When forming large (6 ounce or larger) patties for the broiler, form the patties wider than you'd like them to be, and create a small dimple in the center by pressing down with your fingers.
Preheat broiler to high. Divide meat into four equal 7-ounce portions and gently shape each one into a patty 4.5-inches wide by approximately 3/4-inch thick. Place on flat surface and create a dimple in the center of the patty by pushing down with three or four fingers. The dimple should be about 1/4 of an inch deep and 3 inches across. Season generously with salt and pepper.
Place patties on foil-lined broiler pan and position so that tops of patties are 2 1/2 to 3 inches below the broiler elements or flame. Broil for 3 minutes until top is well browned and begging to char. Flip patties and continue to broil until center reads 130 degrees on an instant read thermometer for medium-rare, about 3 minutes longer. Adjust cooking time if you want them more or less cooked.
Top each patty with a slice of cheese, place back under broiler for 25 seconds to melt, place on buns, top as desired, and serve.