The authors report on topology dependent electron transport in tubular shaped two dimensional electron gas. These micron sized tubes are realized in strained InGaAs quantum wells as a first step towards investigating geometric potentials in low dimensional quantum systems. They investigate the topology induced change in magnetoresistance of the electronic system in a perpendicular magnetic field. At low magnetic field, an increased zero field magnetoresistance followed by a negative magnetoresistance is observed. They ascribe this effect to an increase in electron scattering along the curved regions. At high magnetic fields they observe a linear increase in resistance of the curved region as compared to planar regions.
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Shaji et al. (2007) studied this question.
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