Electronic-structure methods for twisted moiré layers
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 …
orientation, the resulting structure often involves incommensurate moiré patterns. In these …
Orbital magnetic states in moiré graphene systems
Moiré graphene systems have attracted considerable attention in the past 3 years because
they exhibit exotic phenomena including correlated insulating states, unconventional …
they exhibit exotic phenomena including correlated insulating states, unconventional …
Observation of flat bands in twisted bilayer graphene
Transport experiments in twisted bilayer graphene have revealed multiple superconducting
domes separated by correlated insulating states,,,–. These properties are generally …
domes separated by correlated insulating states,,,–. These properties are generally …
General framework for E (3)-equivariant neural network representation of density functional theory Hamiltonian
The combination of deep learning and ab initio calculation has shown great promise in
revolutionizing future scientific research, but how to design neural network models …
revolutionizing future scientific research, but how to design neural network models …
Tunable angle-dependent electrochemistry at twisted bilayer graphene with moiré flat bands
Tailoring electron transfer dynamics across solid–liquid interfaces is fundamental to the
interconversion of electrical and chemical energy. Stacking atomically thin layers with a …
interconversion of electrical and chemical energy. Stacking atomically thin layers with a …
Deep-learning density functional theory Hamiltonian for efficient ab initio electronic-structure calculation
The marriage of density functional theory (DFT) and deep-learning methods has the
potential to revolutionize modern computational materials science. Here we develop a deep …
potential to revolutionize modern computational materials science. Here we develop a deep …
Renormalization group study of hidden symmetry in twisted bilayer graphene with coulomb interactions
O Vafek, J Kang - Physical Review Letters, 2020 - APS
We develop a two stage renormalization group which connects the continuum Hamiltonian
for twisted bilayer graphene at length scales shorter than the moire superlattice period to the …
for twisted bilayer graphene at length scales shorter than the moire superlattice period to the …
Vortexability: A unifying criterion for ideal fractional Chern insulators
Fractional Chern insulators realize the remarkable physics of the fractional quantum Hall
effect (FQHE) in crystalline systems with Chern bands. The lowest Landau level (LLL) is …
effect (FQHE) in crystalline systems with Chern bands. The lowest Landau level (LLL) is …
Correlated insulating and superconducting states in twisted bilayer graphene below the magic angle
The emergence of flat bands and correlated behaviors in “magic angle” twisted bilayer
graphene (tBLG) has sparked tremendous interest, though its many aspects are under …
graphene (tBLG) has sparked tremendous interest, though its many aspects are under …
Non-Abelian Dirac node braiding and near-degeneracy of correlated phases at odd integer filling in magic-angle twisted bilayer graphene
J Kang, O Vafek - Physical Review B, 2020 - APS
We use the density matrix renormalization group (DMRG) to study the correlated electron
states favored by the Coulomb interaction projected onto the narrow bands of twisted bilayer …
states favored by the Coulomb interaction projected onto the narrow bands of twisted bilayer …