# Correlated Hofstadter spectrum and flavour phase diagram in magic-angle twisted bilayer graphene

@article{Yu2021CorrelatedHS, title={Correlated Hofstadter spectrum and flavour phase diagram in magic-angle twisted bilayer graphene}, author={Jiachen Yu and Benjamin A. Foutty and Zhaoyu Han and Mark E. Barber and Yoni Schattner and Kenji Watanabe and Takashi Taniguchi and Philip W. Phillips and Zhixuan Shen and Steven A. Kivelson and Benjamin E. Feldman}, journal={Nature Physics}, year={2021}, volume={18}, pages={825 - 831} }

In magic-angle twisted bilayer graphene, the moiré superlattice potential gives rise to narrow electronic bands that support a multitude of many-body quantum phases. Further richness arises in the presence of a perpendicular magnetic field, where the interplay between moiré and magnetic length scales leads to fractal Hofstadter subbands. In this strongly correlated Hofstadter platform, multiple experiments have identified gapped topological and correlated states, but little is known about the…

## 12 Citations

### Global Phase Diagram of the Normal State of Twisted Bilayer Graphene.

- PhysicsPhysical review letters
- 2022

We investigate the full doping and strain-dependent phase diagram of the normal state of magic-angle twisted bilayer graphene (TBG). Using comprehensive Hartree-Fock calculations, we show that at…

### Global phase diagram of twisted bilayer graphene above Tc

- Physics
- 2021

We investigate the full doping and strain-dependent phase diagram (absent superconductivity) of magic-angle twisted bilayer graphene (TBG). Using comprehensive Hartree-Fock calculations, we show that…

### Kekul\'e spiral order in magic-angle graphene: a density matrix renormalization group study

- Physics
- 2022

When the two layers of a twisted moir´e system are subject to diﬀerent degrees of strain, the eﬀect is ampliﬁed by the inverse twist angle, e.g., by a factor of 50 in magic angle twisted bilayer…

### Floquet Hofstadter Butterfly in Trilayer Graphene with a Twisted Top Layer

- PhysicsSSRN Electronic Journal
- 2022

### Magnetic Bloch theorem and reentrant flat bands in twisted bilayer graphene at 2π flux

- PhysicsPhysical Review B
- 2022

Bloch's theorem is the centerpiece of topological band theory, which itself has defined an era of quantum materials research. However, Bloch's theorem is broken by a perpendicular magnetic field,…

### Thermodynamics of correlated electrons in a magnetic field

- PhysicsCommunications Physics
- 2022

The Hofstadter–Hubbard model captures the physics of strongly correlated electrons in an applied magnetic field, which is relevant to many recent experiments on Moiré materials. Few large-scale,…

### Spin skyrmion gaps as signatures of intervalley-coherent insulators in magic-angle twisted bilayer graphene

- Physics
- 2022

regions studied with SET were located and then characterised as a function of gating with MIM. Fig. S7 shows a comparison of the MIM-Im signal, which changes monotonically with conductivity, as a…

### Kekulé Spiral Order at All Nonzero Integer Fillings in Twisted Bilayer Graphene

- PhysicsPhysical Review X
- 2021

Y.H. Kwan, G. Wagner, T. Soejima, M.P. Zaletel, 3 S.H. Simon, S.A. Parameswaran, and N. Bultinck 4 Rudolf Peierls Centre for Theoretical Physics, University of Oxford, Oxford OX1 3PU, United Kingdom…

### Unconventional self-similar Hofstadter superconductivity from repulsive interactions

- PhysicsNature communications
- 2022

Fractal Hofstadter bands have become widely accessible with the advent of moiré superlattices, opening the door to studies of the effect of interactions in these systems. In this work we employ a…

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