Negative Differential Resistance Phenomena in Graphene Nanostructures

Negative differential resistance (NDR) in graphene nanostructures manifests as a non-monotonic current–voltage characteristic in which, beyond a threshold voltage, the current decreases with increasing bias. This behaviour emerges from quantum transport effects such as resonant tunnelling, Fabry–Pérot-like interference and wave-vector matching between Dirac points. In graphene oxide devices, local charge-activated electrochemical reactions can trigger NDR at ambient conditions. In vertical heterostructures combining graphene with thin insulating films, gate-tunable multiple resonant peaks arise from constructive and destructive quantum interference. Planar nanoribbon-based resonant tunnelling diodes exploit edge-state quantisation and coupled quantum dots to achieve high peak-to-valley ratios and voltage-selective switching. Furthermore, atomic-scale engineering of defects at graphene–boron nitride interfaces offers precise control over resonance conditions. Together, these developments highlight the potential of graphene NDR for ultrafast logic elements, terahertz oscillators and high-density memory in emerging carbon-based electronics.

Research from Nature Portfolio

Recent studies have demonstrated negative differential resistance in two-terminal graphene oxide devices through a hybrid thermal and Joule heating process that precisely controls the ratio of functional groups. Charge-activated local reactions on the oxide surface give rise to a pronounced NDR regime, offering opportunities for switchable device architectures operable in air. In vertical graphene–hBN–graphene heterostructures, gate-controllable NDR with multiple resonant peaks has been observed. Two distinct mechanisms—Fabry–Pérot-like cavity resonances and in-plane wave-vector alignment of Dirac cones—govern the effect under different biasing conditions. The resonant peaks remain robust against device scaling and can be tuned by varying the number of insulating layers, while electron–phonon scattering selectively suppresses the interference-based mechanism. These findings point to ultrafast tunnelling transistors with configurable nonlinear characteristics.

Negative Differential Resistance Phenomena in Graphene Nanostructures publication trend

The graph below shows the total number of articles in negative differential resistance phenomena in graphene nanostructures across all publications each year (not limited to Nature Index journals).

Technical terms

Negative differential resistance: A regime in which an increase in applied voltage leads to a decrease in current flow.

Graphene nanoribbon (GNR): A narrow strip of graphene whose electronic properties depend on its width and edge geometry.

Resonant tunnelling: A quantum transport process in which electrons traverse potential barriers at discrete energies, producing current peaks.

Fabry–Pérot interference: Quantum interference arising from multiple reflections of electron wavefunctions between two potential barriers.

Lateral heterojunction: An interface formed side by side between two different semiconductor materials within the same plane.

References

1. Observation of negative differential resistance in mesoscopic graphene oxide devices. Scientific Reports (2018).
2. Negative Differential Resistance in Boron Nitride Graphene Heterostructures: Physical Mechanisms and Size Scaling Analysis. Scientific Reports (2015).
3. All-Graphene Planar Double-Quantum-Dot Resonant Tunneling Diodes. IEEE Journal of the Electron Devices Society (2015).
4. Effect of substitutional defects on resonant tunneling diodes based on armchair graphene and boron nitride nanoribbons lateral heterojunctions. Beilstein Journal of Nanotechnology (2020).