In quantum materials with long-wavelength spin (or pseudospin) textures, an effective gravitational field naturally emerges. When conduction electrons are strongly coupled to the background spin texture, they behave as spinless particles in a curved space whose curvature stems from quantum corrections to the spin orientation. This curved space gives rise to electronic lensing — an analogue of gravitational lensing. The effect appears in systems with no magnetic field, such as those with coplanar spin textures. It is shown that non-adiabaticity generates 'gravitational' phenomena in quantum systems, opening new directions in quantum physics.
In some magnetic materials, electron spins — their intrinsic rotation — line up in an orderly pattern. Flying through such a pattern, an electron cannot instantly adjust its own spin to the surroundings. Its trajectory bends, as if it were rolling over an invisible curved landscape. Surprisingly, this requires neither an external magnet nor an electric field — just the collective dance of spins.
This miniature effect replicates the curvature of space by massive bodies, described by Einstein in the general theory of relativity. A beam of electrons passing through the material can focus — exactly like light from a distant star bending around a black hole. By changing the spin pattern, such an 'electron lens' can be controlled on the fly, paving the way for ultra-compact devices and laboratory models of gravitational phenomena.
🎯 Gravitational lensing was predicted by [scientist:Albert Einstein]Einstein[/scientist] in 1912, but the first observation occurred only in 1979: astronomers saw a distant quasar split into two images due to a massive galaxy.
🎬 The idea of controlled bending of particle paths echoes warp drives from science fiction, where space contracts in front of a ship.