Ballistic quantum transport at high energies and high magnetic fields

We present an extension of the modular recursive Green’s function method for ballistic quantum transport to include magnetic fields. Dividing the nonseparable two-dimensional scattering problem into separable substructures allows us to calculate transport coefficients and scattering wave functions very efficiently. Previously unattainable energy and magnetic-field regions can thereby be covered with high accuracy. The method is applied to magnetotransport through a circle and a stadium shaped quantum dot at strong magnetic fields and high energies. In the few edge state regime we observe strong multifrequency Aharonov-Bohm oscillations. By analyzing them in terms of a multichannel interference model, we classify these fluctuations within the framework of Fano resonances and discuss their geometry independence. For high energies (mode numbers) we observe localization of the scattering wave function near classical trajectories.