I am very confused about a question in problemset 4c, where we had to sketch the density of states g(E) for a two dimensional material. So we know there is sth between -2 and 0 and 2 and 10.
So my question is whether g(E) diverges at these boundaries or in the middle. So is it a valley or a hill?
If I calculate it I get a valley. But somehow is it supposed to be a hill? Or is there a reason for being allowed to shift the curves?