Quantum phase transition in a non-Hermitian XY spin chain with global complex transverse field

In this work, we investigate the quantum phase transition in a non-Hermitian XY spin chain. The diagram shows that critical points of Ising expand into zone after introducing effect. By analyzing gap and long-range correlation function, one can distinguish different phases by means features decay properties tricky problem traditional model. Furthermore, results reveal relationship among regions diagram, energy function.