Twisted and rhombohedral multilayer graphene

C (two or more graphene layers)

Also called magic-angle twisted bilayer graphene, MATBG, moiré graphene, ABC-stacked graphene

van der Waals crystal depends on form

Stack two graphene sheets with a twist of about one degree and the result behaves like neither sheet: it can be an insulator, a superconductor or a magnet, switched with a voltage. It turned the angle between layers into a design parameter and made plain carbon a testbed for some of the hardest problems in physics. It has no application yet – the effects appear only a few degrees above absolute zero.

Key properties

  • Magic angle ≈ 1.1°, where the two lowest moiré bands become nearly flat (bandwidth of order 10 meV)
  • Superconductivity with Tc ≈ 1.7 K near half filling of the flat band (2018); around 3 K in later, more homogeneous devices
  • Correlated insulators at integer fillings; orbital ferromagnetism and a quantised anomalous Hall effect when aligned with hBN
  • Filling the flat bands completely (four electrons per moiré cell) needs only ~3 × 1012 electrons per cm2, reachable with an ordinary gate
  • Rhombohedral pentalayer graphene on hBN shows the fractional quantum anomalous Hall effect at zero magnetic field (2024)

How it is made

  • Tear-and-stack: pick up half of an exfoliated flake with hBN on a polymer stamp, rotate the stage, pick up the other half – the standard route, with twist accuracy of roughly 0.1°
  • Rhombohedral multilayers: locate ABC domains in exfoliated graphite by Raman or near-field infrared imaging, then isolate them before they relax to Bernal stacking
  • In-situ twist control with AFM tips or MEMS actuators – research only
  • Direct CVD growth of twisted bilayers – angle control remains poor

Uses, and how close they are

  • Platform for correlated and topological electron stateslab
  • Superconducting single-photon and bolometric detectors (single infrared photons detected in 2024)lab

Readiness runs lab → prototype → pilot → deployed.

Open problems

  1. What is the pairing mechanism – phonon-mediated, or driven by electronic correlations and the quantum geometry of the flat bands?
  2. How much of the measured phase diagram is intrinsic, and how much is set by twist-angle disorder, heterostrain and hBN alignment?
  3. Can zero-field fractional Chern insulator states be stabilised at higher temperatures and used for topologically protected qubits?

Going deeper

Short notes for specialists. Choose a lens in the header and yours comes first.

For theoreticians · your lens

The Bistritzer–MacDonald continuum model captures the flat bands, but the interesting physics is interaction-driven: Hartree–Fock and DMRG studies favour symmetry-broken ground states such as the incommensurate Kekulé spiral, the topological heavy-fermion picture maps the problem onto localised f-like orbitals coupled to Dirac c-electrons, and fragile topology forbids a naive Wannier description. Lattice relaxation and heterostrain must be included, and quantum geometry contributes directly to the superfluid stiffness.

For experimentalists · your lens

Device quality is dominated by twist-angle homogeneity: map it with Landau-level fans on many contact pairs, or with scanning SET and nano-SQUID probes. Use dual gates to separate carrier density from displacement field, avoid high-temperature anneals that let the layers rotate towards alignment, and expect only a fraction of stacks to land near the target angle.

For engineers · your lens

Not an engineering material today: the effects need temperatures below about 10 K, and no process sets a twist angle reproducibly across a wafer. Its engineering significance is indirect – it is the strongest evidence that stacking order is a design variable, which is why deterministic, automated stacking tools are now being developed.

In the research tracks

Recent news

The newest items tagged Twisted graphene, from the news feed updated 5 Oct 2026.

Preprintnot yet peer reviewed arXiv

Electrostatic Doping of Moiré Superlattices Controls the Optical Fingerprint of a WSe_2 /Twisted Bilayer Graphene heterostructure

We theoretically investigate the optical response of the WSe2 monolayer vertically stacked on twisted bilayer graphene (tBG) under electrostatic doping. In this heterostructure, the doped moiré superlattice of tBG generates a spatially modulated electrostatic potential that couples to the electron and hole constituents…

Preprintnot yet peer reviewed arXiv

Electrostatic Doping of Moiré Superlattices Controls the Optical Fingerprint of a WSe_2 /Twisted Bilayer Graphene heterostructure

We theoretically investigate the optical response of the WSe2 monolayer vertically stacked on twisted bilayer graphene (tBG) under electrostatic doping. In this heterostructure, the doped moiré superlattice of tBG generates a spatially modulated electrostatic potential that couples to the electron and hole constituents…

Preprintnot yet peer reviewed arXiv

Parafermions in fractional Chern insulator-superconductor heterostructures: the role of spin polarization

Most proposals for Z3 parafermions in fractional quantum Hall-superconductor structures used the spin-unpolarized ν= 2/3 Halperin (1,1,2) state. The fractional quantum anomalous Hall (FQAH) states of twisted MoTe2 and rhombohedral graphene are believed to be spin- and valley-polarized Jain states, with the same…

All 82 items tagged Twisted graphene in the news feed  ·  RSS feed for Twisted graphene

Key references

  1. Moiré bands in twisted double-layer grapheneBistritzer & MacDonald · PNAS 108, 12233 (2011)cited by 3,100doi:10.1073/pnas.1108174108
  2. Unconventional superconductivity in magic-angle graphene superlatticesCao et al. · Nature 556, 43 (2018)cited by 8,397doi:10.1038/nature26160
  3. Fractional quantum anomalous Hall effect in multilayer grapheneLu et al. · Nature 626, 759 (2024)cited by 515doi:10.1038/s41586-023-07010-7
  4. Infrared single-photon detection with superconducting magic-angle twisted bilayer grapheneDi Battista et al. · Science Advances 10, eadp3725 (2024)doi:10.1126/sciadv.adp3725