  We study the antiferromagnetic kagome Heisenberg model with additional
scalar-chiral interaction by using the infinite projected entangled-pair state
(iPEPS) ansatz. We discuss in detail the implementation of optimization
algorithm in the framework of the single-layer tensor network based on the
corner-transfer matrix technique. Our benchmark based on the full-update
algorithm shows that the single-layer algorithm is stable, which leads to the
same level of accuracy as the double-layer ansatz but with much less
computation time. We further apply this algorithm to study the nature of the
kagome Heisenberg model with a scalar-chiral interaction by computing the bond
dimension scaling of magnetization, bond energy difference, chiral order
parameter and correlation length. In particular, we find that for strong chiral
coupling the correlation length, which is extracted from the transfer matrix,
saturates to a finite value for large bond dimension, representing a gapped
spin-liquid state. Further comparison with density matrix renormalization group
results supports that our iPEPS faithfully represents the time-reversal
symmetry breaking chiral state. Our iPEPS simulation results shed new light on
constructing PEPS for describing gapped chiral topological states.
