: Phonon bands, localized flat-band magnetism, models, and chemical analysis

Y Jiang, SB Lee, J Herzog-Arbeitman, J Yu, X Feng… - Physical Review B, 2023 - APS
In a series of recent reports, doped lead apatite (LK-99) has been proposed as a candidate
ambient temperature and pressure superconductor. However, from both an experimental …

Fractional Chern insulators versus nonmagnetic states in twisted bilayer

J Yu, J Herzog-Arbeitman, M Wang, O Vafek… - Physical Review B, 2024 - APS
Fractionally filled Chern bands with strong interactions may give rise to fractional Chern
insulator (FCI) states, the zero-field analog of the fractional quantum Hall effect. Recent …

Molecular pairing in twisted bilayer graphene superconductivity

YJ Wang, GD Zhou, SY Peng, B Lian, ZD Song - Physical Review Letters, 2024 - APS
We propose a theory for how the weak phonon-mediated interaction (JA= 1–4 meV) wins
over the prohibitive Coulomb repulsion (U= 30–60 meV) and leads to a superconductor in …

Strong electron–phonon coupling in magic-angle twisted bilayer graphene

C Chen, KP Nuckolls, S Ding, W Miao, D Wong, M Oh… - Nature, 2024 - nature.com
The unusual properties of superconductivity in magic-angle twisted bilayer graphene
(MATBG) have sparked considerable research interest 1, 2, 3, 4, 5, 6, 7, 8, 9, 10, 11, 12, 13 …

Magic-angle twisted symmetric trilayer graphene as a topological heavy-fermion problem

J Yu, M **e, BA Bernevig, S Das Sarma - Physical Review B, 2023 - APS
Recently, Song and Bernevig [Phys. Rev. Lett. 129, 047601 (2022) 0031-9007
10.1103/PhysRevLett. 129.047601] reformulated magic-angle twisted bilayer graphene as a …

Nodal band-off-diagonal superconductivity in twisted graphene superlattices

M Christos, S Sachdev, MS Scheurer - Nature Communications, 2023 - nature.com
The superconducting state and mechanism are among the least understood phenomena in
twisted graphene systems. Recent tunneling experiments indicate a transition between …

Fractional Chern Insulators vs. Non-Magnetic States in Twisted Bilayer MoTe

J Yu, J Herzog-Arbeitman, M Wang, O Vafek… - arxiv preprint arxiv …, 2023 - arxiv.org
Fractionally filled Chern bands with strong interactions may give rise to fractional Chern
insulator (FCI) states, the zero-field analogue of the fractional quantum Hall effect. Recent …

“quantum geometric nesting” and solvable model flat-band systems

Z Han, J Herzog-Arbeitman, BA Bernevig, SA Kivelson - Physical Review X, 2024 - APS
We introduce the concept of “quantum geometric nesting”(QGN) to characterize the
idealized ordering tendencies of certain flat-band systems implicit in the geometric structure …

Many-body superconductivity in topological flat bands

J Herzog-Arbeitman, A Chew, KE Huhtinen… - arxiv preprint arxiv …, 2022 - arxiv.org
In a flat band superconductor, bosonic excitations can disperse while unpaired electrons are
immobile. To study this strongly interacting system, we construct a family of multi-band …

Non-trivial quantum geometry and the strength of electron–phonon coupling

J Yu, CJ Ciccarino, R Bianco, I Errea, P Narang… - Nature Physics, 2024 - nature.com
Electron–phonon coupling is crucial for the existence of various phases of matter, in
particular superconductivity and density waves. Here, we devise a theory that incorporates …