Translation-enriched $Z_2$ spin liquids and topological vison bands: Possible application to $\alpha$-RuCl${}_3$

Xue-Yang Song, T. Senthil

Inspired by experiments on the magnetic field induced phases of the spin-orbit coupled $2d$ Mott insulator $\alpha$-RuCl${}_3$, we study some general aspects of gapped $Z_2$ Quantum Spin…