Nonlinear Hall Effect in Metal-Organic Frameworks

TL;DR

This paper explores how metal-organic frameworks can be engineered to exhibit nonlinear Hall effects by manipulating their symmetry and electronic properties, offering new avenues for tunable electronic responses.

Contribution

It introduces a universal analytical scheme to model MOFs' electronic structures and identifies synthetic pathways to control nonlinear Hall responses.

Findings

Mapping MOFs onto lattice models reproduces Dirac features.

Spin-orbit coupling and symmetry breaking create Berry-curvature hot spots.

Synthetic linker design can engineer nonlinear Hall transport.

Abstract

We propose metal-organic frameworks (MOFs) as tunable platforms for nonlinear Hall responses. A universal analytical downfolding scheme maps $C_3$-symmetric frameworks onto star- and honeycomb-lattice models, reproducing first-principles Dirac features. Spin-orbit coupling and broken inversion symmetry gap the Dirac cones, generating Berry-curvature hot spots. Symmetry analysis identifies tailored synthetic pathways, including linker design, as intrinsic routes to engineer nonlinear Hall transport beyond strain and substrate control.