Heat the olive oil in a large pot over medium heat. Add the ground beef and cook until browned, breaking it up with a spoon as it cooks.
Stir in the onion, garlic, and chipotle peppers. Cook for 3 minutes until the onion softens.
Pour in the beef broth. Add the russet potatoes, sweet potato, turnips, and smoked paprika.
Bring the mixture to a boil, then reduce the heat to low. Cover and simmer for 25 minutes, stirring occasionally, until all the vegetables are tender.
Taste and season with salt and black pepper as needed. Serve hot.