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Magnetic states of the electron gas confined in modulation-doped core-shellnanowires are calculated for a transverse field of arbitrary strength andorientation. Magneto-conductance is predicted within the Landauer approach. Themodeling takes fully into account the radial material modulation, the prismaticsymmetry and the doping profile of realistic GaAs/AlGaAs devices within anenvelope-function approach, and electron-electron interaction is included in amean-field self-consistent approach. Calculations show that in the lowfree-carrier density regime, magnetic states can be described in terms ofLandau levels and edge states, similar to planar two-dimensional electron gasesin a Hall bar. However, at higher carrier density the dominatingelectron-electron interaction leads to a strongly inhomogeneous localization atthe prismatic heterointerface. This gives rise to a complex band dispersion,with local minima at finite values of the longitudinal wave vector, and aregion of negative magneto-resistance. The predicted marked anisotropy of themagneto-conductance with field direction is a direct probe of the inhomogeneouselectron gas localization of the conductive channel induced by the prismaticgeometry.

Landau levels, edge states and magneto-conductance in GaAs/AlGaAs core-shell nanowires