Quantum analog of channeled electron trajectories in periodic magnetic and electric fields

TL;DR

This paper investigates the quantum states of electrons in a 2D electron gas subjected to strong magnetic and electric modulations, revealing high-current channeled states and comparing quantum results with classical orbits.

Contribution

It introduces a quantum analog of classical channeled electron trajectories in a modulated 2DEG, providing insights into their quantum states and current distributions.

Findings

Quantum channeled states carry high, concentrated currents along the y-axis.

Quantum states are confined in an effective potential well.

Comparison shows similarities and differences between quantum and classical states.

Abstract

We calculate the quantum states corresponding to the drifting and channeled classical orbits in a two-dimensional electron gas (2DEG) with strong magnetic and electric modulations along one spatial direction, $x$. The channeled states carry high, concentrated currents along the $y$ axis, and are confined in an effective potential well. The quantum and the classical states are compared.