I am on a very successful vegan/veggie type diet, (with a little cheating in between as to stay normal).
found this on google which may be a little guide to low carb veg.
"Salad greens and other leafy vegetables -- spinach, parsley, Boston and romaine lettuce Asparagus, artichoke hearts, arugula, bamboo shoots, beet greens, cabbage, cauliflower, celeriac, chard, collard greens, cucumber, broccoli, brussel sprouts, eggplant, escarole, garlic, green onions, jicama, kale, leeks, kohlrabi, mushrooms (especially straw), mustard greens, okra, peppers (all varieties), pumpkin, radish, radicchio, rhubarb, sprouts (alfalfa and bean), string and wax beans, snow peas, Swiss chard, tomatoes, tomatillo, turnips, water chestnuts, watercress, yellow summer squash and zucchini."
best of luck and most of all enjoy your meals.