Effect of edge transmission and elastic scattering on the resistance of magnetic barriers

TL;DR

This paper investigates how edge transmission and elastic scattering influence the resistance of magnetic barriers in 2D electron gases, combining experimental observations with semiclassical simulations for a comprehensive understanding.

Contribution

It introduces a quantitative explanation of residual resistance in magnetic barriers through the combined effects of elastic scattering and E x B drift, supported by simulations.

Findings

Residual resistance persists deep in the closed regime.

Elastic scattering and edge effects significantly impact barrier resistance.

Simulations match experimental observations quantitatively.

Abstract

Strong magnetic barriers are defined in two-dimensional electron gases by magnetizing dysprosium ferromagnetic platelets on top of a Ga[Al]As heterostructure. A small resistance across the barrier is observed even deep inside the closed regime. We have used semiclassical simulations to explain this behavior quantitatively in terms of a combined effect of elastic electron scattering inside the barrier region and E x B drift at the intersection of the magnetic barrier with the edge of the Hall bar.