Entropy of Superlattices in a Quantized Magnetic Field

The entropy of a degenerate and a nondegenerate low dimensional electron gas in a quantized magnetic field is calculated. It is noted the entropy of a two-dimensional electron gas essentially exceeds entropy of three-dimensional electron gas. It is shown the entropy of a degenerate quasi-two-dimensional electron gas is directly proportional to the state density. The ratio of entropy of a degenerate two-dimensional electron gas to entropy of three-dimensional electron gas in the quantum limit is determined by the ratio of effective masses across and along layers.