  We study the behavior of holographic entanglement entropy (HEE) for
imbalanced holographic superconductors. We employ a numerical approach to
consider the robust case of fully back-reacted gravity system. The hairy black
hole solution is found by using our numerical scheme. Then it is used to
compute the HEE for the superconducting case. The cases we study show that in
presence of a mismatch between two chemical potentials, below the critical
temperature, superconducting phase has a lower HEE in comparison to the
AdS-Reissner-Nordstrom black hole phase. Interestingly, the effects of chemical
imbalance are different in the contexts of black hole and superconducting
phases. For black hole, HEE increases with increasing imbalance parameter while
it behaves oppositely for the superconducting phase. The implications of these
results are discussed.
