Quantum Properties of Graphene Nanostructures

Graphene nanostructures, encompassing ribbons, flakes and dots derived from a single layer of carbon atoms, exhibit a rich array of quantum phenomena. The linear energy–momentum relationship of massless Dirac fermions in graphene underpins high carrier mobility and unusual transport properties, while reducing dimensions to one or zero dimensions introduces quantum confinement and discrete energy levels. At the edges of nanoribbons and quantum dots, specialised electronic states emerge, often forming nearly flat bands that enhance electron–electron interactions and spin polarisation. Twisting or stacking such nanostructures further produces moiré patterns that give rise to tunable flat bands and correlated phases. Collectively, these effects enable control over bandgaps, magnetism and spin currents, opening routes to low-power electronics, spintronic devices and quantum information platforms.

Research from Nature Portfolio

Recent studies have demonstrated that twisting two one-dimensional graphene nanoribbons by small angles and varying their lateral offset can tune the energy and spin degeneracy of emergent flat-band edge states. Scanning probe and first-principles analyses reveal near-zero-energy modes whose spatial localisation and magnetic character are highly sensitive to twist angle and stacking registry. In parallel, epitaxial growth of graphene on hexagonal boron nitride substrates has been shown to introduce a bulk bandgap through sublattice asymmetry, while preserving distinct zigzag and armchair edge resonances that manifest as localised states at the Fermi level. Moreover, investigations of grain boundaries in chemical-vapour-deposited graphene have uncovered arrays of point defects that deviate from pristine bipartite symmetry, giving rise to dispersionless flat bands and robust interfacial magnetisation, with potential for spin-filtering applications.

Quantum Properties of Graphene Nanostructures publication trend

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

Technical terms

Graphene nanoribbon: A narrow strip of graphene with well-defined edge geometry that modifies its electronic band structure.

Edge state: A localised electronic state at the boundary of a nanostructure, often flat in energy and prone to strong interactions.

Flat band: An energy band with minimal dispersion, leading to high density of states and enhanced correlation effects.

Quantum confinement: Restriction of electron motion to dimensions comparable with its wavelength, resulting in discrete energy levels.

Moiré superlattice: A larger periodic pattern arising from the interference of two overlaid lattices with a relative twist or lattice mismatch.

References

1. Twisted bilayer zigzag-graphene nanoribbon junctions with tunable edge states. Nature Communications (2023).
2. Electronic transport properties of graphene nanoribbons. New Journal of Physics (2009).
3. Energy Bandgap and Edge States in an Epitaxially Grown Graphene/h-BN Heterostructure. Scientific Reports (2016).
4. Magnetization due to localized states on graphene grain boundary. Scientific Reports (2015).
5. Properties and applications of quantum dots derived from two-dimensional materials. Advances in Physics X (2022).
6. Electronic structure of triangular, hexagonal and round graphene flakes near the Fermi level. New Journal of Physics (2008).