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We show that the electronic structure of the low-energy bands in the small angle-twisted bilayer graphene consists of a series of semi-metallic and topological phases. In particular we are able to prove, using an approximate low-energy…

介观与纳米尺度物理 · 物理学 2019-07-24 Zhida Song , Zhijun Wang , Wujun Shi , Gang Li , Chen Fang , B. Andrei Bernevig

Twisted bilayer graphene displays many fascinating properties that can be tuned by varying the relative angle (also called twist angle) between its monolayers. As a remarkable feature, both the electronic flat bands and the corresponding…

材料科学 · 物理学 2022-05-06 V. Hung Nguyen , Trinh X. Hoang , J. -C. Charlier

Strain-induced pseudo magnetic fields offer the possibility of realizing zero magnetic field Quantum Hall effect in graphene, possibly up to room temperature, representing a promising avenue for lossless charge transport applications.…

The search for robust topological superconductivity and Majorana bound states continues, exploring both one-dimensional (1D) systems such as semiconducting nanowires and two-dimensional (2D) platforms. In this work we study a 2D approach…

介观与纳米尺度物理 · 物理学 2023-04-21 Fernando Peñaranda , Ramón Aguado , Elsa Prada , Pablo San-Jose

Divergent density of states offers the unique opportunity to explore a wide variety of correlated electron physics. In the thinnest limit, this has been predicted and verified in the ultra-flat bands of magic-angle twisted bilayer graphene,…

介观与纳米尺度物理 · 物理学 2022-08-15 Anna M. Seiler , Fabian R. Geisenhof , Felix Winterer , Kenji Watanabe , Takashi Taniguchi , Tianyi Xu , Fan Zhang , R. Thomas Weitz

We construct a van der Waals heterostructure consisting of three graphene layers stacked with alternating twisting angles $\pm\theta$. At the average twist angle $\theta\sim 1.56^{\circ}$, a theoretically predicted magic angle for the…

We present a theory of superconductivity in magic-angle twisted bilayer graphene and analyze the superconducting phase diagram in presence of the magnetic field. Namely, we consider a model of a granular array hosting localized states,…

超导电性 · 物理学 2023-03-21 SK Firoz Islam , A. Yu. Zyuzin , Alexander A. Zyuzin

We present simple models to describe the in-plane and the out-of-plane lattice relaxation in twisted bilayer and symmetrically twisted trilayer graphene. Analytical results and series expansions show that for twist angles {\theta} > 1…

介观与纳米尺度物理 · 物理学 2023-11-28 Adrián Ceferino , Francisco Guinea

Twisted van der Waals materials provide a tunable platform for investigating two-dimensional superconductivity and quantum phases. Using spectra-imaging scanning tunneling microscopy, we study the superconducting states in twisted bilayer…

The surprising insulating and superconducting states of narrow-band graphene twisted bilayers have been mostly discussed so far in terms of strong electron correlation, with little or no attention to phonons and electron-phonon effects. We…

强关联电子 · 物理学 2019-10-16 M. Angeli , E. Tosatti , M. Fabrizio

In two-dimensional (2D) twisted bilayers, the van der Waals (vdW) interlayer interaction introduces atomic-scale reconstruction at interface by locally rotating lattice to form strain-field vortex networks in their moir\'e superlattice.…

介观与纳米尺度物理 · 物理学 2021-12-23 Ya-Ning Ren , Yi-Wen Liu , Chao Yan , Lin He

Twisted bilayer graphene exhibits electronic properties that are highly correlated with the size and arrangement of moir\'e patterns. While rigid rotation of two layers creates the topology of moir\'e patterns, local rearrangements of the…

材料科学 · 物理学 2023-04-18 Aditya Dey , Shoieb Ahmed Chowdhury , Tara Peña , Sobhit Singh , Stephen M. Wu , Hesam Askari

Using a Green's function approach, we study phonon-mediated superconducting pairing symmetries that may arise in bilayer graphene where the monolayers are displaced in-plane with respect to each other. We consider a generic coupling…

材料科学 · 物理学 2019-04-26 Mohammad Alidoust , Morten Willatzen , Antti-Pekka Jauho

We study the electronic properties of commensurate faulted bilayer graphene by diagonalizing the one-particle Hamiltonian of the bilayer system in a complete basis of Bloch states of the individual graphene layers. Our novel approach is…

介观与纳米尺度物理 · 物理学 2016-09-02 M. Van der Donck , C. De Beule , B. Partoens , F. M. Peeters , B. Van Duppen

Bilayer graphene, forming moir\'e superlattices, possesses distinct electronic and optical properties derived from the hybridization of energy band and the emergence of van Hove singularities depending on its twist angle. Extensive research…

介观与纳米尺度物理 · 物理学 2025-07-09 Ming Liu , Ryosuke Senga , Masanori Koshino , Yung-Chang Lin , Kazu Suenaga

A range of twist angles between adjacent surfaces/volumes are intrinsic to natural graphite or artificially design in multi-layer graphene. In addition, stacking faults can be created by the application of mechanic, electric or magnetic…

介观与纳米尺度物理 · 物理学 2025-12-15 Nadina Gheorghiu , Charles R. Ebbing , George Y. Panasyuk , Timothy J. Haugan

If we stack up two layers of graphene while changing their respective orientation by some twisting angle, we end up with a system that has striking differences when compared to single-layer graphene. For a very specific value of this twist…

介观与纳米尺度物理 · 物理学 2024-09-18 Eduardo B. Molinero , Anushree Datta , María J. Calderón , Elena Bascones , Rui E. F. Silva

Flat band moir\'e superlattices have recently emerged as unique platforms for investigating the interplay between strong electronic correlations, nontrivial band topology, and multiple isospin 'flavor' symmetries. Twisted monolayer-bilayer…

In two-dimensional van der Waals (vdWs) materials, the relative twist angle between adjacent layers not only controls their electronic properties, but also determines their stacking energy. This effect makes it much easier to realize…

介观与纳米尺度物理 · 物理学 2021-04-06 Yi-Wen Liu , Chen-Yue Hao , Lin He

Moir\'e superlattices have recently emerged as a novel platform where correlated physics and superconductivity can be studied with unprecedented tunability. Although correlated effects have been observed in several other moir\'e systems,…

超导电性 · 物理学 2021-02-03 Jeong Min Park , Yuan Cao , Kenji Watanabe , Takashi Taniguchi , Pablo Jarillo-Herrero