Black hole mirages: Electron lensing and Berry curvature effects in inhomogeneously tilted Weyl semimetals
Andreas Haller, Suraj Hegde, Chen Xu, Christophe De Beule, Thomas L. Schmidt, Tobias Meng
SciPost Phys. 14, 119 (2023) · published 17 May 2023
We study electronic transport in Weyl semimetals with spatially varying nodal tilt profiles. We find that the flow of electrons can be guided precisely by judiciously chosen tilt profiles. In a broad regime of parameters, we show that electron flow is described well by semiclassical equations of motion similar to the ones governing gravitational attraction. This analogy provides a physically transparent tool for designing tiltronic devices like electronic lenses. The analogy to gravity circumvents the notoriously difficult full-fledged description of inhomogeneous solids. A comparison to microscopic lattice simulations shows that it is only valid for trajectories sufficiently far from analogue black holes. We finally comment on the Berry curvature-driven transverse motion and relate the latter to spin precession physics.
Cited by 2
Authors / Affiliations: mappings to Contributors and OrganizationsSee all Organizations.
- 1 Andreas Haller,
- 2 Suraj Hegde,
- 2 Chen Xu,
- 1 3 Christophe De Beule,
- 1 Thomas L. Schmidt,
- 2 Tobias Meng
- 1 Université du Luxembourg / University of Luxembourg
- 2 Technische Universität Dresden / Dresden University of Technology [TUD]
- 3 University of Pennsylvania [UPenn]