Andrei Manolescu, Tomas Orn Rosdahl, Sigurdur Erlingsson, Llorens Serra, Vidar Gudmundsson
We calculate electronic states on a closed cylindrical surface as a model of a core-shell nanowire. The length of the cylinder can be infinite or finite. We define cardinal points on the circumference of the cylinder and consider a spatially uniform magnetic field perpendicular to the cylinder axis,in the direction South-North. The orbital motion of the electrons depends on the radial component of the field which is not uniform around the circumference: it is equal to the total field at North and South, but vanishes at the West and East sides. For a strong field, when the magnetic length is comparable to the radius of the cylinder, the electronic states at North and South become localized cyclotron orbits, whereas at East and West the states become long and narrow snaking orbits propagating along the cylinder. The energy of the cyclotron states increases with the magnetic field whereas the energy of the snaking states is stable. Consequently, at high magnetic fields the electron density vanishes at North and South and concentrates at East and West. We include the spin-orbit interaction and show that if the linear Rashba and Dresselhaus types coexist the charge and spin densities density around a cylinder of finite length become skewed.
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http://arxiv.org/abs/1305.5577
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