  We develop a lattice model which exhibits topological transitions from $Z_2$
topological insulators to mirror symmetry-protected topological crystalline
insulators by introducing additional spin-orbit coupling terms. The topological
phase is characterized by the mirror winding number, defined within the mirror
symmetry invariant subspace, which ensures the protection of gapless edge
states and zero-energy corner states under specific boundary conditions.
Additionally, we propose a feasible scheme using ultracold atoms confined in a
stacked hexagonal optical lattice with Raman fields to realize the
two-dimensional topological crystalline insulators. Detection of the mirror
winding number in these systems can be achieved by implementing a simple quench
sequence and observing the evolution of the time-of-flight patterns.
