[en] 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 wide 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, such as electronic lenses. The analogy to gravity circumvents the notoriously difficult full-fledged description of inhomogeneous solids, but 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.
Disciplines :
Physics
Author, co-author :
Haller, Andreas ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
Hegde, Suraj; Technische Universität Dresden > Institute of Theoretical Physics
Xu, Chen; Technische Universität Dresden > Institute of Theoretical Physics
De Beule, Christophe ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS) ; University of Pennsylvania - Penn > Department of Physics and Astronomy
Schmidt, Thomas ; University of Luxembourg > Faculty of Science, Technology and Medicine (FSTM) > Department of Physics and Materials Science (DPHYMS)
Meng, Tobias; Technische Universität Dresden > Institute of Theoretical Physics
External co-authors :
yes
Language :
English
Title :
Black hole mirages: electron lensing and Berry curvature effects in inhomogeneously tilted Weyl semimetals
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