Parallel Hall effect from 3D single-component metamaterials

TL;DR

This paper introduces 3D single-component metamaterials that exhibit a parallel Hall effect, where the Hall voltage aligns with the magnetic field, a phenomenon controlled by structural parameters, expanding the understanding of Hall effects.

Contribution

It presents a novel 3D metamaterial design that produces a parallel Hall effect, a behavior not observed in traditional materials, with tunable sign based on structure.

Findings

Demonstration of a parallel Hall voltage aligned with magnetic field

Ability to control the sign of the Hall voltage via structure parameters

Identification of four possible sign combinations of Hall voltages

Abstract

We propose a class of three-dimensional metamaterial architectures composed of a single doped semiconductor (e.g., n-Si) in air or vacuum that lead to unusual effective behavior of the classical Hall effect. Using an anisotropic structure, we numerically demonstrate a Hall voltage that is parallel---rather than orthogonal---to the external static magnetic-field vector ("parallel Hall effect"). The sign of this parallel Hall voltage can be determined by a structure parameter. Together with the previously demonstrated positive or negative orthogonal Hall voltage, we demonstrate four different sign combinations