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1
Preheat broiler.
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2
Quarter peppers lengthwise, discarding stems, seeds, and ribs.
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3
Put peppers, skin side up, on a rack of a broiler pan and broil about 2 inches from heat until skins are blistered and charred, 8 to 12 minutes.
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4
Transfer peppers to a bowl and let stand, covered, until cool enough to handle.
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5
Peel peppers.
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6
(Wear rubber gloves when handling chilies.)
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7
Lay peppers on their sides on racks of burners (preferably 1 to a burner) and turn flame on high.
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8
Char peppers, turning them with tongs, until skins are blackened, 6 to 8 minutes.
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9
(If peppers are small, as are chilies, spear through stem end with a long handled fork and rest on burner rack.)
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10
Transfer peppers to a bowl and let stand, covered, until cool enough to handle.
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11
Peel peppers.
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12
Cut off tops and discard seeds and ribs.
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13
(Wear rubber gloves when handling chilies.)
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14
In a shallow baking dish just large enough to hold steaks in one layer stir together oil, rosemary, lemon, and pepper.
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15
Add steaks to marinade, turning to coat well.
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16
Marinate steaks, covered, and chilled, turning occasionally, 1 day.
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17
In a blender or food processor blend arugula, oil, and salt and pepper to taste 30 seconds.
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18
Chill mixture, covered, 1 1/2 hours.
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19
Bring mixture to room temperature and pour through a fine sieve into a bowl.
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20
Arugula oil may be made 1 day ahead and chilled, covered.
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21
Prepare grill.
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22
Remove steaks from marinade, letting excess drip off, and grill on an oiled rack set 5 to 6 inches over glowing coals 4 to 5 minutes on each side for medium-rare.
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23
(Alternatively, steaks may be grilled in batches in a hot well seasoned ridged grill pan.)
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24
Transfer steaks to a cutting board and let stand 5 minutes.
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25
Toss roasted peppers with olive oil and salt and pepper to taste and cut steaks into 1/4-inch-thick slices.
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26
Divide arugula leaves among 4 plates and top with steak and roasted peppers.
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27
Drizzle each serving with arugula oil and salt and pepper to taste and serve with potatoes.