1. It is worth to remark that except for corrections due to quantum electrodynamical effects the Zeeman splitting energyΔzequals the distance between adjacent Landau levelsħwcin vacuum. This leads to the same energy for particles in Landau levelnand minority spin ↓ and in the adjacent Landau leveln+ 1 and majority spin ↑. However this relation breaks down in a semiconductor environment as we will see below.
2. Optical detection of conduction-electron spin resonance in GaAs,Ga1−xInxAs, andGa1−xAlxAs
3. In this work we use the term strong magnetic field and quantum Hall regime as synonyms although the second notion is more precise. It indicates that transport measurements show at low filling factors the typical features of the quantum Hall effects. This can be accomplished at least in principle even at moderate magnetic fields but at sufficiently small particle densityn. On the other hand it implies a sufficiently clean sample.
4. The magnetic translation remains so long a symmetry as the magnetic field is homogeneous or the vector potential is linear inr. Otherwise it is not possible to separate the vector potentialA(r+r0) in two terms and compensatingA(r0) by an additional gauge transformation.
5. Electronic properties of two-dimensional systems