Steak with Arugula

From My Carolina Kitchen, serves 2, easily doubled

Steak ingredients:
1 shoulder tender, about ¾ of a pound (or 1” thick boneless steak cut of your choice such as a rib-eye, 1 per person)
1 tablespoon good extra-virgin olive oil, plus more for brushing the steak(s)
Kosher salt and freshly ground black pepper
Fleur de sel or any good finishing salt for serving

Salad ingredients:
1 tablespoon freshly squeezed lemon juice
¼ teaspoon Dijon mustard
Fleur de sel or Maldon salt and freshly ground black pepper
3 tablespoons good extra-virgin olive oil
5 to 6 ounces baby arugula
1 small chunk of imported Italian Parmesan cheese

If you are grilling the steaks, prepare a charcoal grill with hot coals or turn a gas grill to medium-high heat.

Brush steak(s) lightly with olive oil and sprinkle both sides liberally with salt and freshly ground black pepper, then set aside at room temperature for 15 minutes.
Meanwhile, place lemon juice, Dijon mustard, Fleur de sel sal, and freshly ground black pepper  in a small jar with a tight fitting lid and shake well to combine. Shake well to combine, then add the olive oil and shake well again. Set vinaigrette aside. 

Place the arugula in a large salad bowl and refrigerate until serving time. 

Set a heavy cast iron skillet on the stove over medium high heat. When the oil starts to sizzle, add the steak(s) and cook for 5 minutes, then turn and cook the other side for 5 minutes, then check for doneness. The steaks will be medium-rare when the internal temperature reaches 125 degrees F on an instant read thermometer. Continue to cook until desired degree of doneness (we prefer ours rare to medium-rare.) Remove steaks to a plate, cover with foil, and allow to rest for 10 minutes before slicing. 

While the steaks are resting, remove the salad bowl with the arugula from the refrigerator, give the vinaigrette a good shake, then toss the arugula with enough vinaigrette to moisten. Taste for seasonings and add Fleur de sel and pepper if needed. Divide the cold arugula among individual plates, then slice steak(s) and place the steak slices on top with arugula. With a vegetable peeler, shave some long slices of Parmesan over individual salads, season the steak slices with a little more Fleur de sel and freshly ground black pepper and serve hot.  

Adapted from How Easy is That? by Ina Garten