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We consider a class of d- and f-electron systems in which dipolar-octupolarKramers doublets arise on the sites of the pyrochlore lattice. For suchdoublets, two components of the pseudospin transform like a magnetic dipole,while the other transforms like a component of the magnetic octupole tensor.Based on a symmetry analysis, we construct and study models ofdipolar-octupolar doublets in itinerant and localized limits. In both limits,the resulting models are of surprisingly simple form. In the itinerant limit,we find topological insulating behavior. In the localized limit, the mostgeneral nearest-neighbor spin model is the XYZ model. We show that this XYZmodel exhibits two distinct quantum spin ice (QSI) phases, that we dub dipolarQSI, and octupolar QSI. We conclude with a discussion of potential relevance toreal material systems.

Quantum spin ices and topological phases from dipolar-octupolar doublets on the pyrochlore lattice