Off-Diagonal Symmetric Exchange on the Kagome Lattice*

Recent years have seen a surge of interest in spin-orbit entangled Mott insulators, largely driven by the tantalizing prospect of realising the physics of Kitaev's celebrated honeycomb model. However, there are also other distinct exchange interactions that can be generated in such Mott insulators, which come with their own unique physics and intriguing properties. Here, we focus on off-diagonal symmetric exchange on the kagome lattice. In the classical limit the model, with an antiferromagnetic sign, leads to classical spin liquid behavior. On the other hand, in the quantum spin-1/2 limit, quantum fluctuations drive the system into an ordered ground state. We will discuss various elements of the classical and quantum limits using a variety of analytical and numerical techniques, shedding light on these new exchange models within the realm of quantum magnetism.