Quantum transport in ballistic nano-scale Corbino disks

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Abstract
A theoretical study is presented of transport through ballistic nano-scale Corbino disks with ideal contacts. Quantum, classical and semi-classical results are compared. At magnetic field B=0 and low temperatures, the conductance G is quantized in odd integer multiples of 2e2/h. G is not a monotonic function of B, because conduction via successive quantum states switches on and off as B increases. G shows an approximate plateau at low B (for rc>(ri+r0)/2) and is zero at high B, for rc<(r0-ri)/2. rc is the cyclotron radius. ri and r0 are the radii of the inner and outer contacts. In between, G falls approximately linearly with B, modulated by structures on the scale of e2/h due to conduction through individual quantum states.