  We study the behavior of spinless fermions in superconducting state, in which
the phases of the superconducting order parameter depend on the direction of
the link. We find that the energy of the superconductor depends on the phase
differences of the superconducting order parameter. The solutions for the
phases corresponding to the energy minimuma, lead to a topological
superconducting state with the nontrivial Chern numbers. We focus our
quantitative analysis on the properties of topological states of
superconductors with different crystalline symmetry and show that the phase
transition in the topological superconducting state is result of spontaneous
breaking of time-reversal symmetry in the superconducting state. The
peculiarities in the chiral gapless edge modes behavior are studied, the Chern
numbers are calculated.
