Graphene Electronic Structure and Transport Properties

Graphene, a single layer of sp2-bonded carbon atoms arranged in a honeycomb lattice, exhibits distinctive electronic bands that meet at points of zero energy separation, known as Dirac points. Near these points, electrons and holes behave as massless Dirac fermions, giving rise to a linear energy–momentum relation, extremely high carrier mobility and the possibility of ballistic transport over micrometre distances. The density of states vanishes at the Dirac point, making graphene highly sensitive to external perturbations such as chemical doping, strain, substrate interactions and stacking order. These perturbations can open a band gap, induce charge redistribution and alter scattering processes, thereby tuning the electrical conductance. Phonon scattering, charged impurities and interlayer coupling in multilayer assemblies are key factors that limit mobility in practical devices. Mastery of these variables underpins the design of next-generation electronics, photonics and sensors, and provides a versatile platform for exploring correlated quantum phenomena in engineered moiré structures.

Research from Nature Portfolio

Early experimental work confirmed graphene’s relativistic charge carriers by observing anomalous half-integer quantum Hall plateaux and verifying the linear dispersion near the Dirac point. Subsequent foundational studies revealed that a small twist between two graphene layers creates a moiré superlattice with nearly flat bands, enabling correlated insulating states and unconventional superconductivity at the magic angle. More recent investigations have shown that a deliberate ordering of substitutional impurities within the carbon lattice produces a tunable band gap and triggers a reversible metal–dielectric transition, thus providing a pathway to modulate conductance in a controlled manner.

Graphene Electronic Structure and Transport Properties publication trend

The graph below shows the total number of articles in graphene electronic structure and transport properties across all publications each year (not limited to Nature Index journals).

Technical terms

Dirac cone: Linear energy–momentum relation near the K points in graphene’s band structure.

Band gap: Energy separation between the valence and conduction bands.

Quantum Hall effect: Formation of quantised Hall conductance plateaux in two-dimensional systems under magnetic field.

Moiré superlattice: Periodic interference pattern created by a small rotational misalignment between two layered crystals.

Ballistic transport: Conduction regime in which electrons propagate without scattering over significant distances.

References

1. Synthesis and Applications of Semiconducting Graphene. Journal of Nanomaterials (2016).
2. Influence of the ordering of impurities on the appearance of an energy gap and on the electrical conductance of graphene. Scientific Reports (2018).
3. Quantum transport in self-similar graphene carpets. Physical Review Research (2020).
4. Toward Optimized Charge Transport in Multilayer Reduced Graphene Oxides. Nano Letters (2022).