  The emergence of graphene and two-dimensional van der Walls materials renewed
interest to investigation of the low-frequency noise in the low-dimensional
systems. The layered van der Waals materials offers unique opportunities for
studying the low-frequency noise owing to the properties controlled by the
thickness of these materials, and tunable carrier concentration. In this
review, we describe unusual low-frequency noise phenomena in quasi-2D and
quasi-1D van der Waals materials. We also demonstrate that the low-frequency
noise spectroscopy is a powerful tool for investigation of the electron
transport and charge-density-wave phase transitions in this class of materials.
