PreparationMake the yogurt sauce: Whisk yogurt, oil, lemon zest, salt, and garlic in a medium bowl until combined. Do Ahead: Yogurt sauce can be made 1 day ahead. Cover and chill. Make and assemble the burgers: Mix paprika, cayenne, 1 1/2 tsp. salt, and 1 tsp. black pepper in a small bowl. Shape lamb into 4 patties about 3/4" thick. Season with spice mixture on both sides. Heat oil in a large skillet, preferably cast iron, over medium-high. Working in batches if needed, cook patties until underside is browned, 5–6 minutes. Turn and cook until browned on other side, 4–5 minutes for medium-rare. Transfer to a plate and let rest 10 minutes. Meanwhile, toss asparagus, snap peas, onion, lemon juice, and remaining 1/2 tsp. salt and 1/2 tsp. pepper in a medium bowl. Generously spread yogurt sauce on cut sides of buns. Build each burger with a lamb patty and a mound of slaw. You will probably have extra slaw left over—serve it alongside.
PreparationMake the yogurt sauce: Whisk yogurt, oil, lemon zest, salt, and garlic in a medium bowl until combined. Do Ahead: Yogurt sauce can be made 1 day ahead. Cover and chill. Make and assemble the burgers: Mix paprika, cayenne, 1 1/2 tsp. salt, and 1 tsp. black pepper in a small bowl. Shape lamb into 4 patties about 3/4" thick. Season with spice mixture on both sides. Heat oil in a large skillet, preferably cast iron, over medium-high. Working in batches if needed, cook patties until underside is browned, 5–6 minutes. Turn and cook until browned on other side, 4–5 minutes for medium-rare. Transfer to a plate and let rest 10 minutes. Meanwhile, toss asparagus, snap peas, onion, lemon juice, and remaining 1/2 tsp. salt and 1/2 tsp. pepper in a medium bowl. Generously spread yogurt sauce on cut sides of buns. Build each burger with a lamb patty and a mound of slaw. You will probably have extra slaw left over—serve it alongside.