A single-layer infinite projected entangled-pair state study of the chiral antiferromagnetic Heisenberg model on Kagome lattice

In this talk, we present the study of the chiral antiferromagnetic Heisenberg model on Kagome lattice by using the infinite projected entangled-pair state ansatz. We discuss how to develop an efficient optimization algorithm in the framework of the single-layer tensor network with reduced computation cost O(D^9), where D is the so-called bond dimension of local tensors. We show that the algorithm is stable, providing accurate results similar to previous double-layer tensor network ansatz. We compare the extracted phase diagram with previous DMRG study and additionally show that only for strong chrial couplings the correlation length, extracted from the transfer matrix, reaches a fixed value for the largest bond dimensions, representing a gaped chiral state.