Mobility edges and Lyapunov exponents of one-dimensional mosaic models with nonreciprocal hopping

We establish in one dimension a general mapping of mosaic models with nonreciprocal hopping to their non-mosaic counterparts of which the critical points of localization are already known. The mapping gives birth to the mobility edges of these nonreciprocal mosaic models and even the Lyapunov exponents if the non-mosaic counterpart is given. For demonstrations, we take an Aubry-Andre-like model with complex quasiperiodic potentials and the Ganeshan-Pixley-Das Sarma model to show the mapping's validity, successfully obtaining the mobility edges and the Lyapunov exponents of their nonreciprocal mosaic counterparts. This general mapping may pave the way of studying mobility edges, Lyapunov exponents, and in principle other important quantities of nonreciprocal mosaic models.