Zhang, LiKe, YongguanLiu, WenjieLee, Chaohong2023-06-142023-06-142469-9926http://hdl.handle.net/1885/293465We investigate many-body localization of interacting spinless fermions in a one-dimensional disordered and tilted lattice. The fermions undergo energy-dependent transitions from ergodic to Stark many-body localization driven by the tilted potential, which are manifested by the appearance of mobility edges between delocalized states and Stark many-body localized states even when the disorder is weak. We can concretely diagnose these transitions rather than crossovers by finite-size scaling of energy-level statistics. Moreover, in the Stark many-body localization, the entanglement entropy obeys the area law scaling, in analogy to that in the conventional many-body localization.This work is supported by the Key-Area Research and Development Program of GuangDong Province under Grant No. 2019B030330001, the National Natural Science Foundation of China (NNSFC) under Grants No. 11874434 and No. 11574405, and the Science and Technology Program of Guangzhou (China) under Grant No. 201904020024. Y.K. was partially supported by the Office of China Postdoctoral Council (Grant No. 20180052) and the National Natural Science Foundation of China (Grant No. 11904419)application/pdfen-AU© 2021 American Physical Society202110.1103/PhysRevA.103.0233232022-04-03