Ab initio theory of moiré superlattice bands in layered two-dimensional materials
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In this paper, an approach that uses information obtained from ab initio calculations performed on short-period crystalline structures to derive effective Hamiltonians that are able to efficiently describe the influence of the moir\'e pattern superlattices on electronic properties is presented.Abstract:
When atomically thin two-dimensional (2D) materials are layered, they often form incommensurate noncrystalline structures that exhibit long-period moir\'e patterns when examined by scanning probes. In this paper, we present an approach that uses information obtained from ab initio calculations performed on short-period crystalline structures to derive effective Hamiltonians that are able to efficiently describe the influence of the moir\'e pattern superlattices on electronic properties. We apply our approach to the cases of graphene on graphene (G/G) and graphene on hexagonal boron nitride (G/BN), deriving explicit effective Hamiltonians that have the periodicity of the moir\'e pattern and can be used to calculate electronic properties of interest for arbitrary twist angles and lattice constants.read more
Citations
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Evidence of a gate-tunable Mott insulator in a trilayer graphene moiré superlattice
Guorui Chen,Guorui Chen,Lili Jiang,Shuang Wu,Bosai Lyu,Hongyuan Li,Bheema Lingam Chittari,Kenji Watanabe,Takashi Taniguchi,Zhiwen Shi,Jeil Jung,Yuanbo Zhang,Feng Wang,Feng Wang +13 more
TL;DR: In this paper, a tunable Mott insulator in a trilayer graphene heterostructure with a moire superlattice was proposed, where the competition between the Coulomb interaction and the kinetic energy can be varied in situ.
Journal ArticleDOI
Hubbard Model Physics in Transition Metal Dichalcogenide Moiré Bands.
TL;DR: It is theoretically shown that isolated flat moiré bands described by generalized triangular lattice Hubbard models are present in twisted transition metal dichalcogenide heterobilayers.
Journal ArticleDOI
Theory of Phonon-Mediated Superconductivity in Twisted Bilayer Graphene
TL;DR: 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.
Journal ArticleDOI
Stacking-Dependent Magnetism in Bilayer CrI3
TL;DR: In this paper, the authors reported the connection between the stacking order and magnetic properties of bilayer CrI3 using first-principles calculations and showed that stacking order defines the magnetic ground state.
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Tunable Correlated Chern Insulator and Ferromagnetism in Trilayer Graphene/Boron Nitride Moiré Superlattice
Guorui Chen,Aaron Sharpe,Eli Fox,Ya-Hui Zhang,Shaoxin Wang,Lili Jiang,Bosai Lyu,Hongyuan Li,Kenji Watanabe,Takashi Taniguchi,Zhiwen Shi,T. Senthil,David Goldhaber-Gordon,Yuanbo Zhang,Feng Wang +14 more
TL;DR: In this article, a correlated Chern insulator in a TLG/hBN moire superlattice is reported, showing that reversing the direction of the applied vertical electric field switches minibands between zero and finite Chern numbers, as revealed by dramatic changes in magneto-transport behavior.
References
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Nobel Lecture: Graphene: Materials in the Flatland
TL;DR: Gatys et al. as mentioned in this paper explained the reason for my (and many other people's) fascination with this material, and invite the reader to share some of the excitement I've experienced while researching it.
Book
Theory of the Moiré Phenomenon
TL;DR: Based on the Fourier theory the reader leads the reader through the various phenomena which occur in the superposition of repetitive layers, both in the image and in the spectral domains of the moire phenomenon.