Preheat your oven to 425°F and line a large baking sheet with parchment paper.
Dice the potato into uniform 1/2-inch cubes to ensure they cook evenly and get maximum crispiness.
Toss the potato cubes on the baking sheet with 0.5 tbsp of olive oil and half of the sea salt and black pepper.
Roast the potatoes for 20 to 25 minutes, flipping them halfway through, until the edges are golden and crunchy.
While the potatoes roast, rub the chicken breast thoroughly with the chipotle peppers, cumin, garlic powder, and the remaining salt and pepper.
Heat the remaining 0.5 tbsp of olive oil in a cast-iron skillet over medium-high heat.
Place the chicken in the skillet and sear for 6 to 8 minutes per side until the exterior is charred and the internal temperature reaches 165°F.
Remove the chicken from the pan and let it rest for 5 minutes before slicing it into thin strips.
Arrange the baby arugula on a plate, top with the crispy roasted potatoes and sliced chipotle chicken, and finish with a fresh squeeze of lime juice.