Superconductivity and correlated phases in non-twisted bilayer and trilayer graphene

PA Pantaleón, A Jimeno-Pozo, H Sainz-Cruz… - Nature Reviews …, 2023 - nature.com
Twisted bilayer graphene has a rich phase diagram, including superconductivity. Recently,
an unexpected discovery has been the observation of superconductivity in non-twisted …

Intrinsic quantized anomalous Hall effect in a moiré heterostructure

M Serlin, CL Tschirhart, H Polshyn, Y Zhang, J Zhu… - Science, 2020 - science.org
The quantum anomalous Hall (QAH) effect combines topology and magnetism to produce
precisely quantized Hall resistance at zero magnetic field. We report the observation of a …

Independent superconductors and correlated insulators in twisted bilayer graphene

Y Saito, J Ge, K Watanabe, T Taniguchi, AF Young - Nature Physics, 2020 - nature.com
When two sheets of graphene are stacked on top of each other with a small twist of angle
θ≈ 1.1° between them, theory predicts the formation of a flat electronic band,. Experiments …

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 …

Twisted bilayer graphene. V. Exact analytic many-body excitations in Coulomb Hamiltonians: Charge gap, Goldstone modes, and absence of Cooper pairing

BA Bernevig, B Lian, A Cowsik, F Xie, N Regnault… - Physical Review B, 2021 - APS
We find exact analytic expressions for the energies and wave functions of the charged and
neutral excitations above the exact ground states (at rational filling per unit cell) of projected …

Twisted bilayer graphene. II. Stable symmetry anomaly

ZD Song, B Lian, N Regnault, BA Bernevig - Physical Review B, 2021 - APS
We show that the entire continuous model of twisted bilayer graphene (TBG)(and not just the
two active bands) with particle-hole symmetry is anomalous and hence incompatible with …

Nematic topological semimetal and insulator in magic-angle bilayer graphene at charge neutrality

S Liu, E Khalaf, JY Lee, A Vishwanath - Physical Review Research, 2021 - APS
We report on a fully self-consistent Hartree-Fock calculation of interaction effects on the
moiré flat bands of twisted bilayer graphene, assuming that valley U (1) symmetry is …

Twisted trilayer graphene: A precisely tunable platform for correlated electrons

Z Zhu, S Carr, D Massatt, M Luskin, E Kaxiras - Physical review letters, 2020 - APS
We introduce twisted trilayer graphene (tTLG) with two independent twist angles as an ideal
system for the precise tuning of the electronic interlayer coupling to maximize the effect of …

Symmetry breaking and skyrmionic transport in twisted bilayer graphene

S Chatterjee, N Bultinck, MP Zaletel - Physical Review B, 2020 - APS
Motivated by recent low-temperature magnetoresistance measurements in twisted bilayer
graphene aligned with hexagonal boron nitride substrate, we perform a systematic study of …

Classification of critical points in energy bands based on topology, scaling, and symmetry

NFQ Yuan, L Fu - Physical Review B, 2020 - APS
A critical point of the energy dispersion is the momentum where electron velocity vanishes.
At the corresponding energy, the density of states (DOS) exhibits nonanalyticity such as …