Doping the chiral spin liquid -- topological superconductor or chiral metal?

Understand

We point out that there are two different chiral spin liquid states on the triangular lattice and discuss the conducting states that are expected on doping them.

• These states labeled CS1 and CS2 are associated with two distinct topological orders with different edge states, although they both spontaneously break time reversal symmetry and exhibit the same quantized spin Hall conductance.
• While CSL1 is related to the Kalmeyer-Laughlin state, CSL2 is the $\nu =4$ member of Kitaev's 16 fold way classification.
• Both states are described within the Abrikosov fermion representation of spins, and the effect of doping can be accessed by introducing charged holons.