Whenever a book talks about the photoelectric effect, it talks about how we can use a battery to attain a $V_{stop}$. Basically, you are making the metal plate on which you don't shine light have a negative charge. This prevents the electrons from going from one plate to another.
Now, I do not understand why there is no current at $V_{stop}$. After all, the metal plate on which you shine light is positive. The electrons, being excited, would preferentially go to the positive side than to the negative side. So, should the direction of the current not be reversed rather than inexistent?