  We investigate the harmonically trapped 2D fermionic systems with a effective
spin-orbit coupling and intrinsic s-wave superfluidity under the local density
approximation, and find that there is a critical value for Zeeman field. When
the Zeeman field larger than the critical value, the topological superfluid
phases emerge and coexist with the normal superfluid phase, topological phase
separation, in the trapped region. Otherwise, the superfluid phase is
topologically trivial.
