Numerical Reconstruction of 2D Magnetic Focusing Experiments

TL;DR

This paper presents a detailed simulation of a 2D magnetic focusing device incorporating realistic features like quantum point contacts and disorder, validated against experimental data, and explores the effects of quantum dot emitters on focusing spectra.

Contribution

It introduces a comprehensive simulation framework for TMF devices that includes realistic device features and compares results with experiments, validating the approach for studying monoenergetic excitations.

Findings

Simulated focusing spectra agree well with experimental results.

Quantum dot geometry does not alter focusing spectra.

Simulation includes device features like quantum point contacts and disorder.

Abstract

Spatial aspects in quantum mechanics are often difficult to model in geometrically intricate settings that are typical of mesoscopic physics. In such cases, predicting the device behaviors is a vital but difficult challenge. Transverse magnetic focusing (TMF) is a prime example where a classically simple effect becomes difficult to approach in the quantum regime. Here, we have simulated a realistic TMF device and compared the results to those from experiments performed on GaAs/AlGaAs two-dimensional electron gas systems. Unlike previous studies, device features such as quantum point contacts and disorder were realized within the simulation. The simulated and experimental focusing spectra showed good agreement, and the analysis was extended to multichannel and energy-modulated scenarios. By revisiting the energy-modulated simulation with a quantum dot (QD) emitter, we confirmed that the unique geometry of a QD does not affect the focusing spectra, thereby validating the feasibility of such experiments in the study of monoenergetic excitations.