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Theory for the cyclotron resonance of holes in strained asymmetric Ge-SiGe quantum wells

Winkler, R. and Merkler, M. and Darnhofer, T. and Rössler, Ulrich (1996) Theory for the cyclotron resonance of holes in strained asymmetric Ge-SiGe quantum wells. Physical Review B 53 (16), pp. 10858-10865.

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Other URL: http://link.aps.org/abstract/PRB/v53/p10858

Abstract

We present calculations of hole Landau levels, cyclotron masses, and far-infrared spectra for strained asymmetric p-type Ge-Si $_{x}$ Ge $_{1-x}$ quantum wells in a perpendicular magnetic field in order to interpret recent experimental results by Engelhardt et al. [Solid State Electron. 37, 949 (1994)]. Self-consistent hole subband calculations are combined with calculations of the Landau levels using a 6 x 6 ${\bf k·p}$ Hamiltonian for the topmost $\Gamma$$_{8}$ and $\Gamma$$_{7}$ bulk valence bands. Our results are in very good agreement with the experimental data. Taking into account the coupling to the split-off band turns out to be important. The complex spectra of hole Landau levels in strained quantum wells remind one of the well known quantum resonance spectra of bulk ${\it p}$ -type Ge under uniaxial stress.