Superconductivity and strong interactions in a tunable moir\'e quasiperiodic crystal
@inproceedings{Uri2023SuperconductivityAS, title={Superconductivity and strong interactions in a tunable moir\'e quasiperiodic crystal}, author={Aviram Uri and Sergio de la Barrera and Mallika T. Randeria and Daniel Rodan-Legrain and Trithep Devakul and Phil Crowley and Nisarga Paul and Kenji Watanabe and Takashi Taniguchi and Ron Lifshitz and Liang Fu and Raymond C. Ashoori and Pablo Jarillo-Herrero}, year={2023} }
,
6 Citations
Multi-scale lattice relaxation in general twisted trilayer graphenes
- 2023
Physics
We present comprehensive theoretical studies on the lattice relaxation and the electronic structures in general non-symemtric twisted trilayer graphenes. By using an effective continuum model, we…
Local atomic stacking and symmetry in twisted graphene trilayers
- 2023
Physics
Moir\'e superlattices formed from twisting trilayers of graphene are an ideal model for studying electronic correlation, and offer several advantages over bilayer analogues, including more robust and…
Incommensurability enabled quasi-fractal order in 1D narrow-band moir\'e systems
- 2023
Physics
We demonstrate that quasiperiodicity can radically change the ground state properties of 1D moir\'e systems with respect to their periodic counterparts. By studying an illustrative example we show…
Incommensurability-Induced Enhancement of Superconductivity in One Dimensional Critical Systems
- 2023
Physics
We show that incommensurability can enhance superconductivity in one dimensional quasiperiodic systems with s-wave pairing. As a parent model, we use a generalized Aubry-Andr\'e model that includes…
Magic Angles In Equal-Twist Trilayer Graphene
- 2023
Physics
We consider a configuration of three stacked graphene monolayers with equal consecutive twist angles $\theta$. Remarkably, in the chiral limit when interlayer coupling terms between $\textrm{AA}$…
Magic Angle Butterfly in Twisted Trilayer Graphene
- 2023
Physics
We consider a configuration of three stacked graphene monolayers with commensurate twist angles $\theta_{12}/\theta_{23}=p/q$, where $p$ and $q$ are coprime integers with $0<p<|q|$ and $q$ can be…
74 References
Van der Waals heterostructures
- 2022
Physics
Nature Reviews Methods Primers
This PrimeView highlights the fabrication of van der Waals heterostructures using top-down and bottom-up processes.
The marvels of moiré materials
- 2021
Physics
Nature Reviews Materials
Moiré systems formed by 2D atomic layers have widely tunable electrical and optical properties and host exotic, strongly correlated and topological phenomena, including superconductivity, correlated…
Interlayer interaction in general incommensurate atomic layers
- 2015
Physics
We present a general theoretical formulation to describe the interlayer interaction in incommensurate bilayer systems with arbitrary crystal structures. By using the generic tight-binding…
Superconductivity on a quasiperiodic lattice: Extended-to-localized crossover of Cooper pairs
- 2017
Physics
We study a possible superconductivity in quasiperiodic systems by portraying the issue within the attractive Hubbard model on a Penrose lattice. Applying a real-space dynamical mean-field theory to…
Fractal energy gaps and topological invariants in hBN/graphene/hBN double moiré systems
- 2021
Physics
Physical Review B
We calculate the electronic structure in quasiperiodic double-moiré systems of graphene sandwiched by hexagonal boron nitride, and identify the topological invariants of energy gaps. We find that the…
Theory of Phonon-Mediated Superconductivity in Twisted Bilayer Graphene.
- 2018
Physics
Physical review letters
Using a microscopic model for phonon coupling to moiré band electrons, it is found that phonons generate attractive interactions in both s- and d-wave pairing channels and that the attraction is strong enough to explain the experimental superconducting transition temperatures.
Quantum critical state in a magnetic quasicrystal.
- 2012
Physics
Nature materials
The first observation of quantum (T = 0) critical phenomena of the Au-Al-Yb quasicrystal is reported--the magnetic susceptibility and the electronic specific heat coefficient arising from strongly correlated 4f electrons of the Yb atoms diverge as T→0.
Quasiperiodicity, band topology, and moiré graphene
- 2020
Physics
A number of moire graphene systems have nearly flat topological bands where electron motion is strongly correlated. Though microscopically these systems are only quasiperiodic, they can typically be…
Correlation-Induced Triplet Pairing Superconductivity in Graphene-Based Moiré Systems
- 2021
Physics
Physical Review Letters
Motivated by the possible non-spin-singlet superconductivity in the magic-angle twisted trilayer graphene experiment, we investigate the triplet-pairing superconductivity arising from a…
Revealing the Topology of Quasicrystals with a Diffraction Experiment.
- 2017
Physics
Physical review letters
This Letter directly observe, using an interferometric approach, all of the topological invariants of finite-length Fibonacci chains in their diffraction pattern, and quantitatively demonstrate the stability of these topology invariants with respect to structural disorder.