▎ 摘　　要

Hysteresis exhibited by current-voltage characteristics during field-emission experiments is often considered undesirable in terms of practical applications. However, this is an appealing effect for the purposes of memristive devices. A two-stage model to describe hysteretic characteristics is developed, with a particular focus on the system which includes a cathode made of a single-layered graphene sheet on a substrate. In addition to hysteresis, the current-voltage curves also display an unusual self-crossing behavior. The presented memristive model can be used for quantitative description of different hysteretic characteristics such as abrupt changes and self-crossings and for understanding and modeling the processes associated with field emission from plane graphene emitters.