Cyclotron resonance of electrons and holes in electric surface subbands of tellurium

Calculation of surface quantum levels in tellurium inversion layers

“…The cyclotron mass for H // c is called m 1because it is equal in modulus to the effective mass in the direction perpendicular to c if trigonal warping is neglected, which is done in the dispersion relation (4). The cyclotron mass 2 is of the same order of magnitude as ordinary measured [4] or calculated [5], and decreases when energy increases. The cyclotron mass 1 is smaller, and varies in an opposite way with energy.…”

“…-The energies E F -E can be calculated from the periods Pi by (1) if the cyclotron mass mc of the motion in a plane parallel to the surface is known. Some cyclotron resonance experiments were made on inversion layers by von Ortenberg and Silbermann [4], but the measured masses, given as functions of gate voltage, do not allow us to interpret our S d H data. So we use cyclotron masses calculated as functions of energy from the dispersion relation by :…”

“…The potential being linear, 1 kil 1 varies in an hyperbolic way as a function of energy, becoming infinite at the bottom of thé well, as drawn in dashed lines. In that plane kl = 0, a sub-band is represented from [4], assuming that its position with respect to the bottom of the well is known. It can be seen that two energetic levels, El, on the internal part of the sub-band, E2 on the external part, with wave vectors k, and k2, are induced by the potential well (the figure is not to scale).…”

“…Moreover the oscillations are split by the asymmetry of Landau levels in reciprocal space. 4. Energies of the levels.…”