No, an n-type semiconductor is not negatively charged.
Here's the whole story: if you make a crystal of pure silicon, it will not conduct electricity very well. Each atom of silicon has four valence electrons, and each atom bonds with each of its four neighbors in the crystal lattice. All of the electrons are involved in chemical bonds, and thus cannot move. Pure silicon (called "intrinsic semiconductor") is essentially an insulator.
To make n-type semiconductor, you impregnate the pure silicon crystal with atoms of another element like phosphorus. The phoshorus atoms fit into the crystal lattice just like silicon, but with one important difference: phosphorus atoms have five valence electrons. One of the phosphorus atoms' electrons is free to move about throughout the crystal. The resulting material, "doped" with phosphorus, can carry electricity via these mobile electrons.
To make a p-type semiconductor, you dope the pure silicon with an element like boron, which only has three valence electrons. The resulting material is "missing" electrons. It has "holes" where electrons are absent. P-type semiconductor can carry electricity via the movement of these holes (or, by the movement of electrons through those holes, if you want to be pedantic). Interestingly, the conduction of electricity by a p-type semiconductor is quite well described as due to the movement of positive particles. In essence, the holes behave just like mobile positive particles.
Let us know if you have any more questions.
- Warren