TVP for Texturized Vegetal Protein, or something like that, my English ain't perfect. It's proteins isolated from soy that have been dehydrated. It can be in small or large pieces or small crumbs. You just put them in boiling water for a few minutes so it rehydrates. It's like tofu but higher in proteins. I think there's some simple carbs in it too. Tofu has almost no carbs, and it's not "low in proteins" as you said, it's like meat, fish, etc.
What you want is not only a low carb diet, but also high in proteins. I did that once, with 0-30gr of carbs and fats per day, it's like the others said : protein shakes, with 0 calories sweeteners. All this is not very healthy. But the idea is to empty your glycogen storage so the body only uses fat storage as energy.
So some lo-carb hi-protein foods... Most nuts and seeds contain all 3 nutrients so they not ideal. All soy products (miso, tofu, tvp, protein isolate powder, tamari sauce or Bragg's liquid aminos, tempeh. I guess seitan is not too high in carbs ? Then there's all veggies like broccoli, spinach, romanian lettuce. Some sprouts, like alfalfa (4gr of proteins per 20 calories) are the best assimilated raw proteins on earth, high in micronutrients, low in fat and carbs. http://www.nutritiondata.com/facts/vege ... cts/2302/2