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We investigate twisted double bilayer graphene (TDBG), a four-layer system composed of two AB-stacked graphene bilayers rotated with respect to each other by a small angle. Our ab initio band structure calculations reveal a considerable…

介观与纳米尺度物理 · 物理学 2020-04-22 Fatemeh Haddadi , QuanSheng Wu , Alex J. Kruchkov , Oleg V. Yazyev

A remarkable feature of the band structure of bilayer graphene at small twist angle is the appearance of isolated bands near neutrality, whose bandwidth can be reduced at certain magic angles (eg. $\theta\sim 1.05^\circ$). In this regime,…

强关联电子 · 物理学 2018-08-30 Liujun Zou , Hoi Chun Po , Ashvin Vishwanath , T. Senthil

Twisted bilayer graphene exhibits isolated, relatively flat electronic bands near charge neutrality when the interlayer rotation is tuned to specific magic angles. These small misalignments, typically below 1.1{\deg}, result in long-period…

介观与纳米尺度物理 · 物理学 2026-03-26 Antonio Palamara , Michele Pisarra , Antonello Sindona

Twisted graphene bilayers provide a versatile platform to engineer metamaterials with novel emergent properties by exploiting the resulting geometric moir\'{e} superlattice. Such superlattices are known to host bulk valley currents at tiny…

介观与纳米尺度物理 · 物理学 2019-09-04 T. M. R. Wolf , J. L. Lado , G. Blatter , O. Zilberberg

At certain angles of rotation called `magic angles' twisted bilayer graphene features almost flat bands. The resulting strong correlations drive the system to novel phases which have been observed in experiments recently. A complete…

介观与纳米尺度物理 · 物理学 2018-11-01 Steven C. Carter , Hridis K. Pal , M. Kindermann

The structural and electronic properties of twisted bilayer graphene are investigated from first principles and tight binding approach as a function of the twist angle (ranging from the first "magic" angle $\theta=1.08^\circ$ to…

材料科学 · 物理学 2020-10-28 G. Cantele , D. Alfè , F. Conte , V. Cataudella , D. Ninno , P. Lucignano

In this work, we study an interacting tight-binding model of magic-angle twisted bilayer graphene (MATBG), with a twist angle of $1.05^\circ$. We derive effective theories based on a mean-field normal state at charge neutrality, thereby…

强关联电子 · 物理学 2025-05-27 Miguel Sánchez Sánchez , José González , Tobias Stauber

Twisted bilayer graphene (TBG) features strongly correlated and topological phases due to its flat bands emerging near the magic angle. However, the effects of the non-Hermiticity, arising from the coupling to the environment and…

介观与纳米尺度物理 · 物理学 2025-06-06 Juan Pablo Esparza , Vladimir Juricic

We present atomistic calculations on structural and electronic properties of twisted double bilayer graphene (TDBG) consisting of two sets of rotationally misaligned Bernal-stacked bilayer graphene. Obtained equilibrium atomic structures…

介观与纳米尺度物理 · 物理学 2019-11-20 Young Woo Choi , Hyoung Joon Choi

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

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

We study the stability and electronic structure of magic-angle twisted bilayer graphene on the hexagonal boron nitride (TBG/BN). Full relaxation has been performed for commensurate supercells of the heterostructures with different twist…

介观与纳米尺度物理 · 物理学 2021-04-20 Xianqing Lin , Kelu Su , Jun Ni

Twisted bilayer graphene with a twist angle of around 1.1{\deg} features a pair of isolated flat electronic bands and forms a strongly correlated electronic platform. Here, we use scanning tunneling microscopy to probe local properties of…

We report the discovery of a series of non-equilibrium magic angles at which isolated topological flat quasienergy bands form in AA-stacked twisted multilayer graphene under circularly polarized light. These non-equilibrium magic angles can…

强关联电子 · 物理学 2025-03-05 Yantao Li , Wang-Kong Tse

Twisted bilayer graphene (TBG) has been experimentally observed to exhibit almost flat bands when the twisting occurs at certain magic angles. In this letter, we report new results on the continuum model of twisted bilayer graphene and its…

强关联电子 · 物理学 2021-04-21 Simon Becker , Mark Embree , Jens Wittsten , Maciej Zworski

Twisted Bilayer graphene (TBG) is known to feature isolated and relatively flat bands near charge neutrality, when tuned to special magic angles. However, different criteria for the magic angle such as the vanishing of Dirac speed, minimal…

强关联电子 · 物理学 2019-03-27 Grigory Tarnopolsky , Alex J. Kruchkov , Ashvin Vishwanath

The degeneracy of Landau levels flanking charge neutrality in twisted bilayer graphene is known to change from eight-fold to four-fold when the twist angle is reduced to values near the magic angle of $\approx 1.05^\circ$. This degeneracy…

强关联电子 · 物理学 2019-09-11 Ya-Hui Zhang , Hoi Chun Po , T. Senthil

Magic-angle twisted bilayer graphene (MATBG) exhibits correlated phenomena such as superconductivity and Mott insulating state related to the weakly dispersing flat band near the Fermi energy. Beyond its moir\'e period, such flat band is…

Helical twisted trilayer graphene exhibits zero-energy flat bands with large degeneracy in the chiral limit. The flat bands emerge at a discrete set of magic twist angles and feature properties intrinsically distinct from those realized in…

介观与纳米尺度物理 · 物理学 2023-08-08 Daniele Guerci , Yuncheng Mao , Christophe Mora

Magic-angle twisted bilayer graphene exhibits a panoply of many-body phenomena that are intimately tied to the appearance of narrow and well-isolated electronic bands. The microscopic ingredients that are responsible for the complex…

强关联电子 · 物理学 2021-10-04 Cyprian Lewandowski , Stevan Nadj-Perge , Debanjan Chowdhury
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