Magnetic energy levels of bismuth in the low-quantum-number limit

A quantitative description of the electronic magnetic levels of bismuth in the low-quantum-number limit is presented. The model is based on the simplifications to the Baraff Hamiltonian made by Maltz and Dresselhaus and includes the effects of bands outside the two-band model as well as the interaction between the $j=0\mathrm{}$ levels in the conduction and valence bands represented by a coupling parameter $P$. Magnetoreflection results on interband Landau-level and cyclotron-resonance transitions in the low-quantum-number limit are utilized in the determination of the parameters of this model, including the first quantitatitive measurement of $P$. Values for the direct energy gap, cyclotron effective masses, and coupling parameter $P$ are reported for $\overrightarrow{H}\parallel \mathrm{binary}$ and $\overrightarrow{H}\parallel \mathrm{bisectrix}$ axes in the temperature range $4.2<T<\mathrm{}75\mathrm{}$ K.