Magnetic phase diagram of dipolar-octupolar pyrochlores

Recent experiments have revealed intriguing magnetic properties in a variety of rare-earth pyrochlores R2M2O7 with magnetic ions R=Nd, Sm, Ce. Common to these systems is a low energy crystal field doublet with so-called "dipolar-octupolar" character. This is associated with several interesting phenomena including magnetic moment fragmentation and possible quantum spin liquid ground states. Additionally, the application of a magnetic field in the (1,1,1) or (1,1,0) directions allows tuning from a fully 3-dimensional state in zero field to 2-dimensional or 1-dimensional states in high field. This rich set of phenomena calls for a unified description with which we can quantitatively understand and predict the properties of dipolar-octupolar pyrochlores. In this talk, we will explore the magnetic phase diagram of these materials in applied magnetic fields using a combination of analytical and numerical methods. Particular attention will be paid to the emergent low dimensional states induced by external fields along the (1,1,1) and (1,1,0) directions. This work will enable us to explain the behaviour of diverse dipolar-octupolar pyrochlores and the emergence of new quantum states in these systems.