Superconductivity, superfluidity and quantum geometry in twisted multilayer systems

P Törmä, S Peotta, BA Bernevig - Nature Reviews Physics, 2022 - nature.com
Superconductivity has been observed in moiré systems such as twisted bilayer graphene,
which host flat, dispersionless electronic bands. In parallel, theory work has discovered that …

Electronic-structure methods for twisted moiré layers

S Carr, S Fang, E Kaxiras - Nature Reviews Materials, 2020 - nature.com
When single layers of 2D materials are stacked on top of one another with a small twist in
orientation, the resulting structure often involves incommensurate moiré patterns. In these …

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 …

Designed growth of large bilayer graphene with arbitrary twist angles

C Liu, Z Li, R Qiao, Q Wang, Z Zhang, F Liu, Z Zhou… - Nature Materials, 2022 - nature.com
The production of large-area twisted bilayer graphene (TBG) with controllable angles is a
prerequisite for proceeding with its massive applications. However, most of the prevailing …

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 …

All magic angles in twisted bilayer graphene are topological

Z Song, Z Wang, W Shi, G Li, C Fang, BA Bernevig - Physical review letters, 2019 - APS
We show that the electronic structure of the low-energy bands in the small angle-twisted
bilayer graphene consists of a series of semimetallic and topological phases. In particular …

Nature of the correlated insulator states in twisted bilayer graphene

M **e, 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 …

Symmetry, maximally localized wannier states, and a low-energy model for twisted bilayer graphene narrow bands

J Kang, O Vafek - Physical Review X, 2018 - APS
We build symmetry-adapted maximally localized Wannier states and construct the low-
energy tight-binding model for the four narrow bands of twisted bilayer graphene. We do so …