Group-Theoretical Consideration of Landau Level Broadening in Crystals
Physical Review1964Vol. 136(3A), pp. A776–A780
Citations Over TimeTop 10% of 1964 papers
Abstract
A group-theoretical classification of the energy levels for a Bloch electron in a magnetic field is given. The fact is used that the magnetic translation group is a subgroup of the symmetry group for a free electron in a magnetic field, and it is shown that the broadening of the Landau levels in crystals is a general feature that follows from symmetry considerations. An explicit formula for the broadening in the case of cubic symmetry has been derived.
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