A memristive model for graphene emitters: hysteresis and self-crossing
D.V. Gorodetskiy, S.N. Shevchenko, A.V. Gusel'nikov, A.V. Okotrub

TL;DR
This paper presents a memristive model for graphene field emitters that captures hysteresis and self-crossing behaviors in current-voltage characteristics, aiding in understanding and designing graphene-based electronic devices.
Contribution
A novel two-stage memristive model specifically describing hysteresis and self-crossing in graphene emitter field emission characteristics.
Findings
Model accurately describes hysteresis in graphene emitters.
Captures self-crossing behavior in I-V curves.
Provides a quantitative tool for device analysis.
Abstract
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. We developed a two-stage model to describe hysteretic characteristics, 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 display also an unusual self-crossing behavior. The presented memristive model can be used for quantitative descriptions 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.
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