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 …

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 …

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 …

Strain fields in twisted bilayer graphene

NP Kazmierczak, M Van Winkle, C Ophus… - Nature materials, 2021 - nature.com
Van der Waals heteroepitaxy allows deterministic control over lattice mismatch or azimuthal
orientation between atomic layers to produce long-wavelength superlattices. The resulting …

Improved Neutron Lifetime Measurement with

FM Gonzalez, EM Fries, C Cude-Woods, T Bailey… - Physical review …, 2021 - APS
We report an improved measurement of the free neutron lifetime τ n using the UCN τ
apparatus at the Los Alamos Neutron Science Center. We count a total of approximately 38× …

Hofstadter subband ferromagnetism and symmetry-broken Chern insulators in twisted bilayer graphene

Y Saito, J Ge, L Rademaker, K Watanabe, T Taniguchi… - Nature Physics, 2021 - nature.com
When the twist angle between two layers of graphene is approximately 1.1°, interlayer
tunnelling and rotational misalignment conspire to create a pair of flat bands that are known …

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. III. Interacting Hamiltonian and exact symmetries

BA Bernevig, ZD Song, N Regnault, B Lian - Physical Review B, 2021 - APS
We derive the explicit Hamiltonian of twisted bilayer graphene (TBG) with Coulomb
interaction projected into the flat bands and study the symmetries of the Hamiltonian. First …

Kondo lattice model of magic-angle twisted-bilayer graphene: Hund's rule, local-moment fluctuations, and low-energy effective theory

H Hu, BA Bernevig, AM Tsvelik - Physical review letters, 2023 - APS
We apply a generalized Schrieffer-Wolff transformation to the extended Anderson-like
topological heavy fermion (THF) model for the magic-angle (θ= 1.0 5°) twisted bilayer …

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 …