SciPost Physics

SciPost Phys. 14, 119 (2023) · published 17 May 2023

• doi: 10.21468/SciPostPhys.14.5.119
• pdf
• BiBTeX
• RIS
• Submissions/Reports
• 

Abstract

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.

• Könye et al., Anisotropic optics and gravitational lensing of tilted Weyl fermions
  Phys. Rev. B 107, L201406 (2023) [Crossref]
• Dalui et al., Spinning black hole in a fluid
  Phys. Rev. D 109, 064055 (2024) [Crossref]
• Schmidt et al., Cosmological particle production in a quantum field simulator as a quantum mechanical scattering problem
  Phys. Rev. D 110, 123523 (2024) [Crossref]
• Song et al., Bound-Extended Mode Transition in Type-II Synthetic Photonic Weyl Heterostructures
  Phys. Rev. Lett. 132, 143801 (2024) [Crossref]
• Jana et al., Gravitational lensing and tunneling of mechanical waves in synthetic curved spacetime
  Phys. Rev. Research 5, 033104 (2023) [Crossref]