Topological chiral superconductivity beyond pairing in a Fermi liquid

The BCS theory of superconductivity is based on determinant or Pfaffian wave functions, which also describe Fermi liquids. Here, the authors develop a new theory of superconductivity in two dimensions, based on product wave functions. The new superconductivity is shown to be induced by purely repulsive interactions for flat dispersion \ensuremath{\epsilon}\ensuremath{\sim}${k}^{4}$, and can potentially have high transition temperatures. The resulting chiral superconductors display topological order, fractional statistics, and chiral edge states.