Recommended Equipment: A mandolin or food processor with the slicing blade attachment; a large (12″) heavy cast iron skillet
Fill a large bowl halfway with cold water. Peel the potatoes and place them in the water as you go, to prevent discoloration.
Slice the potatoes thinly (1/8-1/4 inch thick) and place slices in the bowl of water, as you go. I recommend using a mandolin or a food processor with the slicing blade attachment.
Lay an absorbent dish towel on the counter and have another one or two handy. Drain the sliced potato in a mesh strainer and dump them onto a towel. Pat and blot them dry. They will brown better if you get them nice and dry.
Heat oil in a large skillet (preferably cast iron) over high heat, until hot but not smoking. Add the potato slices and immediately toss them until they’re all coated with oil. Let the potatoes cook, undisturbed, for 3-5 minutes, or until the bottom pieces look brown around the edges. Mound the peppers on top and add a pinch or two of salt. Flip the potatoes over with a spatula, so some raw potatoes and peppers are on the bottom of the skillet. Leave them undisturbed for another 3-5 minutes, until they are nice and brown. Continue to brown and toss potatoes for 5-10 minutes longer, until about half of them are crisp and brown and the rest are soft and creamy.