Amperean Pairing Instability in the U(1) Spin Liquid State with Fermi   Surface and Application to $\kappa-(BEDT-TTF)_2 Cu_2 (CN)_3$
  Recent experiments on the organic compound $\kappa-(BEDT-TTF)_2 Cu_2 (CN)_3$ raise the possibility that the system may be described as a quantum spin liquid. Here we propose a pairing state caused by the `Amperean' attractive interaction between spinons on a Fermi surface mediated by the U(1) gauge field. We show that this state can explain many of the observed low temperature phenomena and discuss testable consequences. 
Sung-Sik Lee, Patrick A. Lee, T. Senthil