  We study the layer of electrons on bare strange star surfaces, taking the
Dirac exchange-energy into account. Because electrons are fermions, the
electron wave function must be of exchange-antisymmetry. The Dirac
exchange-energy originates, consequently, from the exchange-antisymmetry of
electron wave functions. This consideration may result in changing the electron
distribution and the electric field on the surface of bare strange star. The
strong magnetic field effect on the structures of the electrospheres is also
discussed.
