  Staggered fermions with smeared links can have greatly improved chiral
properties. In a recent paper we introduced a simple and effective method to
simulate four flavors of staggered smeared link fermions. In this work we
extend the four flavor method to two flavors. We define the two flavor action
by the square root of the four flavor fermionic determinant and show that by
using a polynomial approximation the two flavor action can be evaluated with
the necessary accuracy. We test this method by studying the finite temperature
phase structure with hypercubic smeared (HYP) link staggered action on N_t=4
temporal lattices.
