  In this paper, we study the multi-dimensional mean-field backward stochastic
differential equations (BSDEs, for short) with quadratic growth. Under small
terminal value, the existence and uniqueness are proved for the
multi-dimensional situation when the generator f(t,Y,E[Y],Z,E[Z]) is of
quadratic growth with respect to the last four items, using some new methods.
Besides, a kind of comparison theorem is obtained.
