Computation of Landau Levels and Shubnikov-de Haas Oscillations in Quantum Heterostructures

We develop a computational method that can efficiently simulate Landau levels in quantum heterostructures, by reducing the problems dimensionality. We then apply this to a GaSb/InAs/AlSb broken gap quantum well in the trivial and inverted regimes. This heterostructure can be tuned into a 2DTI phase, and has possible applications in topological quantum computing. In the Landau fan of the inverted regime we observe the hole band shifting into the electron band, and an electron state crossing the gap to the hole band and vice versa. In the trivial regime we study the magnetic oscillations in the density of states near the Fermi energy, and observe a pronounced beating for a broadening of 0.3 meV.Applied SciencesQuantum NanoscienceTheoretical Physics Grou