Place a large heavy-bottomed stockpot over medium heat and sauté the onion, carrots, and celery until the onions are translucent, approximately 6 minutes.
Add the minced garlic and smoked paprika, stirring constantly for 60 seconds to release aromatics.
Pour in the chicken bone broth and add the rinsed split peas, smoked turkey leg, bay leaf, and thyme.
Bring the liquid to a rolling boil, then immediately reduce the heat to low to maintain a gentle simmer.
Cover the pot partially and simmer for 60 to 75 minutes, or until the split peas are tender and have begun to break down into a creamy consistency.
Remove the smoked turkey leg from the pot, strip the meat from the bone, finely shred it, and return the meat to the soup.
Discard the bay leaf and season with salt and black pepper to taste before serving.