Title: Quantum phase diagram of non-Hermitian dirty cubic and Dirac crystals*

Abstract: The Anderson metal-insulator transition on a cubic lattice and the semimetal-metal transition in a disordered Dirac crystal have been extensively studied in the literature. Here, we consider a generalization of these scenarios in non-Hermitian systems, where the corresponding tight-binding operators continue to feature real eigenvalue spectrum. Using the kernel polynomial method, we numerically demonstrate that the metallic state in these two systems stabilizes over a smaller and larger range of disorder, respectively. Additionally, we support the semimetal-metal quantum phase transition in moderately disordered non-Hermitian Dirac crystals with a field-theoretic renormalization group calculation.