Graphene bilayers with a twist

EY Andrei, AH MacDonald - Nature materials, 2020 - nature.com
Near a magic twist angle, bilayer graphene transforms from a weakly correlated Fermi liquid
to a strongly correlated two-dimensional electron system with properties that are …

Orbital magnetic states in moiré graphene systems

J Liu, X Dai - Nature Reviews Physics, 2021 - nature.com
Moiré graphene systems have attracted considerable attention in the past 3 years because
they exhibit exotic phenomena including correlated insulating states, unconventional …

Magic-angle twisted bilayer graphene as a topological heavy fermion problem

ZD Song, BA Bernevig - Physical review letters, 2022 - APS
Magic-angle (θ= 1.0 5°) twisted bilayer graphene (MATBG) has shown two seemingly
contradictory characters: the localization and quantum-dot-like behavior in STM …

Maximized electron interactions at the magic angle in twisted bilayer graphene

A Kerelsky, LJ McGilly, DM Kennes, L Xian… - Nature, 2019 - nature.com
The electronic properties of heterostructures of atomically thin van der Waals crystals can be
modified substantially by moiré superlattice potentials from an interlayer twist between …

Tuning superconductivity in twisted bilayer graphene

M Yankowitz, S Chen, H Polshyn, Y Zhang… - Science, 2019 - science.org
Materials with flat electronic bands often exhibit exotic quantum phenomena owing to strong
correlations. An isolated low-energy flat band can be induced in bilayer graphene by simply …

Maximally localized wannier orbitals and the extended hubbard model for twisted bilayer graphene

M Koshino, NFQ Yuan, T Koretsune, M Ochi, K Kuroki… - Physical Review X, 2018 - APS
We develop an effective extended Hubbard model to describe the low-energy electronic
properties of the twisted bilayer graphene. By using the Bloch states in the effective …

Twisted bilayer graphene. IV. Exact insulator ground states and phase diagram

B Lian, ZD Song, N Regnault, DK Efetov, A Yazdani… - Physical Review B, 2021 - APS
We derive the exact insulator ground states of the projected Hamiltonian of magic-angle
twisted bilayer graphene (TBG) flat bands with Coulomb interactions in various limits, and …

Nature of the correlated insulator states in twisted bilayer graphene

M Xie, AH MacDonald - Physical review letters, 2020 - APS
We use self-consistent Hartree-Fock calculations performed in the full π-band Hilbert space
to assess the nature of the recently discovered correlated insulator states in magic-angle …

Failure of Nielsen-Ninomiya theorem and fragile topology in two-dimensional systems with space-time inversion symmetry: application to twisted bilayer graphene at …

J Ahn, S Park, BJ Yang - Physical Review X, 2019 - APS
We show that the Wannier obstruction and the fragile topology of the nearly flat bands in
twisted bilayer graphene at magic angle are manifestations of the nontrivial topology of two …

Twisted bilayer graphene: a phonon-driven superconductor

B Lian, Z Wang, BA Bernevig - Physical review letters, 2019 - APS
We study the electron-phonon coupling in twisted bilayer graphene (TBG), which was
recently experimentally observed to exhibit superconductivity around the magic twist angle …