The doctrine asserting the right of states to ignore unconstitutional laws of congress is called

Nullification is the right answer.

Nullification is a legal provision in the constitution of the U. S, that asserts that a state has the power to nullify, or cancel, any central law which that state has deemed undemocratic with regard to the constitution of the United States. This theory of nullification is based on a belief that as creators of the Federal Government, the states have the ultimate authority to define the limits of the power of that government.