Quantum Spin Liquid and Proximate Magnetic Orders in Magnets with Spin-Orbit Coupling

Quantum phase transitions out of magnetic orders in quantum spin liquid (QSL) phases have gained much recent attention in the context of several spin-orbit coupled magnets such as α-RuCl₃, Yb₂Ti₂O₇ etc. In this talk, I shall report our theoretical calculations about the nature of such unconventional phase transition in a class of experimentally relevant Hamiltonians in the honeycomb magnets. In particular, we shall show how such deconfined quantum phase transitions are naturally captured in terms of the condensation of the fractionalised excitations of the QSL. In addition, we shall show how to think about such transitions in terms of the domain walls of the magnetically ordered phases.