1. Heat the oil in a large nonstick skillet over medium-high heat. Add the chicken and cook, stirring occasionally, for 3 to 4 minutes or until lightly browned. Transfer to a 4-quart slow cooker. Return the skillet to the heat and add the onion, garlic, chile pepper, and carrot. Cook for 1 minute, then transfer to the slow cooker. Stir in the sweet potato, broth, peanut butter, and tomato paste.
2. Cook on high for 3 to 4 hours or low for 5 to 6 hours or until the chicken and vegetables are very tender. Season with salt and black pepper.