Anisotropic optics and gravitational lensing of tilted Weyl fermions

Abstract

We show that tilted Weyl semimetals with a spatially varying tilt of the Weyl cones provide a platform for studying analogues to problems in anisotropic optics as well as curved spacetime. Considering particular tilting profiles, we numerically evaluate the time evolution of electronic wave packets and their current densities. We demonstrate that electron trajectories in such systems can be obtained from Fermat's principle in the presence of an inhomogeneous, anisotropic effective refractive index. On the other hand, we show how the electrons dynamics reveal gravitational features and use them to simulate gravitational lensing around a synthetic black hole. These results bridge optical and gravitational analogies in Weyl semimetals, suggesting novel pathways for experimental solid-state electron optics.

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Cited by in corpus (6)

• Emergent curved space and gravitational lensing in quantum materials
• Tilted Dirac superconductor at quantum criticality: Restoration of Lorentz symmetry
• Yukawa-Lorentz Symmetry of Tilted Non-Hermitian Dirac Semimetals at Quantum Criticality
• Axion electrodynamics of Weyl superconductors with broken time-reversal symmetry
• Synthetic horizons in an atomic chain: Horizon-induced effects and connections to quantum Hall systems
• Interplay of Tilt and Axion Fields in Topological Superconductors: Anisotropy in the Meissner Effect