To understand this behaviour we must consider the magnetic quantisation in terms of the Landau levels.

Suppose the electrons just fill exactly an integral number N of Landau levels.

The states in the higher Landau levels decouple and become almost irrelevant.

These Landau levels are further split by the Zeeman energy.

As a result, the charged particles can only occupy orbits with discrete energy values, called Landau levels.

Each set of wave functions with the same value of is called a Landau level.

Each Landau level is degenerate due to the second quantum number .

Generally, Landau levels are observed in electronic systems, where and .

As the magnetic field is increased, more and more electrons can fit into a given Landau level.

Zeeman splitting will have a significant effect on the Landau levels because their energy scales are the same, .