Ballistic quantum transport at high energies and high magnetic fields

Abstract

We present an extension of the modular recursive Green's function method (MRGM) for ballistic quantum transport to include magnetic fields. Dividing the non-separable two-dimensional scattering problem into separable substructures allows us to calculate transport coefficients and scattering wavefunctions 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 edge state regime we observe strong multi-frequency Aharonov-Bohm oscillations. By analyzing them in terms of a multi-channel 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 wavefunction near classical trajectories.

20 pages, 10 figures, to appear in Phys.Rev.B

Cited by in corpus (6)

• Tunable Fano Resonances in Transport through Microwave Billiards
• Shot noise in the chaotic-to-regular crossover regime
• Simulation of Electron Transport through a Quantum Dot with Soft Walls
• Fano resonances and decoherence in transport through quantum dots
• Pseudo-Path Semiclassical Approximation to Transport through Open Quantum Billiards: Dyson Equation for Diffractive Scattering
• Bound states in Andreev billiards with soft walls