Parallel transport in a quasi-two-dimensional electron gas subjected to an in-plane magnetic field

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Abstract
The transport coefficients Rxx and Sxx are calculated for electrons confined to a parabolic potential well Vc(z)=a2z2 and subjected to an in-plane magnetic field B=(B,0,0). A Boltzmann transport formalism is used to develop general formulae for all the transport coefficients in the presence of delta -function scatterers. The anisotropic scattering lifetime when B not=0 is evaluated. It allows an immediate calculation of Rxx and Sxx, which show the structure expected with increasing B as successive sub-band minima pass through the Fermi level. In particular Sxx exhibits a sign change and the behaviour of Rxx is consistent with recent experimental data. The formulae for Ryy and Syy requires the numerical iterative calculation of a renormalised velocity in the y direction for their evaluation.