Parity violation and superconductivity in two-dimensional correlated electronic systems

It is shown that the parity-violated ground state of two-dimensional strongly correlated electronic systems (commensurate flux state) provides a physical realization of the anyon mechanism of superconductivity. The electromagnetic response of the commensurate flux state is calculated. It is found that the superconducting ground state is accompanied by the restoration of parity and time-reversal symmetry: the parity-violation signal is very small at low energies and momentum, and vanishes in the static limit as well as in the uniform limit.