  We propose and theoretically investigate a novel Maxwell's demon
implementation based on the spin-momentum locking property of topological
matter. We use nuclear spins as a memory resource which provides the advantage
of scalability. We show that this topological information device can ideally
operate at the Landauer limit; the heat dissipation required to erase one bit
of information stored in the demon's memory approaches $k_B T\ln2$.
Furthermore, we demonstrate that all available energy, $k_B T\ln2$ per one bit
of information, can be extracted in the form of electrical work. Finally, we
find that the current-voltage characteristics of topological information device
satisfy the conditions of an ideal memristor.
