What do you mean the parents "never, ever" supervise them? If that's the case, call the child abuse hotline: 919-212-7990 (Wake County)
Contact the landlord and tell him that you are going to petition the city to declare his/her house a nuisance due to noise (the noise ordinance is 11 pm to 7 am), trash, stray dog, theft, and anything else they do to make your life miserable. You can find the owner of the home by searching:
Real Estate Search If that's not up to date, then call the City to find out the owner's name or how to find it.
Keep your kids away from them, call the police on anything that can be considered valid to do so, and keep a log of all activities.
Here is a link to
their responsibilities as a tenant:
City of Raleigh | Tenant's Rights and Responsiblities (http://www.raleigh-nc.org/portal/server.pt/gateway/PTARGS_0_2_306_202_0_43/http%3B/pt03/DIG_Web_Content/category/Resident/Housing/Off_Campus_Student_Housing/Cat-MCH-2006407-103621-Tenant_s_Rights_and_Res.html - broken link)
According to the city's landlord registration rules, if a landlord's property is found to violate minimum housing, zoning and nuisance laws, or there is a pattern of noise or noisy parties, the landlords have to pay $500 a year. For the second and third instances, they continue to get harsher penalties, including the removal of their rental permit for two years and lastly, removing of the permit for ALL other properties they own for two years.
It's meant to improve the neighborhoods and reduce the instances of crimes. (It's also to reduce the instances of out-of-control college parties, I think.) However, if the behavior of their tenant is preventing you from enjoying your own home, I believe you have every right to speak up and do something about it.
For more info about the City's PROP ordinance, call 831-6167.
Good luck!