  We consider the quantum spin hall state in a three orbital model due to
certain loop current order induced by spin-dependent interactions. This type of
order is motivated by the loop current model which is proposed to describe the
pseudogap phase of cuprates. It is shown that this model has nontrivial Chern
parity by directly counting the zeros of the Pfaffian of time reversal
operator. By connecting to the second order Chern number, we explicitly show
the singularities of wave-functions and how they depend on gauge choices. In
this case, it is shown that the Berry phase can be mapped to Nonabelian
instanton.
