Quantum conductance of a lateral microconstraint in a magnetic field

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Abstract
The G(d) function for a microconstraint was studied in the presence of a magnetic field (where G and d are respectively the conductance and diameter of a constraint). It is shown that spin splitting of a quantum step in the G(d) function increases with the step number n; hence the spin effects should be more pronounced at greater numbers. The study revealed that the effect of magnetic field on electron orbits does not destroy the adiabatic propagation of an electron wave through the constraint. The adiabaticity condition is maintained if d is small compared to the curvature radius of a constraint. Accordingly, the step-plateau width ratio is small for all values H under consideration. Each width, however, increases parametrically at rc (H) to d(rc is the cyclotron radius). The conductance properties in question are in agreement with the experimental data.