Heat olive oil in a saute pan (or turn your slow cooker to Saute if you have the option) over medium-high. Add onion and cook until softened, about 5 minutes, then add green chiles and garlic and cook for 1 minute more.
Mix together cumin, oregano, chili powder, salt, coriander, and black pepper and stir into onion mixture. Add 1/2 cup of the broth and scrape the bottom of the pan to release any stuck bits.
Pour pan contents into slow cooker and add remaining broth, chicken, white beans, and lime juice. Cook on Low for 4 hours.