  Chiral materials are the ideal playground for exploring the relation between
symmetry, relativistic effects, and electronic transport. For instance, chiral
organic molecules have been intensively studied to electrically generate
spin-polarized currents in the last decade, but their poor electronic
conductivity limits their potential for applications. Conversely, chiral
inorganic materials such as Tellurium are excellent electrical transport
materials, but have not been explored to enable the electrical control of spin
polarization in devices. Here, we demonstrate the all-electrical generation,
manipulation, and detection of spin polarization in chiral single-crystalline
Tellurium nanowires. By recording a large (up to 7%) and chirality-dependent
unidirectional magnetoresistance, we show that the orientation of the
electrically generated spin polarization is determined by the nanowire
handedness and uniquely follows the current direction, while its magnitude can
be manipulated by an electrostatic gate. Our results pave the way for the
development of magnet-free chirality-based spintronic devices.
