ants, but just today, I discovered that there were some with wings and some carrying some small white things. The number of ants seems to continue increasing even though I have tried using diatomaceous earth already. I haven't seen any aphids on the leaves yet, but I am worried about this possibility when the veggies get bigger. How can I diminish this seemingly super colony of ants before they cause any damage? Thanks.