Low-Temperature Specific Heat of a Semiconductor in a Strong Magnetic Field

We calculate the electronic specific heat of a semiconductor (GaAs) at very low temperatures when subjected to a magnetic field strong enough to make the electron distribution nondegenerate. The transition to nondegeneracy is characterized by a large and rapid increase in the specific heat. For large fields the value approaches that of a one-dimensional nondegenerate gas, after first exceeding this value. Zeeman splitting, even with a very small g factor (0.32), almost doubles the maximum in the specific heat as a function of field.